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Li H, Xu JS, Chen X, Zhang JF, Li J. A nonlinear viscoelastic constitutive model with damage and experimental validation for composite solid propellant. Sci Rep 2023; 13:2049. [PMID: 36739301 PMCID: PMC9899231 DOI: 10.1038/s41598-023-29214-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/09/2022] [Accepted: 01/31/2023] [Indexed: 02/05/2023] Open
Abstract
The development of a nonlinear viscoelastic constitutive model of composite solid propellant (CSP) coupled with effects of strain rate and confining pressure is essential to assess the reliability of solid propellant grains during ignition operation process. In the present work, a nonlinear viscoelastic constitutive model with novel energy-based damage initiation criterion and evolution model was firstly proposed to describe the coupled effects of confining pressure and strain rate on mechanical responses of CSP. In the developed damage initiation criterion and evolution model, the linear viscoelastic strain energy density was introduced as the damage driving force, and the coupled effects of strain rate, damage history and confining pressure on damage growth were taken into account. Then, uniaxial tensile tests from low strain rates to medium strain rates and various confining pressures, and stress relaxation tests were conducted using a self-made active confining pressure device. Finally, the identification procedures of model parameters and validation results of the constitutive model were presented. Moreover, the master curve of damage initiation parameter was constructed through the time-pressure superposition principle (TPSP). The results show that the developed nonlinear constitutive model is capable of predicting the stress-strain responses of CSP under different strain rates and confining pressures.
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Affiliation(s)
- Hui Li
- grid.410579.e0000 0000 9116 9901School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, 210094 People’s Republic of China
| | - Jin-sheng Xu
- grid.410579.e0000 0000 9116 9901School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, 210094 People’s Republic of China
| | - Xiong Chen
- grid.410579.e0000 0000 9116 9901School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, 210094 People’s Republic of China
| | - Jun-fa Zhang
- Beijing Institute of Space Long March Vehicle, Beijing, 100070 People’s Republic of China
| | - Juan Li
- Xi’an Changfeng Research Institute of Mechanism and Electricity, Xi’an, 710065 People’s Republic of China
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Song Y, Lugo EL, Powell S, Tzeng P, Wilhite BA, Grunlan JC. Highly selective multilayer polymer thin films for CO2
/N2
separation. ACTA ACUST UNITED AC 2017. [DOI: 10.1002/polb.24421] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Affiliation(s)
- Yixuan Song
- Department of Materials Science and Engineering; Texas A&M University; College Station Texas 77843
| | - Elva L. Lugo
- Artie McFerrin Department of Chemical Engineering; Texas A&M University; College Station Texas 77843
| | - Stuart Powell
- Artie McFerrin Department of Chemical Engineering; Texas A&M University; College Station Texas 77843
| | - Ping Tzeng
- Artie McFerrin Department of Chemical Engineering; Texas A&M University; College Station Texas 77843
| | - Benjamin A. Wilhite
- Artie McFerrin Department of Chemical Engineering; Texas A&M University; College Station Texas 77843
| | - Jaime C. Grunlan
- Department of Materials Science and Engineering; Texas A&M University; College Station Texas 77843
- Department of Mechanical Engineering; Texas A&M University; College Station TX 77843
- Department of Chemistry; Texas A&M University; College Station TX 77843
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3
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Bonetti M. Pressure-Induced Glass Transition Probed via the Mobility of Coumarin 1 Fluorescent Molecule. J Phys Chem B 2016; 120:4319-28. [PMID: 27110923 DOI: 10.1021/acs.jpcb.6b02004] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The route to form a glass is generally achieved upon cooling where the slowing down might be interpreted as the trapping of molecules in potential wells. On the other hand, isothermal compression induces a glassy state by modifying the molecular packing ending in jamming. Here, we focus on how isothermal compression perturbs the mobility of a probe molecule in three different host liquids up to the pressure-induced glass transition. By use of the fluorescence recovery technique, the diffusion of the fluorescent molecule Coumarin 1 (C1) is measured in poly(propylene glycol) (PPG-1000M and -2700M), in the fragile van der Waals propylene carbonate (PC), and in hydrogen-bonded methanol and ethanol. High pressures up to 6 GPa are obtained with a diamond anvil cell. In PC at a pressure ∼1.3 GPa close to the glass-transition pressure, the diffusion coefficient of C1 follows an Arrhenius behavior with an ∼5 orders of magnitude increase of the diffusive time. No decoupling from the Stokes-Einstein equation is noticed. A similar exponential behavior is measured in ethanol and methanol but extended to different pressure ranges up to 2.5 and 6.2 GPa, respectively. In PPG-1000M a decoupling from the Stokes-Einstein relation is observed between 0.3 and 0.8 GPa that could be related to a modification of the interaction between polymer segments and the probe molecule. These results might indicate that interaction between probe and dynamic heterogeneities become less important under applied pressure, unlike in the temperature-induced glass transition.
