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Palmer JC, Sarupria S, Truskett TM. Tribute to Pablo G. Debenedetti. J Phys Chem B 2023; 127:8075-8078. [PMID: 37766640 DOI: 10.1021/acs.jpcb.3c06020] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 09/29/2023]
Affiliation(s)
- Jeremy C Palmer
- Department of Chemical and Biomolecular Engineering, University of Houston, Houston, Texas 77204, United States
| | - Sapna Sarupria
- Department of Chemistry, Chemical Theory Center, University of Minnesota Twin Cities, Minneapolis, Minnesota 55455, United States
| | - Thomas M Truskett
- McKetta Department of Chemical Engineering and Department of Physics, The University of Texas at Austin, Austin, Texas 78712, United States
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2
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Dagès N, Bouthier LV, Matthews L, Manneville S, Divoux T, Poulesquen A, Gibaud T. Interpenetration of fractal clusters drives elasticity in colloidal gels formed upon flow cessation. SOFT MATTER 2022; 18:6645-6659. [PMID: 36004507 DOI: 10.1039/d2sm00481j] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
Abstract
Colloidal gels are out-of-equilibrium soft solids composed of attractive Brownian particles that form a space-spanning network at low volume fractions. The elastic properties of these systems result from the network microstructure, which is very sensitive to shear history. Here, we take advantage of such sensitivity to tune the viscoelastic properties of a colloidal gel made of carbon black nanoparticles. Starting from a fluidized state at an applied shear rate 0, we use an abrupt flow cessation to trigger a liquid-to-solid transition. We observe that the resulting gel is all the more elastic when the shear rate 0 is low and that the viscoelastic spectra can be mapped on a master curve. Moreover, coupling rheometry to small angle X-ray scattering allows us to show that the gel microstructure is different from gels solely formed by thermal agitation where only two length scales are observed: the dimension of the colloidal and the dimension of the fractal aggregates. Competition between shear and thermal energy leads to gels with three characteristic length scales. Such gels structure in a percolated network of fractal clusters that interpenetrate each other. Experiments on gels prepared with various shear histories reveal that cluster interpenetration increases with decreasing values of the shear rate 0 applied before flow cessation. These observations strongly suggest that cluster interpenetration drives the gel elasticity, which we confirm using a structural model. Our results, which are in stark contrast to previous literature, where gel elasticity was either linked to cluster connectivity or to bending modes, highlight a novel local parameter controlling the macroscopic viscoelastic properties of colloidal gels.
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Affiliation(s)
- Noémie Dagès
- Univ Lyon, Ens de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique, F69342 Lyon, France.
| | - Louis V Bouthier
- Groupe CFL, CEMEF, Mines Paristech, 1 Rue Claude Daunesse, 06904 Sophia Antipolis, France
| | - Lauren Matthews
- ESRF - The European Synchrotron, 38043 Grenoble Cedex, France
| | - Sébastien Manneville
- Univ Lyon, Ens de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique, F69342 Lyon, France.
| | - Thibaut Divoux
- Univ Lyon, Ens de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique, F69342 Lyon, France.
| | - Arnaud Poulesquen
- CEA, DES, ISEC, DE2D, SEAD, LCBC, Université of Montpellier, Marcoule, France
| | - Thomas Gibaud
- Univ Lyon, Ens de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique, F69342 Lyon, France.
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3
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Shpotyuk O, Golovchak R, Shpotyuk Y, Kovalskiy A. On the paradigm of physical aging in stoichiometric As2Se3 glass as illusory manifestation of anti-aging ability in optimally-constrained covalent networks. Coord Chem Rev 2021. [DOI: 10.1016/j.ccr.2021.214211] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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4
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Benzi R, Divoux T, Barentin C, Manneville S, Sbragaglia M, Toschi F. Stress Overshoots in Simple Yield Stress Fluids. PHYSICAL REVIEW LETTERS 2021; 127:148003. [PMID: 34652189 DOI: 10.1103/physrevlett.127.148003] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/31/2021] [Revised: 06/25/2021] [Accepted: 09/01/2021] [Indexed: 06/13/2023]
Abstract
Soft glassy materials such as mayonnaise, wet clays, or dense microgels display a solid-to-liquid transition under external shear. Such a shear-induced transition is often associated with a nonmonotonic stress response in the form of a stress maximum referred to as "stress overshoot." This ubiquitous phenomenon is characterized by the coordinates of the maximum in terms of stress σ_{M} and strain γ_{M} that both increase as weak power laws of the applied shear rate. Here we rationalize such power-law scalings using a continuum model that predicts two different regimes in the limit of low and high applied shear rates. The corresponding exponents are directly linked to the steady-state rheology and are both associated with the nucleation and growth dynamics of a fluidized region. Our work offers a consistent framework for predicting the transient response of soft glassy materials upon startup of shear from the local flow behavior to the global rheological observables.
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Affiliation(s)
- Roberto Benzi
- Dipartimento di Fisica, Università di Roma "Tor Vergata" and INFN, Via della Ricerca Scientifica, 1-00133 Roma, Italy
| | - Thibaut Divoux
- Univ Lyon, Ens de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique, F-69342 Lyon, France
| | - Catherine Barentin
- Université de Lyon, Université Claude Bernard Lyon 1, CNRS, Institut Lumière Matière, F-69622 Villeurbanne, France
| | - Sébastien Manneville
- Univ Lyon, Ens de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique, F-69342 Lyon, France
| | - Mauro Sbragaglia
- Dipartimento di Fisica, Università di Roma "Tor Vergata" and INFN, Via della Ricerca Scientifica, 1-00133 Roma, Italy
| | - Federico Toschi
- Department of Applied Physics, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, Netherlands and CNR-IAC, Rome, Italy
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5
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Bhaumik H, Foffi G, Sastry S. The role of annealing in determining the yielding behavior of glasses under cyclic shear deformation. Proc Natl Acad Sci U S A 2021; 118:e2100227118. [PMID: 33850022 PMCID: PMC8072236 DOI: 10.1073/pnas.2100227118] [Citation(s) in RCA: 22] [Impact Index Per Article: 7.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
Yielding behavior in amorphous solids has been investigated in computer simulations using uniform and cyclic shear deformation. Recent results characterize yielding as a discontinuous transition, with the degree of annealing of glasses being a significant parameter. Under uniform shear, discontinuous changes in stresses at yielding occur in the high annealing regime, separated from the poor annealing regime in which yielding is gradual. In cyclic shear simulations, relatively poorly annealed glasses become progressively better annealed as the yielding point is approached, with a relatively modest but clear discontinuous change at yielding. To understand better the role of annealing on yielding characteristics, we perform athermal quasistatic cyclic shear simulations of glasses prepared with a wide range of annealing in two qualitatively different systems-a model of silica (a network glass) and an atomic binary mixture glass. Two strikingly different regimes of behavior emerge. Energies of poorly annealed samples evolve toward a unique threshold energy as the strain amplitude increases, before yielding takes place. Well-annealed samples, in contrast, show no significant energy change with strain amplitude until they yield, accompanied by discontinuous energy changes that increase with the degree of annealing. Significantly, the threshold energy for both systems corresponds to dynamical cross-over temperatures associated with changes in the character of the energy landscape sampled by glass-forming liquids.
