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Mahmood A, Dehn F, Thissen P. Carbonation under Varying Humidity Conditions: A 3D Micro-Scale Kinetic Monte Carlo Approach. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2025; 41:2259-2268. [PMID: 39841802 PMCID: PMC11803703 DOI: 10.1021/acs.langmuir.4c03811] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/27/2024] [Revised: 12/15/2024] [Accepted: 01/02/2025] [Indexed: 01/24/2025]
Abstract
This paper investigates the impact of varying humidity conditions on the carbonation depth in hardened cement paste using a 3-dimensional microscale kinetic Monte Carlo (kMC) approach. The kMC algorithm effectively simulates the carbonation process by capturing the interplay between CO2 diffusion and relative humidity at the microscale, providing insights into macro trends that align with historical models. The study reveals that the maximum carbonation depth is achieved at relative humidity levels between 55 and 65%, where the balance between water and CO2 diffusion is optimized. At lower relative humidity levels (<55%), a lower carbonation depth is observed. Conversely, at higher relative humidity levels (>65%), increased water content impedes CO2 diffusion, resulting in reduced carbonation depth for cement paste. The kMC model demonstrates a parabolic relationship between relative humidity and carbonation depth. Time series analysis shows that Fick's law is consistently followed, with carbonation depth following the relationship x = k√t at constant relative humidity. The kMC also breaks down the event cycle which shows that after an equilibrium (in terms of rate of events) is achieved between CO2 and H2O at a relative humidity of 75%, a shift occurs in the dominance from reactive to transport processes at a relative humidity of 85%. These findings highlight the importance of humidity in influencing carbonation rates on the one hand and demonstrate the effectiveness of the kMC approach in simulating these complex interactions at the microscale on the other hand.
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Affiliation(s)
- Ammar Mahmood
- Institute
of Functional Interfaces, , Hermann-von-Helmholtz-Platz-1, Karlsruhe 76344, Germany
- Institute
of Concrete Structures and Building Materials, Gotthard-Franz-Str. 3, Karlsruhe 76131, Germany
| | - Frank Dehn
- Institute
of Concrete Structures and Building Materials, Gotthard-Franz-Str. 3, Karlsruhe 76131, Germany
| | - Peter Thissen
- Institute
of Concrete Structures and Building Materials, Gotthard-Franz-Str. 3, Karlsruhe 76131, Germany
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2
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Masara F, Benboudjema F, Honorio T. Cavitation, Hydrophilicity, and Sorption Hysteresis in C-S-H Pores: Coupled Effects of Relative Humidity and Temperature. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2024; 40:27286-27298. [PMID: 39703024 DOI: 10.1021/acs.langmuir.4c03223] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/21/2024]
Abstract
Sorption processes are critical for the drying and durability of cement-based materials, directly affecting their thermal properties. Temperature can substantially influence these processes. This work uses molecular simulations to study sorption in C-S-H pores under varying temperatures and relative humidity, considering pore sizes from the gel to the interlayer scale (between 11.6 and 106 Å). We quantify the temperature and pore-size dependence of water cavitation and sorption hysteresis in the C-S-H pores. The critical pore sizes for the disappearance of hysteresis and the reversibility of capillary condensation are identified, with the former being directly associated with cavitation. We show that cavitation occurs only in gel (meso)pores when they are above the critical pore size and below the critical temperature for cavitation. Interlayer pores, a major class of micropores in C-S-H, are not subjected to cavitation. Cavitation in C-S-H pores is homogeneous, occurring in the bulk-like zone of mesopores. The hydrophilicity of the C-S-H surface increases with the temperature, making heterogeneous cavitation less likely to occur. The results above were obtained consistently with three different force field parametrizations, building confidence in their relevance to describe C-S-H interfacial behavior. Finally, we demonstrate that macroscopic considerations for pore emptying and filling, such as the Kelvin-Cohan and equilibrium Derjaguin-Broekhoff-de Boer equations, are not valid or inaccurate when desorption occurs through cavitation in C-S-H. These results are relevant to understanding the sorption processes in other nanolayered adsorbing materials.