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Affiliation(s)
- Marco Bonetti
- SPEC, CEA, CNRS, Université Paris-Saclay , CEA Saclay, 91191 Gif sur Yvette, France
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Adrjanowicz K, Kaminski K, Wojnarowska Z, Dulski M, Hawelek L, Pawlus S, Paluch M, Sawicki W. Dielectric Relaxation and Crystallization Kinetics of Ibuprofen at Ambient and Elevated Pressure. J Phys Chem B 2010; 114:6579-93. [DOI: 10.1021/jp910009b] [Citation(s) in RCA: 98] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- K. Adrjanowicz
- Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland
| | - K. Kaminski
- Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland
| | - Z. Wojnarowska
- Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland
| | - M. Dulski
- Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland
| | - L. Hawelek
- Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland
| | - S. Pawlus
- Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland
| | - M. Paluch
- Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland
| | - W. Sawicki
- Department of Pharmaceutical Technology, Medical University of Gdansk, Hallera 107, 80-416, Gdansk, Poland
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Wang Q, Li S, He L, Qian Y, Li X, Sun W, Liu M, Li J, Li Y, Yang G. Pressure-Induced Emission Enhancement of a Series of Dicyanovinyl-Substituted Aromatics: Pressure Tuning of the Molecular Population with Different Conformations. Chemphyschem 2008; 9:1146-52. [DOI: 10.1002/cphc.200700837] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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Prevosto D, Capaccioli S, Lucchesi M, Rolla PA, Paluch M, Pawlus S, Zioło J. Emergence of a new feature in the high pressure-high temperature relaxation spectrum of tri-propylene glycol. J Chem Phys 2005; 122:061102. [PMID: 15740359 DOI: 10.1063/1.1858857] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We investigated dielectric relaxation of a tri-propylene glycol system under high compression. By increasing temperature and pressure we observed that a new relaxation process emerges from the low frequency tail of the structural peak. This new peak starts to be visible at about 0.5 GPa and becomes clearly evident at 1.7 GPa. However, this additional peak merges again with the structural one as the glass transition is approached, since it has a weaker temperature dependence. This finding enriches the relaxation scenario of molecular glass formers confirming that the application of very high hydrostatic pressure can favor the detection of new relaxation or otherwise unresolved processes in supercooled liquid systems.
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Affiliation(s)
- D Prevosto
- INFM and Dipartimento di Fisica Università di Pisa, Largo Pontecorvo 3, I-56127 Pisa, Italy
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Casalini R, Roland CM. Dielectric α-relaxation and ionic conductivity in propylene glycol and its oligomers measured at elevated pressure. J Chem Phys 2003. [DOI: 10.1063/1.1624401] [Citation(s) in RCA: 58] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Floudas G, Mierzwa M, Schönhals A. Temperature and pressure dependence of the dynamics in a poly(methyl acrylate) side-chain liquid-crystalline polymer. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2003; 67:031705. [PMID: 12689086 DOI: 10.1103/physreve.67.031705] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/22/2002] [Indexed: 05/24/2023]
Abstract
The molecular dynamics of a side-chain polymer liquid crystal with a poly(methyl acrylate) backbone and a (p-alkoxy-phenyl)-benzoate mesogenic group have been studied in the unaligned state as a function of temperature and pressure using dielectric spectroscopy. Polarizing optical microscopy, differential scanning calorimetry, and pressure-volume-temperature (PVT) measurements revealed three transition temperatures separating four phases (glass, smectic, nematic, and isotropic). Different dynamic processes have been identified reflecting librational modes (gamma process), local relaxation of the mesogenic group (beta process), the segmental mode (alpha process) associated with the dynamic glass transition, and a slower process (delta process) reflecting the side-chain dynamics within the liquid crystal order. Pressure exerts a stronger influence on the alpha as compared to the delta process. Starting from the nematic phase, pressure was found to induce the nematic-to-smectic transformation. The associated dynamic changes were in excellent agreement with the PVT results implying that the dynamics are directly coupled to the thermodynamic state. Pressure was found to enhance the stability of the smectic order within the P-T phase diagram.
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Affiliation(s)
- G Floudas
- University of Ioannina, Department of Physics, P.O. Box 1186, 451 10 Ioannina, Greece.