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Affiliation(s)
- Himangsu Bhaumik
- Theoretical Sciences Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Bengaluru 560064, India
| | - Giuseppe Foffi
- Laboratoire de Physique des Solides, Université Paris-Saclay, CNRS, 91405 Orsay, France
| | - Srikanth Sastry
- Theoretical Sciences Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Bengaluru 560064, India;
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6
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Cooling under Applied Stress Rejuvenates Amorphous Alloys and Enhances Their Ductility. METALS 2020. [DOI: 10.3390/met11010067] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/21/2023]
Abstract
The effect of tensile stress applied during cooling of binary glasses on the potential energy states and mechanical properties is investigated using molecular dynamics simulations. We study the three-dimensional binary mixture that was first annealed near the glass transition temperature and then rapidly cooled under tension into the glass phase. It is found that at larger values of applied stress, the liquid glass former freezes under higher strain and its potential energy is enhanced. For a fixed cooling rate, the maximum tensile stress that can be applied during cooling is reduced upon increasing initial temperature above the glass transition point. We also show that the amorphous structure of rejuvenated glasses is characterized by an increase in the number of contacts between smaller type atoms. Furthermore, the results of tensile tests demonstrate that the elastic modulus and the peak value of the stress overshoot are reduced in glasses prepared at larger applied stresses and higher initial temperatures, thus indicating enhanced ductility. These findings might be useful for the development of processing and fabrication methods to improve plasticity of bulk metallic glasses.
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7
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Agarwal M, Kaushal M, Joshi YM. Signatures of Overaging in an Aqueous Dispersion of Carbopol. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2020; 36:14849-14863. [PMID: 33241688 DOI: 10.1021/acs.langmuir.0c02887] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
In this work, we study the effect of the deformation field on the physical aging behavior of an aqueous Carbopol dispersion. It is composed of soft swollen particles of gel that get deformed and acquire a polygonal shape, with flat interfaces rendering the dispersion a soft solid-like consistency as filled volume fraction approaches unity. It has been proposed that owing to release of stored elastic energy in the deformed particles, Carbopol dispersion undergoes microstructural evolution that is reminiscent of physical aging in soft glassy materials. We observe that application of moderate magnitude of oscillatory strain to Carbopol dispersion slows down its relaxation dynamics, thereby showing characteristics of overaging. On the other hand, the sufficiently high magnitude of strain makes the relaxation dynamics faster, causing rejuvenation. We also solve the soft glassy rheology model, which, when subjected to the same flow field, corroborates with experimental observations on the Carbopol dispersion. This behavior, therefore, suggests that in a system of jammed soft particles of Carbopol, the particles occupying shallow energy wells upon application of moderate strain field adjust themselves in such a manner that they predominantly occupy the deeper energy wells leading to observe the overaging dynamics.
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Affiliation(s)
- Mayank Agarwal
- Department of Chemical Engineering, Indian Institute of Technology Kanpur, Kanpur 208016, India
| | - Manish Kaushal
- Department of Chemical Engineering, Indian Institute of Technology Kharagpur, Kharagpur 721302, India
| | - Yogesh M Joshi
- Department of Chemical Engineering, Indian Institute of Technology Kanpur, Kanpur 208016, India
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8
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Parmar ADS, Ozawa M, Berthier L. Ultrastable Metallic Glasses In Silico. PHYSICAL REVIEW LETTERS 2020; 125:085505. [PMID: 32909772 DOI: 10.1103/physrevlett.125.085505] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/28/2020] [Accepted: 07/24/2020] [Indexed: 06/11/2023]
Abstract
We develop a generic strategy and simple numerical models for multicomponent metallic glasses for which the swap Monte Carlo algorithm can produce highly stable equilibrium configurations equivalent to experimental systems cooled more than 10^{7} times slower than in conventional simulations. This paves the way for a deeper understanding of the thermodynamic, dynamic, and mechanical properties of metallic glasses. As first applications, we considerably extend configurational entropy measurements down to the experimental glass temperature, and demonstrate a qualitative change of the mechanical response of metallic glasses of increasing stability toward brittleness.
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Affiliation(s)
- Anshul D S Parmar
- Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRS, 34095 Montpellier, France
| | - Misaki Ozawa
- Laboratoire de Physique Statistique, École Normale Supérieure, CNRS, PSL Research University, Sorbonne Université, 75005 Paris, France
| | - Ludovic Berthier
- Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRS, 34095 Montpellier, France
- Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom
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9
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Yeh WT, Ozawa M, Miyazaki K, Kawasaki T, Berthier L. Glass Stability Changes the Nature of Yielding under Oscillatory Shear. PHYSICAL REVIEW LETTERS 2020; 124:225502. [PMID: 32567904 DOI: 10.1103/physrevlett.124.225502] [Citation(s) in RCA: 16] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/28/2019] [Accepted: 05/18/2020] [Indexed: 06/11/2023]
Abstract
We perform molecular dynamics simulations to investigate the effect of a glass preparation on its yielding transition under oscillatory shear. We use swap Monte Carlo to investigate a broad range of glass stabilities from poorly annealed to highly stable systems. We observe a qualitative change in the nature of yielding, which evolves from ductile to brittle as glass stability increases. Our results disentangle the relative role of mechanical and thermal annealing on the mechanical properties of amorphous solids, which is relevant for various experimental situations from the rheology of soft materials to fatigue failure in metallic glasses.
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Affiliation(s)
- Wei-Ting Yeh
- Department of Physics, Nagoya University, 464-8602 Nagoya, Japan
| | - Misaki Ozawa
- Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRS, 34095 Montpellier, France
- Laboratoire de Physique de l'Ecole Normale Supérieure, ENS, Université Paris Sciences et Lettres, CNRS, Sorbonne Université, Université de Paris, F-75005 Paris, France
| | | | - Takeshi Kawasaki
- Department of Physics, Nagoya University, 464-8602 Nagoya, Japan
| | - Ludovic Berthier
- Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRS, 34095 Montpellier, France
- Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom
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10
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Barbot A, Lerbinger M, Lemaître A, Vandembroucq D, Patinet S. Rejuvenation and shear banding in model amorphous solids. Phys Rev E 2020; 101:033001. [PMID: 32289951 DOI: 10.1103/physreve.101.033001] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/23/2019] [Accepted: 02/19/2020] [Indexed: 06/11/2023]
Abstract
We measure the local yield stress, at the scale of small atomic regions, in a deeply quenched two-dimensional glass model undergoing shear banding in response to athermal quasistatic deformation. We find that the occurrence of essentially a single plastic event suffices to bring the local yield stress distribution to a well-defined value for all strain orientations, thus essentially erasing the memory of the initial structure. It follows that in a well-relaxed sample, plastic events cause the abrupt (nucleation-like) emergence of a local softness contrast and thus precipitate the formation of a band, which, in its early stages, is measurably softer than the steady-state flow. Moreover, this postevent yield stress ensemble presents a mean value comparable to that of the inherent states of a supercooled liquid around the mode-coupling temperature T_{MCT}. This, we argue, explains that the transition between brittle and ductile yielding in amorphous materials occurs around a comparable parent temperature. Our data also permit to capture quantitatively the contributions of pressure and density changes and demonstrate unambiguously that they are negligible compared with the changes of softness caused by structural rejuvenation.
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Affiliation(s)
- Armand Barbot
- PMMH, CNRS, ESPCI Paris, Université PSL, Sorbonne Université, Université de Paris, 75005 Paris, France
| | - Matthias Lerbinger
- PMMH, CNRS, ESPCI Paris, Université PSL, Sorbonne Université, Université de Paris, 75005 Paris, France
| | - Anaël Lemaître
- Université Paris-Est, Laboratoire Navier (UMR 8205), CNRS, ENPC, IFSTTAR, F-77420 Marne-la-Vallée, France
| | - Damien Vandembroucq
- PMMH, CNRS, ESPCI Paris, Université PSL, Sorbonne Université, Université de Paris, 75005 Paris, France
| | - Sylvain Patinet
- PMMH, CNRS, ESPCI Paris, Université PSL, Sorbonne Université, Université de Paris, 75005 Paris, France
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11
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Haugan IN, Lee B, Maher MJ, Zografos A, Schibur HJ, Jones SD, Hillmyer MA, Bates FS. Physical Aging of Polylactide-Based Graft Block Polymers. Macromolecules 2019. [DOI: 10.1021/acs.macromol.9b01434] [Citation(s) in RCA: 21] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022]
Affiliation(s)
| | | | | | | | | | - Seamus D. Jones
- Department of Chemical Engineering, University of California, Santa Barbara, Santa Barbara, California 93106, United States
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12
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Zhou ZY, Peng HL, Yu HB. Structural origin for vibration-induced accelerated aging and rejuvenation in metallic glasses. J Chem Phys 2019; 150:204507. [PMID: 31153173 DOI: 10.1063/1.5094825] [Citation(s) in RCA: 17] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Glassy materials are nonequilibrium and their energy states have crucial influences on properties. Recent studies have shown that oscillating deformations (vibrations) can cause either accelerated aging (lowering energy) or rejuvenation (elevating energy); however, the underlying atomic mechanisms remain elusive. Using metallic glasses (MGs) as model systems, we show that the vibration-induced accelerated aging is correlated with the strain field of the stringlike atomic motions stemming from the Johari-Goldstein (β) relaxation, whereas the rejuvenation is associated with nonlinear response and the formation of nanoscale shear bands attributing to the activation of α relaxation. Both processes are affected by thermal fluctuations, which result in an optimal temperature for accelerated aging. These results suggest intrinsic correlations among relaxation dynamics, mechanical properties, and the vibration induced structural rearrangements in MGs.