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Affiliation(s)
- Fatima Masara
- Université Paris-Saclay, CentraleSupélec, ENS Paris-Saclay, CNRS, LMPS─Laboratoire de Mécanique Paris-Saclay, 91190 Gif-sur-Yvette, France
| | - Farid Benboudjema
- Université Paris-Saclay, CentraleSupélec, ENS Paris-Saclay, CNRS, LMPS─Laboratoire de Mécanique Paris-Saclay, 91190 Gif-sur-Yvette, France
| | - Tulio Honorio
- Université Paris-Saclay, CentraleSupélec, ENS Paris-Saclay, CNRS, LMPS─Laboratoire de Mécanique Paris-Saclay, 91190 Gif-sur-Yvette, France
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3
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Kowaguchi A, Brumby PE, Yasuoka K. Hysteresis Elimination for an Anisotropic Liquid-Crystal Model via Molecule Design and Replica-Exchange Optimization. J Chem Inf Model 2024; 64:4673-4686. [PMID: 38528664 DOI: 10.1021/acs.jcim.4c00078] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/27/2024]
Abstract
The phenomenon of hysteresis in simulations, in which a system's current state is correlated to previous states and inhibits the transition to a more stable phase, may often lead to misleading results in physical chemistry. In this study, in addition to the replica exchange method (REM), a novel approach was taken by combining an evolution strategy based on the evolutionary principles of nature to predict phase transitions for the Hess-Su liquid-crystal model. In this model, an anisotropy term is added to the simple 6-12 Lennard-Jones model to intuitively reproduce the behavior of liquid crystals. We first applied the pressure-temperature REM to the Hess-Su model and optimized the replica spacing for the energy distribution to gain the maximum advantage from the REM. We then used the same approach as for the Hamiltonian REM, seeking to optimize the replica spacing in the same way. Based on both results, we attempted to predict this coarse-grained liquid-crystal model's exact phase transition point. In the Hamiltonian REM, replicas were prepared with different molecular aspect ratios corresponding to the values of the anisotropy terms in the potential function. The Hess-Su liquid-crystal model, which undergoes a direct transition from the nematic to the solid phase without going through a smectic phase, is a challenging research target for understanding phase transitions. Despite the tremendous computational difficulty in overcoming the strong hysteresis present in this system, our method could predict the phase transition point clearly and significantly reduce the extent of hysteresis. Our approach is beneficial when simulating more complex systems and, above all, shows great potential for more accurate and efficient phase transition predictions in the field of molecular simulation in the future.
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Affiliation(s)
- Akie Kowaguchi
- Department of Mechanical Engineering, Keio University, Yokohama 223-8522, Japan
| | - Paul E Brumby
- Department of Mechanical Engineering, Keio University, Yokohama 223-8522, Japan
| | - Kenji Yasuoka
- Department of Mechanical Engineering, Keio University, Yokohama 223-8522, Japan
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Wang G, Tang Z, Gao Y, Liu P, Li Y, Li A, Chen X. Phase Change Thermal Storage Materials for Interdisciplinary Applications. Chem Rev 2023. [PMID: 36946191 DOI: 10.1021/acs.chemrev.2c00572] [Citation(s) in RCA: 47] [Impact Index Per Article: 23.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/23/2023]
Abstract
Functional phase change materials (PCMs) capable of reversibly storing and releasing tremendous thermal energy during the isothermal phase change process have recently received tremendous attention in interdisciplinary applications. The smart integration of PCMs with functional supporting materials enables multiple cutting-edge interdisciplinary applications, including optical, electrical, magnetic, acoustic, medical, mechanical, and catalytic disciplines etc. Herein, we systematically discuss thermal storage mechanism, thermal transfer mechanism, and energy conversion mechanism, and summarize the state-of-the-art advances in interdisciplinary applications of PCMs. In particular, the applications of PCMs in acoustic, mechanical, and catalytic disciplines are still in their infancy. Simultaneously, in-depth insights into the correlations between microscopic structures and thermophysical properties of composite PCMs are revealed. Finally, current challenges and future prospects are also highlighted according to the up-to-date interdisciplinary applications of PCMs. This review aims to arouse broad research interest in the interdisciplinary community and provide constructive references for exploring next generation advanced multifunctional PCMs for interdisciplinary applications, thereby facilitating their major breakthroughs in both fundamental researches and commercial applications.