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Shilov V, Sperkach V, Sperkach Y, Strybulevych A. Acoustic Relaxation of Liquid Poly(tetramethylene oxide) with Hydroxyl and Acyl Terminal Groups. Polym J 2002. [DOI: 10.1295/polymj.34.565] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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10
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Floudas G, Gravalides C, Reisinger T, Wegner G. Effect of pressure on the segmental and chain dynamics of polyisoprene. Molecular weight dependence. J Chem Phys 1999. [DOI: 10.1063/1.480327] [Citation(s) in RCA: 85] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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11
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Heaton NJ, Bello P, Herradón B, del Campo A, Jiménez-Barbero J, Heaton NJ, Bello P, Herradón B, del Campo A, Jiménez-Barbero J. NMR Study of Intramolecular Interactions between Aromatic Groups: Van der Waals, Charge-Transfer, or Quadrupolar Interactions? J. Am. Chem. Soc. 1998, 120, 9632−9645NMR Study of Intramolecular Interactions between Aromatic Groups: Van der Waals, Charge-Transfer, or Quadrupolar Interactions? J Am Chem Soc 1998. [DOI: 10.1021/ja985529z] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
| | | | | | | | | | - Nicholas J. Heaton
- Contribution from the Instituto de Ciencia y Tecnología de Polímeros (CSIC) and Instituto de Química Orgánica (CSIC), Juan de la Cierva 3, 28006 Madrid, Spain
| | - Pablo Bello
- Contribution from the Instituto de Ciencia y Tecnología de Polímeros (CSIC) and Instituto de Química Orgánica (CSIC), Juan de la Cierva 3, 28006 Madrid, Spain
| | - Bernardo Herradón
- Contribution from the Instituto de Ciencia y Tecnología de Polímeros (CSIC) and Instituto de Química Orgánica (CSIC), Juan de la Cierva 3, 28006 Madrid, Spain
| | - Aránzazu del Campo
- Contribution from the Instituto de Ciencia y Tecnología de Polímeros (CSIC) and Instituto de Química Orgánica (CSIC), Juan de la Cierva 3, 28006 Madrid, Spain
| | - Jesús Jiménez-Barbero
- Contribution from the Instituto de Ciencia y Tecnología de Polímeros (CSIC) and Instituto de Química Orgánica (CSIC), Juan de la Cierva 3, 28006 Madrid, Spain
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Heaton NJ, Bello P, Herradón B, del Campo A, Jiménez-Barbero J. NMR Study of Intramolecular Interactions between Aromatic Groups: Van der Waals, Charge-Transfer, or Quadrupolar Interactions? J Am Chem Soc 1998. [DOI: 10.1021/ja980528s] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Nicholas J. Heaton
- Contribution from the Instituto de Ciencia y Tecnología de Polímeros (CSIC) and Instituto de Química Orgánica (CSIC), Juan de la Cierva 3, 28006 Madrid, Spain
| | - Pablo Bello
- Contribution from the Instituto de Ciencia y Tecnología de Polímeros (CSIC) and Instituto de Química Orgánica (CSIC), Juan de la Cierva 3, 28006 Madrid, Spain
| | - Bernardo Herradón
- Contribution from the Instituto de Ciencia y Tecnología de Polímeros (CSIC) and Instituto de Química Orgánica (CSIC), Juan de la Cierva 3, 28006 Madrid, Spain
| | - Aránzazu del Campo
- Contribution from the Instituto de Ciencia y Tecnología de Polímeros (CSIC) and Instituto de Química Orgánica (CSIC), Juan de la Cierva 3, 28006 Madrid, Spain
| | - Jesús Jiménez-Barbero
- Contribution from the Instituto de Ciencia y Tecnología de Polímeros (CSIC) and Instituto de Química Orgánica (CSIC), Juan de la Cierva 3, 28006 Madrid, Spain
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13
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Andersson SP, Andersson O. Relaxation Studies of Poly(propylene glycol) under High Pressure. Macromolecules 1998. [DOI: 10.1021/ma971282z] [Citation(s) in RCA: 203] [Impact Index Per Article: 7.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- S. Peter Andersson
- Department of Experimental Physics, Umeå University, S-901 87 Umeå, Sweden
| | - Ove Andersson
- Department of Experimental Physics, Umeå University, S-901 87 Umeå, Sweden
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14
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Smith SW, Freeman BD, Hall CK. Pressure-Dependent Photon Correlation Spectroscopic Investigation of Poly(propylene oxide) near the Glass Transition. Macromolecules 1997. [DOI: 10.1021/ma960408+] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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