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Affiliation(s)
- Zhen-Ya Zhou
- Wuhan National High Magnetic Field Center, Huazhong University of Science and Technology, Wuhan 430074, China
| | - Hai-Long Peng
- School of Materials Science and Engineering, Central South University, Changsha 410083, China
| | - Hai-Bin Yu
- Wuhan National High Magnetic Field Center, Huazhong University of Science and Technology, Wuhan 430074, China
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13
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Poling-Skutvik R, Roberts RC, Slim AH, Narayanan S, Krishnamoorti R, Palmer JC, Conrad JC. Structure Dominates Localization of Tracers within Aging Nanoparticle Glasses. J Phys Chem Lett 2019; 10:1784-1789. [PMID: 30916569 DOI: 10.1021/acs.jpclett.9b00309] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
We investigate the transport and localization of tracer probes in a glassy matrix as a function of relative size using dynamic X-ray scattering experiments and molecular dynamics simulations. The quiescent relaxations of tracer particles evolve with increasing waiting time, tw. The corresponding relaxation times increase exponentially at small tw and then transition to a power-law behavior at longer tw. As tracer size decreases, the aging behavior weakens and the particles become less localized within the matrix until they delocalize at a critical size ratio δ0 ≈ 0.38. Localization does not vary with sample age even as the relaxations slow by approximately an order of magnitude, suggesting that matrix structure controls tracer localization.
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Affiliation(s)
- Ryan Poling-Skutvik
- Department of Chemical and Biomolecular Engineering , University of Houston , Houston , Texas 77204-4004 , United States
| | - Ryan C Roberts
- Department of Chemical and Biomolecular Engineering , University of Houston , Houston , Texas 77204-4004 , United States
| | - Ali H Slim
- Department of Chemical and Biomolecular Engineering , University of Houston , Houston , Texas 77204-4004 , United States
| | - Suresh Narayanan
- Advanced Photon Source , Argonne National Laboratory , Argonne , Illinois 60439 , United States
| | - Ramanan Krishnamoorti
- Department of Chemical and Biomolecular Engineering , University of Houston , Houston , Texas 77204-4004 , United States
| | - Jeremy C Palmer
- Department of Chemical and Biomolecular Engineering , University of Houston , Houston , Texas 77204-4004 , United States
| | - Jacinta C Conrad
- Department of Chemical and Biomolecular Engineering , University of Houston , Houston , Texas 77204-4004 , United States
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14
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Long-term creep deformations in colloidal calcium-silicate-hydrate gels by accelerated aging simulations. J Colloid Interface Sci 2019; 542:339-346. [PMID: 30769256 DOI: 10.1016/j.jcis.2019.02.022] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/16/2018] [Revised: 12/24/2018] [Accepted: 02/06/2019] [Indexed: 11/21/2022]
Abstract
When subjected to a sustained load, jammed colloidal gels can feature some delayed viscoplastic creep deformations. However, due to the long timescale of creep (up to several years), its modeling and, thereby, prediction has remained challenging. Here, based on mesoscale simulations of calcium-silicate-hydrate gels (CSH, the binding phase of concrete), we present an accelerated simulation method-based on stress perturbations and overaging-to model creep deformations in CSH. Our simulations yield a very good agreement with nanoindentation creep tests, which suggests that concrete creep occurs through the reorganization of CSH grains at the mesoscale. We show that the creep of CSH exhibits a logarithmic dependence on time-in agreement with the free-volume theory of granular physics. Further, we demonstrate the existence of a linear regime, i.e., wherein creep linearly depends on the applied load-which establishes the creep modulus as a material constant. These results could offer a new physics-based basis for nanoengineering colloidal gels featuring minimal creep.
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15
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Falahati H, Haji-Akbari A. Thermodynamically driven assemblies and liquid-liquid phase separations in biology. SOFT MATTER 2019; 15:1135-1154. [PMID: 30672955 DOI: 10.1039/c8sm02285b] [Citation(s) in RCA: 52] [Impact Index Per Article: 10.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
The sustenance of life depends on the high degree of organization that prevails through different levels of living organisms, from subcellular structures such as biomolecular complexes and organelles to tissues and organs. The physical origin of such organization is not fully understood, and even though it is clear that cells and organisms cannot maintain their integrity without consuming energy, there is growing evidence that individual assembly processes can be thermodynamically driven and occur spontaneously due to changes in thermodynamic variables such as intermolecular interactions and concentration. Understanding the phase separation in vivo requires a multidisciplinary approach, integrating the theory and physics of phase separation with experimental and computational techniques. This paper aims at providing a brief overview of the physics of phase separation and its biological implications, with a particular focus on the assembly of membraneless organelles. We discuss the underlying physical principles of phase separation from its thermodynamics to its kinetics. We also overview the wide range of methods utilized for experimental verification and characterization of phase separation of membraneless organelles, as well as the utility of molecular simulations rooted in thermodynamics and statistical physics in understanding the governing principles of thermodynamically driven biological self-assembly processes.
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Affiliation(s)
- Hanieh Falahati
- Department of Neuroscience, Yale School of Medicine, New Haven, CT 06510, USA.
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16
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Random critical point separates brittle and ductile yielding transitions in amorphous materials. Proc Natl Acad Sci U S A 2018; 115:6656-6661. [PMID: 29891678 DOI: 10.1073/pnas.1806156115] [Citation(s) in RCA: 104] [Impact Index Per Article: 17.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
We combine an analytically solvable mean-field elasto-plastic model with molecular dynamics simulations of a generic glass former to demonstrate that, depending on their preparation protocol, amorphous materials can yield in two qualitatively distinct ways. We show that well-annealed systems yield in a discontinuous brittle way, as metallic and molecular glasses do. Yielding corresponds in this case to a first-order nonequilibrium phase transition. As the degree of annealing decreases, the first-order character becomes weaker and the transition terminates in a second-order critical point in the universality class of an Ising model in a random field. For even more poorly annealed systems, yielding becomes a smooth crossover, representative of the ductile rheological behavior generically observed in foams, emulsions, and colloidal glasses. Our results show that the variety of yielding behaviors found in amorphous materials does not necessarily result from the diversity of particle interactions or microscopic dynamics but is instead unified by carefully considering the role of the initial stability of the system.