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Affiliation(s)
- Ge Wang
- Beijing Advanced Innovation Center for Materials Genome Engineering, Beijing Key Laboratory of Function Materials for Molecule & Structure Construction, School of Materials Science and Engineering, University of Science and Technology Beijing, Beijing 100083, China
| | - Zhaodi Tang
- Beijing Advanced Innovation Center for Materials Genome Engineering, Beijing Key Laboratory of Function Materials for Molecule & Structure Construction, School of Materials Science and Engineering, University of Science and Technology Beijing, Beijing 100083, China
| | - Yan Gao
- Beijing Advanced Innovation Center for Materials Genome Engineering, Beijing Key Laboratory of Function Materials for Molecule & Structure Construction, School of Materials Science and Engineering, University of Science and Technology Beijing, Beijing 100083, China
| | - Panpan Liu
- Institute of Advanced Materials, Beijing Normal University, Beijing 100875, China
| | - Yang Li
- Institute of Advanced Materials, Beijing Normal University, Beijing 100875, China
| | - Ang Li
- School of Chemistry Biology and Materials Engineering, Suzhou University of Science and Technology, Suzhou, 215009, China
| | - Xiao Chen
- Institute of Advanced Materials, Beijing Normal University, Beijing 100875, China
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5
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Sun D, Zheng Y, Yan J, Wang Y, Wang J, Wang Z, Chen Z, Cai Y, Cui S, Lan M, Wang Z. Uniaxial tensile deformation and fracture process of structures forming by unsaturated intercalation of amine molecule into C-S-H gel. J Mol Model 2022; 28:29. [PMID: 34989885 DOI: 10.1007/s00894-021-04998-5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/29/2021] [Accepted: 11/29/2021] [Indexed: 11/30/2022]
Abstract
The application of cement-based materials in engineering requires the understanding of their characteristics and subsequent deformation and fracture process of C-S-H gel in service. In this work, three types of amine molecules including tetraethylenepentamine (TEPA), polyacrylamide (PAM), and triethanolamine (TEA) were intercalated into C-S-H gel in an unsaturated status successfully. Systematical analysis was performed on the structures and properties for both C-S-H gel and corresponding amine molecules/C-S-H gel. It was found that the unsaturated intercalation of amine molecules into C-S-H gel plays a key role in the geometry and therein density of nanocomposites. Subsequently, radial distribution function (RDF), time-correlated function (TCF), and mean square displacement (MSD) were applied to characterize the structure and dynamic information of the as-generated nanocomposites, demonstrating the occurrence of interaction between amine molecules with Ca-Si layer and acceleration of water diffusion by unsaturated intercalation of amine molecules into the interlayer region in C-S-H gel. Finally, the deformation and fracture process of C-S-H gel and amine molecules/C-S-H gel under uniaxial tensile loads were given by molecular dynamics simulation. It was indicated that the tangent modulus of nanocomposites demonstrates a strain-softening nature, indicating a visco-elastic behavior. The breakage of Ca-O bonds and hydrogen bonds dominates the fracture of C-S-H gel. Weak interaction for TEPA/C-S-H gel or TEA/C-S-H gel leads to a decreased tensile strength. Local stress concentration in other interlayer region governs the deformation and fracture process in spite of the formation of strong interaction between double bonded polar oxygen atoms in PAM molecules and Ca atoms in C-S-H gel.
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Affiliation(s)
- Dawei Sun
- College of Materials Science and Engineering, Beijing University of Technology, Beijing, 100124, China
| | - Yan Zheng
- College of Materials Science and Engineering, Beijing University of Technology, Beijing, 100124, China
| | - Jianhua Yan
- College of Materials Science and Engineering, Beijing University of Technology, Beijing, 100124, China
| | - Yali Wang
- College of Materials Science and Engineering, Beijing University of Technology, Beijing, 100124, China
| | - Jianfeng Wang
- College of Materials Science and Engineering, Beijing University of Technology, Beijing, 100124, China
| | - Ziming Wang
- College of Materials Science and Engineering, Beijing University of Technology, Beijing, 100124, China
| | - Zherui Chen
- Dalian University of Technology, Dalian, 116024, China
| | - Yufeng Cai
- State Key Laboratory of Special Functional Waterproof Materials, Beijing, 100123, China
| | - Suping Cui
- College of Materials Science and Engineering, Beijing University of Technology, Beijing, 100124, China.
| | - Mingzhang Lan
- College of Materials Science and Engineering, Beijing University of Technology, Beijing, 100124, China.
| | - Zhiyong Wang
- Center for Artificial Intelligence and Data Science, Northeastern University, Shenyang, 110819, China. .,School of Mechatronical Engineering, Beijing Institute of Technology, Beijing, 100081, China.
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6
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Honorio T, Brochard L. Drained and undrained heat capacity of swelling clays. Phys Chem Chem Phys 2022; 24:15003-15014. [DOI: 10.1039/d2cp01419j] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
In microporous materials, poromechanical drained (open pore) and undrained (close pore) conditions play a role in the thermo-mechanical properties, which can also be affected by specific ion effects. Heat capacity...