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17
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Pinney R, Liverpool TB, Royall CP. Yielding of a model glass former: An interpretation with an effective system of icosahedra. Phys Rev E 2018; 97:032609. [PMID: 29776085 DOI: 10.1103/physreve.97.032609] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/16/2017] [Indexed: 11/07/2022]
Abstract
We consider the yielding under simple shear of a binary Lennard-Jones glass former whose super-Arrhenius dynamics are correlated with the formation of icosahedral structures. We recast this glass former as an effective system of icosahedra [Pinney et al., J. Chem. Phys. 143, 244507 (2015)JCPSA60021-960610.1063/1.4938424]. Looking at the small-strain region of sheared simulations, we observe that shear rates affect the shear localization behavior particularly at temperatures below the glass transition as defined with a fit to the Vogel-Fulcher-Tamman equation. At higher temperature, shear localization starts immediately on shearing for all shear rates. At lower temperatures, faster shear rates can result in a delayed start in shear localization, which begins close to the yield stress. Building from a previous work which considered steady-state shear [Pinney et al., J. Chem. Phys. 143, 244507 (2015)JCPSA60021-960610.1063/1.4938424], we interpret the response to shear and the shear localization in terms of a local effective temperature with our system of icosahedra. We find that the effective temperatures of the regions undergoing shear localization increase significantly with increasing strain (before reaching a steady-state plateau).
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Affiliation(s)
- Rhiannon Pinney
- HH Wills Physics Laboratory, Tyndall Avenue, Bristol BS8 1TL, United Kingdom.,Bristol Centre for Complexity Science, University of Bristol, Bristol BS8 1TS, United Kingdom
| | - Tanniemola B Liverpool
- School of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom.,BrisSynBio, Tyndall Avenue, Bristol BS8 1TQ, United Kingdom
| | - C Patrick Royall
- HH Wills Physics Laboratory, Tyndall Avenue, Bristol BS8 1TL, United Kingdom.,School of Chemistry, University of Bristol, Cantock Close, Bristol BS8 1TS, United Kingdom.,Centre for Nanoscience and Quantum Information, Tyndall Avenue, Bristol BS8 1FD, United Kingdom
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18
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Fan M, Zhang K, Schroers J, Shattuck MD, O'Hern CS. Particle rearrangement and softening contributions to the nonlinear mechanical response of glasses. Phys Rev E 2018; 96:032602. [PMID: 29346996 DOI: 10.1103/physreve.96.032602] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/17/2017] [Indexed: 11/07/2022]
Abstract
Amorphous materials such as metallic, polymeric, and colloidal glasses exhibit complex preparation-dependent mechanical response to applied shear. In particular, glassy solids yield, with a mechanical response that transitions from elastic to plastic, with increasing shear strain. We perform numerical simulations to investigate the mechanical response of binary Lennard-Jones glasses undergoing athermal, quasistatic pure shear as a function of the cooling rate R used to prepare them. The ensemble-averaged stress versus strain curve 〈σ(γ)〉 resembles the spatial average in the large size limit, which appears smooth and displays a putative elastic regime at small strains, a yielding-related peak in stress at intermediate strain, and a plastic flow regime at large strains. In contrast, for each glass configuration in the ensemble, the stress-strain curve σ(γ) consists of many short nearly linear segments that are punctuated by particle-rearrangement-induced rapid stress drops. To explain the nonlinearity of 〈σ(γ)〉, we quantify the shape of the small stress-strain segments and the frequency and size of the stress drops in each glass configuration. We decompose the stress loss [i.e., the deviation in the slope of 〈σ(γ)〉 from that at 〈σ(0)〉] into the loss from particle rearrangements and the loss from softening [i.e., the reduction of the slopes of the linear segments in σ(γ)], and then compare the two contributions as a function of R and γ. For the current studies, the rearrangement-induced stress loss is larger than the softening-induced stress loss, however, softening stress losses increase with decreasing cooling rate. We also characterize the structure of the potential energy landscape along the strain direction for glasses prepared with different R, and observe a dramatic change of the properties of the landscape near the yielding transition. We then show that the rearrangement-induced energy loss per strain can serve as an order parameter for the yielding transition, which sharpens for slow cooling rates and in large systems.
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Affiliation(s)
- Meng Fan
- Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06520, USA.,Center for Research on Interface Structures and Phenomena, Yale University, New Haven, Connecticut 06520, USA
| | - Kai Zhang
- Department of Chemical Engineering, Columbia University, New York, New York 10027, USA
| | - Jan Schroers
- Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06520, USA.,Center for Research on Interface Structures and Phenomena, Yale University, New Haven, Connecticut 06520, USA
| | - Mark D Shattuck
- Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06520, USA.,Department of Physics and Benjamin Levich Institute, The City College of the City University of New York, New York, New York 10031, USA
| | - Corey S O'Hern
- Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06520, USA.,Center for Research on Interface Structures and Phenomena, Yale University, New Haven, Connecticut 06520, USA.,Department of Physics, Yale University, New Haven, Connecticut 06520, USA.,Department of Applied Physics, Yale University, New Haven, Connecticut 06520, USA
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19
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De Rosa C, Scoti M, Auriemma F, Malafronte A, Santillo C, Zanchin G, Pierro I, Leone G, Ricci G. Mechanical Properties of Isotactic 1,2-Poly(E-3-methyl-1,3-pentadiene): An Example of Rubbery Elasticity below Glass Transition Temperature. Macromolecules 2017. [DOI: 10.1021/acs.macromol.7b01661] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Claudio De Rosa
- Dipartimento
di Scienze Chimiche, Università di Napoli Federico II, Complesso Monte S.Angelo, Via Cintia, I-80126 Napoli, Italy
| | - Miriam Scoti
- Dipartimento
di Scienze Chimiche, Università di Napoli Federico II, Complesso Monte S.Angelo, Via Cintia, I-80126 Napoli, Italy
| | - Finizia Auriemma
- Dipartimento
di Scienze Chimiche, Università di Napoli Federico II, Complesso Monte S.Angelo, Via Cintia, I-80126 Napoli, Italy
| | - Anna Malafronte
- Dipartimento
di Scienze Chimiche, Università di Napoli Federico II, Complesso Monte S.Angelo, Via Cintia, I-80126 Napoli, Italy
| | - Chiara Santillo
- Dipartimento
di Scienze Chimiche, Università di Napoli Federico II, Complesso Monte S.Angelo, Via Cintia, I-80126 Napoli, Italy
| | - Giorgia Zanchin
- CNR-Istituto
per
lo Studio delle Macromolecole (ISMAC), Via A. Corti 12, I-20133 Milano, Italy
- Dipartimento
di Chimica, Università degli Studi di Milano, via C. Golgi
19, I-20133 Milano, Italy
| | - Ivana Pierro
- Dipartimento
di Scienze Chimiche, Università di Napoli Federico II, Complesso Monte S.Angelo, Via Cintia, I-80126 Napoli, Italy
- CNR-Istituto
per
lo Studio delle Macromolecole (ISMAC), Via A. Corti 12, I-20133 Milano, Italy
| | - Giuseppe Leone
- CNR-Istituto
per
lo Studio delle Macromolecole (ISMAC), Via A. Corti 12, I-20133 Milano, Italy
| | - Giovanni Ricci
- CNR-Istituto
per
lo Studio delle Macromolecole (ISMAC), Via A. Corti 12, I-20133 Milano, Italy
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20
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Neelamraju S, Oligschleger C, Schön JC. The threshold algorithm: Description of the methodology and new developments. J Chem Phys 2017; 147:152713. [DOI: 10.1063/1.4985912] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Sridhar Neelamraju
- National Centre for Biological Sciences, Tata Institute of Fundamental Research, GKVK Campus, Bengaluru 560065, India
| | - Christina Oligschleger
- University of Applied Sciences Bonn-Rhein-Sieg, Von-Liebig-Str. 20, D-53359 Rheinbach, Germany
| | - J. Christian Schön
- Max Planck Institute for Solid State Research, Heisenbergstr. 1, D-70569 Stuttgart, Germany
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21
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Liu T, Exarhos AL, Alguire EC, Gao F, Salami-Ranjbaran E, Cheng K, Jia T, Subotnik JE, Walsh PJ, Kikkawa JM, Fakhraai Z. Birefringent Stable Glass with Predominantly Isotropic Molecular Orientation. PHYSICAL REVIEW LETTERS 2017; 119:095502. [PMID: 28949582 DOI: 10.1103/physrevlett.119.095502] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/01/2017] [Indexed: 06/07/2023]
Abstract
Birefringence in stable glasses produced by physical vapor deposition often implies molecular alignment similar to liquid crystals. As such, it remains unclear whether these glasses share the same energy landscape as liquid-quenched glasses that have been aged for millions of years. Here, we produce stable glasses of 9-(3,5-di(naphthalen-1-yl)phenyl)anthracene molecules that retain three-dimensional shapes and do not preferentially align in a specific direction. Using a combination of angle- and polarization-dependent photoluminescence and ellipsometry experiments, we show that these stable glasses possess a predominantly isotropic molecular orientation while being optically birefringent. The intrinsic birefringence strongly correlates with increased density, showing that molecular ordering is not required to produce stable glasses or optical birefringence, and provides important insights into the process of stable glass formation via surface-mediated equilibration. To our knowledge, such novel amorphous packing has never been reported in the past.
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Affiliation(s)
- Tianyi Liu
- Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
| | - Annemarie L Exarhos
- Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
| | - Ethan C Alguire
- Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
| | - Feng Gao
- Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
| | | | - Kevin Cheng
- Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
| | - Tiezheng Jia
- Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
| | - Joseph E Subotnik
- Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
| | - Patrick J Walsh
- Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
| | - James M Kikkawa
- Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
| | - Zahra Fakhraai
- Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
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22
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Yu Y, Wang M, Smedskjaer MM, Mauro JC, Sant G, Bauchy M. Thermometer Effect: Origin of the Mixed Alkali Effect in Glass Relaxation. PHYSICAL REVIEW LETTERS 2017; 119:095501. [PMID: 28949559 DOI: 10.1103/physrevlett.119.095501] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/12/2017] [Indexed: 06/07/2023]
Abstract
Despite the dramatic increase of viscosity as temperature decreases, some glasses are known to feature room-temperature relaxation. However, the structural origin of this phenomenon-known as the "thermometer effect"-remains unclear. Here, based on accelerated molecular dynamics simulations of alkali silicate glasses, we show that both enthalpy and volume follow stretched exponential decay functions upon relaxation. However, we observe a bifurcation of their stretching exponents, with β=3/5 and 3/7 for enthalpy and volume relaxation, respectively, in agreement with Phillips's topological diffusion-trap model. Based on these results, we demonstrate that the thermometer effect is a manifestation of the mixed alkali effect. We show that relaxation is driven by the existence of stressed local structural instabilities in mixed alkali glasses. This driving force is found to be at a maximum when the concentrations of each alkali atom equal each other, which arises from a balance between the concentration of each alkali atom and the magnitude of the local stress that they experience.
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Affiliation(s)
- Yingtian Yu
- Physics of AmoRphous and Inorganic Solids Laboratory (PARISlab), Department of Civil and Environmental Engineering, University of California, Los Angeles, California 90095, USA
| | - Mengyi Wang
- Physics of AmoRphous and Inorganic Solids Laboratory (PARISlab), Department of Civil and Environmental Engineering, University of California, Los Angeles, California 90095, USA
| | - Morten M Smedskjaer
- Department of Chemistry and Bioscience, Aalborg University, 9220 Aalborg, Denmark
| | - John C Mauro
- Department of Materials Science and Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
| | - Gaurav Sant
- Laboratory for the Chemistry of Construction Materials (LC2), Department of Civil and Environmental Engineering, University of California, Los Angeles, California 90095, USA
- California Nanosystems Institute (CNSI), University of California, Los Angeles, California 90095, USA
| | - Mathieu Bauchy
- Physics of AmoRphous and Inorganic Solids Laboratory (PARISlab), Department of Civil and Environmental Engineering, University of California, Los Angeles, California 90095, USA
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23
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Bauchy M, Wang M, Yu Y, Wang B, Krishnan NMA, Masoero E, Ulm FJ, Pellenq R. Topological Control on the Structural Relaxation of Atomic Networks under Stress. PHYSICAL REVIEW LETTERS 2017; 119:035502. [PMID: 28777608 DOI: 10.1103/physrevlett.119.035502] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/10/2017] [Indexed: 06/07/2023]
Abstract
Upon loading, atomic networks can feature delayed irreversible relaxation. However, the effect of composition and structure on relaxation remains poorly understood. Herein, relying on accelerated molecular dynamics simulations and topological constraint theory, we investigate the relationship between atomic topology and stress-induced structural relaxation, by taking the example of creep deformations in calcium silicate hydrates (C─S─H), the binding phase of concrete. Under constant shear stress, C─S─H is found to feature delayed logarithmic shear deformations. We demonstrate that the propensity for relaxation is minimum for isostatic atomic networks, which are characterized by the simultaneous absence of floppy internal modes of relaxation and eigenstress. This suggests that topological nanoengineering could lead to the discovery of nonaging materials.
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Affiliation(s)
- Mathieu Bauchy
- Physics of AmoRphous and Inorganic Solids Laboratory (PARISlab), Department of Civil and Environmental Engineering, University of California, Los Angeles, California 90095, USA
| | - Mengyi Wang
- Physics of AmoRphous and Inorganic Solids Laboratory (PARISlab), Department of Civil and Environmental Engineering, University of California, Los Angeles, California 90095, USA
| | - Yingtian Yu
- Physics of AmoRphous and Inorganic Solids Laboratory (PARISlab), Department of Civil and Environmental Engineering, University of California, Los Angeles, California 90095, USA
| | - Bu Wang
- Physics of AmoRphous and Inorganic Solids Laboratory (PARISlab), Department of Civil and Environmental Engineering, University of California, Los Angeles, California 90095, USA
| | - N M Anoop Krishnan
- Physics of AmoRphous and Inorganic Solids Laboratory (PARISlab), Department of Civil and Environmental Engineering, University of California, Los Angeles, California 90095, USA
| | - Enrico Masoero
- School of Civil Engineering and Geosciences, Newcastle University, Newcastle upon Tyne NE1 7RU, United Kingdom
| | - Franz-Joseph Ulm
- Concrete Sustainability Hub, Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, USA
- MIT-CNRS joint laboratory at Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, USA
| | - Roland Pellenq
- Concrete Sustainability Hub, Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, USA
- MIT-CNRS joint laboratory at Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, USA
- Centre Interdisciplinaire des Nanosciences de Marseille, CNRS and Aix-Marseille University, Campus de Luminy, Marseille, 13288 Cedex 09, France
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24
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Fan M, Wang M, Zhang K, Liu Y, Schroers J, Shattuck MD, O'Hern CS. Effects of cooling rate on particle rearrangement statistics: Rapidly cooled glasses are more ductile and less reversible. Phys Rev E 2017; 95:022611. [PMID: 28297989 DOI: 10.1103/physreve.95.022611] [Citation(s) in RCA: 31] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/14/2016] [Indexed: 11/07/2022]
Abstract
Amorphous solids, such as metallic, polymeric, and colloidal glasses, display complex spatiotemporal response to applied deformations. In contrast to crystalline solids, during loading, amorphous solids exhibit a smooth crossover from elastic response to plastic flow. In this study, we investigate the mechanical response of binary Lennard-Jones glasses to athermal, quasistatic pure shear as a function of the cooling rate used to prepare them. We find several key results concerning the connection between strain-induced particle rearrangements and mechanical response. We show that the energy loss per strain dU_{loss}/dγ caused by particle rearrangements for more rapidly cooled glasses is larger than that for slowly cooled glasses. We also find that the cumulative energy loss U_{loss} can be used to predict the ductility of glasses even in the putative linear regime of stress versus strain. U_{loss} increases (and the ratio of shear to bulk moduli decreases) with increasing cooling rate, indicating enhanced ductility. In addition, we characterized the degree of reversibility of particle motion during a single shear cycle. We find that irreversible particle motion occurs even in the linear regime of stress versus strain. However, slowly cooled glasses, which undergo smaller rearrangements, are more reversible during a single shear cycle than rapidly cooled glasses. Thus, we show that more ductile glasses are also less reversible.