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Tu Y, Shi P, Liu D, Wen R, Yu Q, Sas G, Elfgren L. Mechanical properties of calcium silicate hydrate under uniaxial and biaxial strain conditions: a molecular dynamics study. Phys Chem Chem Phys 2021; 24:1156-1166. [PMID: 34931206 DOI: 10.1039/d1cp04474e] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Calcium silicate hydrate (C-S-H) is the main hydration product of cementitious materials, often experiencing complex stress conditions in practical applications. Therefore, reactive molecular dynamics methods were used to investigate the mechanical response of the atomistic structure of C-S-H under various uniaxial and biaxial strain conditions. The results of uniaxial simulations show that C-S-H exhibits mechanical anisotropy and tension-compression asymmetry due to its layered atomistic structure. By fitting the stress-strain data, a stress-strain relationship that accurately represents the elastoplasticity of C-S-H was developed. The biaxial yield surface obtained from biaxial simulations was ellipsoidal, again reflecting the anisotropy and asymmetry of C-S-H. Four yield criteria (von Mises, Drucker-Prager, Hill, and Liu-Huang-Stout) were further investigated, and it was found that the Liu-Huang-Stout criterion can effectively capture all the major features of the yield surface. During a uniaxial tensile process in the z direction, multi-crack propagation was observed, which was aggravated and weakened by y direction tensile and compressive strains respectively. The results of chemical bond analyses revealed that, for different strain conditions, the CaW-OS and CaS-OS bonds play different roles in resisting deformation.
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Affiliation(s)
- Yongming Tu
- Key Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education, School of Civil Engineering, Southeast University, 211189, Nanjing, P. R. China. .,National Engineering Research Center for Prestressing Technology, Southeast University, 211189, Nanjing, P. R. China.,Division of Structural and Fire Engineering, Department of Civil, Environmental and Natural Resources Engineering, Luleå University of Technology, SE-97187, Luleå, Sweden.
| | - Pan Shi
- Key Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education, School of Civil Engineering, Southeast University, 211189, Nanjing, P. R. China. .,National Engineering Research Center for Prestressing Technology, Southeast University, 211189, Nanjing, P. R. China
| | - Dongyun Liu
- Division of Structural and Fire Engineering, Department of Civil, Environmental and Natural Resources Engineering, Luleå University of Technology, SE-97187, Luleå, Sweden.
| | - Rongjia Wen
- Key Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education, School of Civil Engineering, Southeast University, 211189, Nanjing, P. R. China.
| | - Qian Yu
- Key Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education, School of Civil Engineering, Southeast University, 211189, Nanjing, P. R. China.
| | - Gabriel Sas
- Division of Structural and Fire Engineering, Department of Civil, Environmental and Natural Resources Engineering, Luleå University of Technology, SE-97187, Luleå, Sweden. .,SINTEF Narvik AS, Narvik 8517, Norway
| | - Lennart Elfgren
- Division of Structural and Fire Engineering, Department of Civil, Environmental and Natural Resources Engineering, Luleå University of Technology, SE-97187, Luleå, Sweden.
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8
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Heinz O, Heinz H. Cement Interfaces: Current Understanding, Challenges, and Opportunities. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2021; 37:6347-6356. [PMID: 34000196 DOI: 10.1021/acs.langmuir.1c00617] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
Cement and concrete are rapidly growing in demand and pose many unresolved chemistry questions at particle interfaces, during hydration reactions, regarding the role of electrolytes and organic additives. Solutions through developing greener, more sustainable formulations are needed to reduce the high carbon footprint that amounts to 11% of global CO2 emissions. Cement is a multiphase material composed of calcium silicates, aluminates, and other mineral phases, produced from natural and low-cost industrial sources, which undergoes complex hydration reactions. This perspective highlights current research challenges and opportunities for new chemistry insight, including intriguing colloid and interface science problems that involve mineral surfaces, electrolytes, polymers, and hydration reactions. Specifically, we discuss (1) characteristics of cement phases, supplementary cementitious materials, and other constituents, (2) hydration reactions and the characterization by imaging and NMR spectroscopy, (3) the structure of hydrated cement phases including calcium-silicate-hydrates at different scales, (4) quantitative simulation techniques from the atomic scale to microscale kinetic models, and (5) the function of organic additives. Focusing on new directions, we explain the benefits of integrating knowledge from inorganic chemistry, acid-base chemistry, polymer chemistry, reaction mechanisms, and theory to describe mesoscale cement properties and bulk properties upon manufacturing.