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Affiliation(s)
- Meng Fan
- Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06520, USA.,Center for Research on Interface Structures and Phenomena, Yale University, New Haven, Connecticut 06520, USA
| | - Minglei Wang
- Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06520, USA.,Center for Research on Interface Structures and Phenomena, Yale University, New Haven, Connecticut 06520, USA
| | - Kai Zhang
- Department of Chemical Engineering, Columbia University, New York, New York 10027, USA
| | - Yanhui Liu
- Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06520, USA.,Center for Research on Interface Structures and Phenomena, Yale University, New Haven, Connecticut 06520, USA
| | - Jan Schroers
- Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06520, USA.,Center for Research on Interface Structures and Phenomena, Yale University, New Haven, Connecticut 06520, USA
| | - Mark D Shattuck
- Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06520, USA.,Department of Physics and Benjamin Levich Institute, The City College of the City University of New York, New York, New York 10031, USA
| | - Corey S O'Hern
- Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06520, USA.,Center for Research on Interface Structures and Phenomena, Yale University, New Haven, Connecticut 06520, USA.,Department of Physics, Yale University, New Haven, Connecticut 06520, USA.,Department of Applied Physics, Yale University, New Haven, Connecticut 06520, USA
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25
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Saida J, Yamada R, Wakeda M, Ogata S. Thermal rejuvenation in metallic glasses. SCIENCE AND TECHNOLOGY OF ADVANCED MATERIALS 2017; 18:152-162. [PMID: 28458739 PMCID: PMC5402742 DOI: 10.1080/14686996.2017.1280369] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 09/16/2016] [Revised: 01/05/2017] [Accepted: 01/06/2017] [Indexed: 06/07/2023]
Abstract
Structural rejuvenation in metallic glasses by a thermal process (i.e. through recovery annealing) was investigated experimentally and theoretically for various alloy compositions. An increase in the potential energy, a decrease in the density, and a change in the local structure as well as mechanical softening were observed after thermal rejuvenation. Two parameters, one related to the annealing temperature, Ta/Tg, and the other related to the cooling rate during the recovery annealing process, Vc/Vi, were proposed to evaluate the rejuvenation phenomena. A rejuvenation map was constructed using these two parameters. Since the thermal history of metallic glasses is reset above 1.2Tg, accompanied by a change in the local structure, it is essential that the condition of Ta/Tg ≥ 1.2 is satisfied during annealing. The glassy structure transforms into a more disordered state with the decomposition of icosahedral short-range order within this temperature range. Therefore, a new glassy structure (rejuvenation) depending on the subsequent quenching rate is generated. Partial rejuvenation also occurs in a Zr55Al10Ni5Cu30 bulk metallic glass when annealing is performed at a low temperature (Ta/Tg ~ 1.07) followed by rapid cooling. This behavior probably originates from disordering in the weakly bonded (loosely packed) region. This study provides a novel approach to improving the mechanical properties of metallic glasses by controlling their glassy structure.
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Affiliation(s)
- Junji Saida
- Frontier Research Institute for Interdisciplinary Sciences (FRIS), Tohoku University, Sendai, Japan
| | - Rui Yamada
- Frontier Research Institute for Interdisciplinary Sciences (FRIS), Tohoku University, Sendai, Japan
| | - Masato Wakeda
- Graduate School of Engineering Science, Osaka University, Toyonaka, Japan
| | - Shigenobu Ogata
- Graduate School of Engineering Science, Osaka University, Toyonaka, Japan
- Center for Elements Strategy Initiative for Structural Materials (ESISM), Kyoto University, Kyoto, Japan
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26
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Pinney R, Liverpool TB, Royall CP. Structure in sheared supercooled liquids: Dynamical rearrangements of an effective system of icosahedra. J Chem Phys 2017; 145:234501. [PMID: 27984869 DOI: 10.1063/1.4968555] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We consider a binary Lennard-Jones glassformer whose super-Arrhenius dynamics are correlated with the formation of particles organized into icosahedra under simple steady state shear. We recast this glassformer as an effective system of icosahedra [Pinney et al., J. Chem. Phys. 143, 244507 (2015)]. From the observed population of icosahedra in each steady state, we obtain an effective temperature which is linearly dependent on the shear rate in the range considered. Upon shear banding, the system separates into a region of high shear rate and a region of low shear rate. The effective temperatures obtained in each case show that the low shear regions correspond to a significantly lower temperature than the high shear regions. Taking a weighted average of the effective temperature of these regions (weight determined by region size) yields an estimate of the effective temperature which compares well with an effective temperature based on the global mesocluster population of the whole system.
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Affiliation(s)
- Rhiannon Pinney
- HH Wills Physics Laboratory, Tyndall Avenue, Bristol BS8 1TL, United Kingdom
| | | | - C Patrick Royall
- HH Wills Physics Laboratory, Tyndall Avenue, Bristol BS8 1TL, United Kingdom
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27
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Golovchak R, Kozdras A, Shpotyuk O, Balitska V. Crossover between cooperative and fractal relaxation in complex glass-formers. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2016; 28:355101. [PMID: 27365336 DOI: 10.1088/0953-8984/28/35/355101] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
Kinetics of physical aging at different temperatures is studied in situ in arsenic selenide glasses using high-precision differential scanning calorimetry technique. A well-expressed step-like behaviour in the enthalpy recovery kinetics is recorded for low aging temperatures. These fine features disappear when the aging temperature (T a) approaches the glass transition temperature (T g). The overall kinetics is described by stretched exponential function with stretching exponent close to 3/5 at T a > ~0.95 T g almost independent on glass composition, and 3/7 when the aging temperature drops to ~0.9 T g. These values are consistent with the prediction of Phillips' diffusion-to-traps model. Further decrease in aging temperature to ~0.85 T g leads to the appearance of step-like behaviour and stretching exponent of 1/3 for the overall kinetics, which is the limiting value predicted by random walk on the fractal model. Such behavior is explained as crossover from homogeneous cooperative relaxation of non-percolating structural units to high-dimensional fractal relaxation within hierarchically-arranged two-stage physical aging model.
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Affiliation(s)
- R Golovchak
- Department of Physics and Astronomy, Austin Peay State University, Clarksville, TN 37044, USA
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28
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Descamps M, Willart JF. Perspectives on the amorphisation/milling relationship in pharmaceutical materials. Adv Drug Deliv Rev 2016; 100:51-66. [PMID: 26826439 DOI: 10.1016/j.addr.2016.01.011] [Citation(s) in RCA: 93] [Impact Index Per Article: 11.6] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/15/2015] [Revised: 01/15/2016] [Accepted: 01/19/2016] [Indexed: 11/28/2022]
Abstract
This paper presents an overview of recent advances in understanding the role of the amorphous state in the physical and chemical transformations of pharmaceutical materials induced by mechanical milling. The following points are addressed: (1) Is milling really able to amorphise crystals?, (2) Conditions for obtaining an amorphisation, (3) Milling of hydrates, (4) Producing amorphous state without changing the chemical nature, (5) Milling induced crystal to crystal transformations: mediation by an amorphous state, (6) Nature of the amorphous state obtained by milling, (7) Milling of amorphous compounds: accelerated aging or rejuvenation, (8) Specific recrystallisation behaviour, and (9) Toward a rationalisation and conceptual framework.
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Affiliation(s)
- M Descamps
- UMET, Unité Matériaux et Transformations, CNRS, Univ. Lille, F 59 000 Lille, France
| | - J F Willart
- UMET, Unité Matériaux et Transformations, CNRS, Univ. Lille, F 59 000 Lille, France.
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29
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Yu Y, Wang M, Zhang D, Wang B, Sant G, Bauchy M. Stretched Exponential Relaxation of Glasses at Low Temperature. PHYSICAL REVIEW LETTERS 2015; 115:165901. [PMID: 26550886 DOI: 10.1103/physrevlett.115.165901] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/24/2015] [Indexed: 06/05/2023]
Abstract
The question of whether glass continues to relax at low temperature is of fundamental and practical interest. Here, we report a novel atomistic simulation method allowing us to directly access the long-term dynamics of glass relaxation at room temperature. We find that the potential energy relaxation follows a stretched exponential decay, with a stretching exponent β=3/5, as predicted by Phillips's diffusion-trap model. Interestingly, volume relaxation is also found. However, it is not correlated to the energy relaxation, but it is rather a manifestation of the mixed alkali effect.
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Affiliation(s)
- Yingtian Yu
- Physics of AmoRphous and Inorganic Solids Laboratory (PARISlab), Department of Civil and Environmental Engineering, University of California, Los Angeles, California 90095, USA
| | - Mengyi Wang
- Physics of AmoRphous and Inorganic Solids Laboratory (PARISlab), Department of Civil and Environmental Engineering, University of California, Los Angeles, California 90095, USA
| | - Dawei Zhang
- Physics of AmoRphous and Inorganic Solids Laboratory (PARISlab), Department of Civil and Environmental Engineering, University of California, Los Angeles, California 90095, USA
| | - Bu Wang
- Physics of AmoRphous and Inorganic Solids Laboratory (PARISlab), Department of Civil and Environmental Engineering, University of California, Los Angeles, California 90095, USA
| | - Gaurav Sant
- Laboratory for the Chemistry of Construction Materials (LC2), Department of Civil and Environmental Engineering, University of California, Los Angeles, California 90095, USA
- California Nanosystems Institute (CNSI), University of California, Los Angeles, California 90095, USA
| | - Mathieu Bauchy
- Physics of AmoRphous and Inorganic Solids Laboratory (PARISlab), Department of Civil and Environmental Engineering, University of California, Los Angeles, California 90095, USA
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30
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Hebert K, Bending B, Ricci J, Ediger MD. Effect of Temperature on Postyield Segmental Dynamics of Poly(methyl methacrylate) Glasses: Thermally Activated Transitions Are Important. Macromolecules 2015. [DOI: 10.1021/acs.macromol.5b01486] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Kelly Hebert
- Department of Chemistry, University of Wisconsin—Madison, Madison, Wisconsin 53706, United States
| | - Benjamin Bending
- Department of Chemistry, University of Wisconsin—Madison, Madison, Wisconsin 53706, United States
| | - Josh Ricci
- Department of Chemistry, University of Wisconsin—Madison, Madison, Wisconsin 53706, United States
| | - M. D. Ediger
- Department of Chemistry, University of Wisconsin—Madison, Madison, Wisconsin 53706, United States
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31
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Ondreas F, Jancar J. Temperature, Frequency, and Small Static Stress Dependence of the Molecular Mobility in Deformed Amorphous Polymers near Their Glass Transition. Macromolecules 2015. [DOI: 10.1021/acs.macromol.5b00550] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
| | - Josef Jancar
- CEITEC, Brno University of Technology, 616 00 Brno, Czech Republic
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32
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Wakeda M, Saida J, Li J, Ogata S. Controlled rejuvenation of amorphous metals with thermal processing. Sci Rep 2015; 5:10545. [PMID: 26010470 PMCID: PMC4443766 DOI: 10.1038/srep10545] [Citation(s) in RCA: 84] [Impact Index Per Article: 9.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/30/2014] [Accepted: 04/17/2015] [Indexed: 12/02/2022] Open
Abstract
Rejuvenation is the configurational excitation of amorphous materials and is one of the more promising approaches for improving the deformability of amorphous metals that usually exhibit macroscopic brittle fracture modes. Here, we propose a method to control the level of rejuvenation through systematic thermal processing and clarify the crucial feasibility conditions by means of molecular dynamics simulations of annealing and quenching. We also experimentally demonstrate rejuvenation level control in Zr55Al10Ni5Cu30 bulk metallic glass. Our local heat-treatment recipe (rising temperature above 1.1Tg, followed by a temperature quench rate exceeding the previous) opens avenue to modifying the glass properties after it has been cast and processed into near component shape, where a higher local cooling rate may be afforded by for example transient laser heating, adding spatial control and great flexibility to the processing.
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Affiliation(s)
- Masato Wakeda
- Graduate School of Engineering Science, Osaka University, 1-3 Machikaneyama, Toyonaka, Osaka, 560-8531, Japan
| | - Junji Saida
- Frontier Research Institute for Interdisciplinary Sciences, Tohoku University, Aramaki aza Aoba 6-3, Aoba-ku, Sendai, Miyagi, 980-8578, Japan
| | - Ju Li
- Department of Nuclear Science and Engineering and Department of Materials Science and Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts, 02139, USA
| | - Shigenobu Ogata
- 1] Graduate School of Engineering Science, Osaka University, 1-3 Machikaneyama, Toyonaka, Osaka, 560-8531, Japan [2] Center for Elements Strategy Initiative for Structural Materials (ESISM), Yoshida Honmachi, Sakyo-ku, Kyoto University, Kyoto, 606-8501, Japan
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Fiocco D, Foffi G, Sastry S. Memory effects in schematic models of glasses subjected to oscillatory deformation. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2015; 27:194130. [PMID: 25923880 DOI: 10.1088/0953-8984/27/19/194130] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
We consider two schematic models of glasses subjected to oscillatory shear deformation, motivated by the observations, in computer simulations of a model glass, of a nonequilibrium transition from a localized to a diffusive regime as the shear amplitude is increased, and of persistent memory effects in the localized regime. The first of these schematic models is the NK model, a spin model with disordered multi-spin interactions previously studied as a model for sheared amorphous solids. The second model, a transition matrix model, is an abstract formulation of the manner in which occupancy of local energy minima evolves under oscillatory deformation cycles. In both of these models, we find a behavior similar to that of an atomic model glass studied earlier. We discuss possible further extensions of the approaches outlined.
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Affiliation(s)
- Davide Fiocco
- Institute of Theoretical Physics (ITP), Ecole Polytechnique Fédérale de Lausanne (EPFL), 1015 Lausanne, Switzerland
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Shavit A, Riggleman RA. Physical aging, the local dynamics of glass-forming polymers under nanoscale confinement. J Phys Chem B 2014; 118:9096-103. [PMID: 25046680 DOI: 10.1021/jp502952n] [Citation(s) in RCA: 56] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The glass transition temperature marks a point below which a material's properties change significantly, and it is well-established that confinement to the nanoscale modifies the properties of glass-forming materials. We use molecular dynamics simulations to investigate the dynamics and aging behavior of model glass-forming polymers near and below the glass transition temperature of bulk and confined films. We show that both relaxation times and physical age rates vary similarly throughout a free-standing polymer film at temperatures close to the bulk glass transition temperature, where the surfaces have both lower relaxation times and physical age rates. Moreover, we provide evidence suggesting that string lengths in the bulk control dynamic length scales in the film. This realization, combined with the similarity between aging behavior and dynamic profiles, has implications for design rationale in the microelectronics industry.