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Affiliation(s)
- Ozge Heinz
- Department of Chemical and Biological Engineering, University of Colorado Boulder, Boulder, Colorado 80309, United States
| | - Hendrik Heinz
- Department of Chemical and Biological Engineering, University of Colorado Boulder, Boulder, Colorado 80309, United States
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9
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Zhou J, Liang Y. Reactive molecular dynamics simulation on the structure characteristics and tensile properties of calcium silicate hydrate at various temperatures and strain rates. MOLECULAR SIMULATION 2020. [DOI: 10.1080/08927022.2020.1807543] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Jikai Zhou
- College of Civil and Transportation Engineering, Hohai University, Nanjing, People’s Republic of China
| | - Yuanzhi Liang
- College of Civil and Transportation Engineering, Hohai University, Nanjing, People’s Republic of China
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10
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Honorio T, Bore T, Benboudjema F, Vourc’h E, Ferhat M. Dielectric properties of the pore solution in cement-based materials. J Mol Liq 2020. [DOI: 10.1016/j.molliq.2020.112548] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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Honorio T, Chemgne Tamouya OM, Shi Z. Specific ion effects control the thermoelastic behavior of nanolayered materials: the case of crystalline alkali-silica reaction products. Phys Chem Chem Phys 2020; 22:27800-27810. [DOI: 10.1039/d0cp04955g] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We perform molecular simulations to characterize the structure and the thermo-mechanical behavior of crystalline alkali-silica reaction (ASR) products, which are layered silicate analogous to shlykovite.
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Affiliation(s)
- Tulio Honorio
- Université Paris-Saclay
- ENS Paris-Saclay
- CNRS
- LMT – Laboratoire de Mécanique et Technologie
- Gif-sur-Yvette
| | | | - Zhenguo Shi
- Laboratory for Concrete & Construction Chemistry
- Swiss Federal Laboratories for Materials Science and Technology (Empa)
- 8600 Dübendorf
- Switzerland
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Lyngdoh GA, Kumar R, Krishnan NMA, Das S. Realistic atomic structure of fly ash-based geopolymer gels: Insights from molecular dynamics simulations. J Chem Phys 2019. [DOI: 10.1063/1.5121519] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023] Open
Affiliation(s)
- Gideon A. Lyngdoh
- Department of Civil and Environmental Engineering, University of Rhode Island, Kingston, Rhode Island 02881, USA
| | - Rajesh Kumar
- Department of Civil Engineering, Indian Institute of Technology Delhi, Hauz Khas, New Delhi 110016, India
| | - N. M. Anoop Krishnan
- Department of Civil Engineering, Indian Institute of Technology Delhi, Hauz Khas, New Delhi 110016, India
- Department of Materials Science and Engineering, Indian Institute of Technology Delhi, Hauz Khas, New Delhi 110016, India
| | - Sumanta Das
- Department of Civil and Environmental Engineering, University of Rhode Island, Kingston, Rhode Island 02881, USA
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Honorio T, Benboudjema F, Bore T, Ferhat M, Vourc'h E. The pore solution of cement-based materials: structure and dynamics of water and ions from molecular simulations. Phys Chem Chem Phys 2019; 21:11111-11121. [PMID: 31094387 DOI: 10.1039/c9cp01577a] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Diffusion processes are crucial to the durability and confinement capacity of cement-based materials as well as property development. The liquid phase in cement-based materials is the pore solution, whose composition changes with age and is a function of the cement system composition. Water structure and dynamics are recognized to be affected by the presence of ions. Fundamental understanding of the physical processes underlying these changes can be critical in the elucidation of the physical origin of durability issues and in the development of new admixtures. Here, the structure and dynamics of water and ions present in pore solutions are studied using molecular dynamics simulations. Self-diffusion coefficients are computed for bulk solutions mimicking the complex composition of pore solutions. Specific ion effects on water dynamics are interpreted in terms of water reorientation time. The composition dependency of ion dynamics explains the evolution of the ionic conductivity of the pore solutions.
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Affiliation(s)
- Tulio Honorio
- LMT/ENS-Cachan/CNRS/Université Paris Saclay, Cachan, France.
| | | | - Thierry Bore
- School of Civil Engineering, The University of Queensland, Brisbane, Australia
| | - Mehdi Ferhat
- SATIE, UMR CNRS 8029, ENS Paris Saclay, Université Paris Saclay, Cachan, France
| | - Eric Vourc'h
- SATIE, UMR CNRS 8029, ENS Paris Saclay, Université Paris Saclay, Cachan, France
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