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Affiliation(s)
- Amit Shavit
- Department of Chemical and Biomolecular Engineering, University of Pennsylvania , Philadelphia, Pennsylvania 19104, United States
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Lempesis N, Vogiatzis GG, Boulougouris GC, van Breemen LC, Hütter M, Theodorou DN. Tracking a glassy polymer on its energy landscape in the course of elastic deformation. Mol Phys 2013. [DOI: 10.1080/00268976.2013.825018] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Papanikolaou S, Schroers J, Shattuck MD, O'Hern CS. Computational studies of the glass-forming ability of model bulk metallic glasses. J Chem Phys 2013; 139:124503. [DOI: 10.1063/1.4821637] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Fiocco D, Foffi G, Sastry S. Oscillatory athermal quasistatic deformation of a model glass. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2013; 88:020301. [PMID: 24032763 DOI: 10.1103/physreve.88.020301] [Citation(s) in RCA: 81] [Impact Index Per Article: 7.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/06/2013] [Revised: 07/12/2013] [Indexed: 06/02/2023]
Abstract
We report computer simulations of oscillatory athermal quasistatic shear deformation of dense amorphous samples of a three-dimensional model glass former. A dynamical transition is observed as the amplitude of the deformation is varied: For large values of the amplitude the system exhibits diffusive behavior and loss of memory of the initial conditions, whereas localization is observed for small amplitudes. Our results suggest that the same kind of transition found in driven colloidal systems is present in the case of amorphous solids (e.g., metallic glasses). The onset of the transition is shown to be related to the onset of energy dissipation. Shear banding is observed for large system sizes, without, however, affecting qualitative aspects of the transition.
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Affiliation(s)
- Davide Fiocco
- Institute of Theoretical Physics, Ecole Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland
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Golovchak R, Kozdras A, Balitska V, Shpotyuk O. Step-wise kinetics of natural physical ageing in arsenic selenide glasses. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2012; 24:505106. [PMID: 23174805 DOI: 10.1088/0953-8984/24/50/505106] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/01/2023]
Abstract
The long-term kinetics of physical ageing at ambient temperature is studied in Se-rich As-Se glasses using the conventional differential scanning calorimetry technique. It is analysed through the changes in the structural relaxation parameters occurring during the glass-to-supercooled liquid transition in the heating mode. Along with the time dependences of the glass transition temperature (T(g)) and partial area (A) under the endothermic relaxation peak, the enthalpy losses (ΔH) and calculated fictive temperature (T(F)) are analysed as key parameters, characterizing the kinetics of physical ageing. The latter is shown to have step-wise character, revealing some kinds of subsequent plateaus and steep regions. A phenomenological description of physical ageing in the investigated glasses is proposed on the basis of an alignment-shrinkage mechanism and first-order kinetic equations.
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Affiliation(s)
- R Golovchak
- Department of Materials Science and Engineering, Lehigh University, Bethlehem, PA 18015-3195, USA.
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Hudzinskyy D, Michels MAJ, Lyulin AV. Rejuvenation, Aging, and Confinement Effects in Atactic-Polystyrene Films Subjected to Oscillatory Shear. MACROMOL THEOR SIMUL 2012. [DOI: 10.1002/mats.201200050] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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Senden DJA, van Dommelen JAW, Govaert LE. Physical aging and deformation kinetics of polycarbonate. ACTA ACUST UNITED AC 2012. [DOI: 10.1002/polb.23161] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Bandyopadhyay A, Odegard GM. Molecular modeling of physical aging in epoxy polymers. J Appl Polym Sci 2012. [DOI: 10.1002/app.38245] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Affiliation(s)
- Anton Smessaert
- Department of Physics and Astronomy, The University of British Columbia, 6224 Agricultural Road,
Vancouver, British Columbia, V6T 1Z1, Canada
| | - Jörg Rottler
- Department of Physics and Astronomy, The University of British Columbia, 6224 Agricultural Road,
Vancouver, British Columbia, V6T 1Z1, Canada
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43
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Odegard GM, Bandyopadhyay A. Physical aging of epoxy polymers and their composites. ACTA ACUST UNITED AC 2011. [DOI: 10.1002/polb.22384] [Citation(s) in RCA: 224] [Impact Index Per Article: 17.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Rodney D, Schrøder T. On the potential energy landscape of supercooled liquids and glasses. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2011; 34:100. [PMID: 21947901 DOI: 10.1140/epje/i2011-11100-2] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/05/2011] [Revised: 07/11/2011] [Accepted: 08/04/2011] [Indexed: 05/31/2023]
Abstract
The activation-relaxation technique (ART), a saddle-point search method, is applied to determine the potential energy landscape around supercooled and glassy configurations of a three-dimensional binary Lennard-Jones system. We show a strong relation between the distribution of activation energies around a given glassy configuration and its history, in particular, the cooling rate used to produce the glass and whether or not the glass was plastically deformed prior to sampling. We also compare the thermally activated transitions found by ART around a supercooled configuration with the succession of transitions undergone by the same supercooled liquid during a time trajectory simulated by molecular dynamics. We find that ART is biased towards more heterogeneous transitions with higher activation energies and more broken bonds than the MD simulation.
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Affiliation(s)
- D Rodney
- Laboratoire Science et Ingénierie des Matériaux et Procédés, Grenoble INP, UJF, CNRS, Domaine Universitaire BP 46, F38402 Saint Martin d'Hères, France.
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Chattoraj J, Caroli C, Lemaître A. Robustness of avalanche dynamics in sheared amorphous solids as probed by transverse diffusion. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2011; 84:011501. [PMID: 21867172 DOI: 10.1103/physreve.84.011501] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/04/2011] [Indexed: 05/31/2023]
Abstract
Using numerical simulations, we perform an extensive finite-size analysis of the transverse diffusion coefficient in a sheared 2D amorphous solid over a broad range of strain rates at temperatures up to the supercooled liquid regime. We thus obtain direct qualitative evidence for the persistence of correlations between elementary plastic events up to the vicinity of the glass transition temperature T(g). A quantitative analysis of the data, combined with a previous study of the T and γ dependence of the macroscopic stress [Phys. Rev. Lett. 105, 266001 (2010)], leads us to conclude that the average avalanche size remains essentially unaffected by temperature up to T ~ 0.75T(g).
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Affiliation(s)
- Joyjit Chattoraj
- Laboratoire Navier, Université Paris Est, ENPC-ParisTech, LCPC, CNRS UMR 8205 2 allée Kepler, F-77420 Champs-sur-Marne, France
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46
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Warren M, Rottler J. Deformation-induced accelerated dynamics in polymer glasses. J Chem Phys 2010; 133:164513. [DOI: 10.1063/1.3505149] [Citation(s) in RCA: 37] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Lee HN, Ediger MD. Interaction between physical aging, deformation, and segmental mobility in poly(methyl methacrylate) glasses. J Chem Phys 2010; 133:014901. [DOI: 10.1063/1.3450318] [Citation(s) in RCA: 33] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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48
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Lee HN, Ediger MD. Mechanical Rejuvenation in Poly(methyl methacrylate) Glasses? Molecular Mobility after Deformation. Macromolecules 2010. [DOI: 10.1021/ma1006649] [Citation(s) in RCA: 56] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Hau-Nan Lee
- Department of Chemistry, University of Wisconsin-Madison, Madison, Wisconsin 53706
| | - M. D. Ediger
- Department of Chemistry, University of Wisconsin-Madison, Madison, Wisconsin 53706
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Rottler J. Fracture in glassy polymers: a molecular modeling perspective. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2009; 21:463101. [PMID: 21715863 DOI: 10.1088/0953-8984/21/46/463101] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
Over the past 25 years, molecular modeling and simulations have provided important insights into the physics of deformation and fracture of glassy polymers. This review presents an overview of key results discussed in the context of experimentally observed polymer behavior. Both atomistic and coarse-grained polymer models have been used in different deformation protocols to study elastic properties, shear yielding, creep, physical aging, strain hardening and crazing. Simulations reproduce most of the macroscopic features of plasticity in polymer glasses such as stress-strain relations and creep response, and reveal information about the underlying atomistic processes. Trends of the shear yield stress with loading conditions, temperature and strain rate, and the atomistic dynamics under load have been systematically explored. Most polymers undergo physical aging, which leads to a history-dependent mechanical response. Simulations of strain hardening and crazing demonstrate the nature of polymer entanglements in the glassy state and the role of local plasticity and provide insight into the origin of fracture toughness of amorphous polymers.
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Affiliation(s)
- Jörg Rottler
- Department of Physics and Astronomy, University of British Columbia, 6224 Agricultural Road, Vancouver, BC, V6T 1Z1, Canada
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