A multi-physics constitutive model to predict hydrolytic aging in quasi-static behaviour of thin cross-linked polymers

Bahrololoumi, Amir; Morovati, Vahid; Poshtan, Emad A.; Dargazany, Roozbeh

doi:10.1016/j.ijplas.2020.102676

A multi-physics constitutive model to predict hydrolytic aging in quasi-static behaviour of thin cross-linked polymers

Journal Article · Sat Feb 01 00:00:00 EST 2020 · International Journal of Plasticity

DOI:https://doi.org/10.1016/j.ijplas.2020.102676· OSTI ID:1799512

Bahrololoumi, Amir ^[1]; Morovati, Vahid ^[2]; Poshtan, Emad A. ^[3]; Dargazany, Roozbeh ^[2]

Michigan State Univ., East Lansing, MI (United States); OSTI
Michigan State Univ., East Lansing, MI (United States)
Robert Bosch Company, Reutlingen (Germany)

The effect of hydrolytic aging on mechanical quasi-static responses of rubber-like materials, in particular, the idealized Mullins effect and permanent set have been modeled. The effect of hydrolytic damage on the mechanical integrity of the polymer matrix is modeled as the direct competition of two micro-structural phenomena (i) chain scission and (ii) reduction of cross-links. Both phenomena and their correlation were modeled and thus, the strain energy of the polymer matrix is written with respect to three independent mechanisms; i) the shrinking original matrix that has not been attacked by water, ii) conversion of the first network to a new network due to the reduction of the cross-links, and iii) energy loss from network degradation due to water attacks to polymer active agents. The proposed model satisfies the Clausius-Duhem inequality and is thus physically feasible. The model is validated with respect to sets of our experimental data and other sets available in the literature. The proposed model is based on the assumption of homogeneous diffusion and mainly relevant for thin samples. In view of its accuracy, interpret-ability, and deep insight it provides into the nature of damage accumulation, the model is a good choice for further implementation in FE applications.

View Accepted Manuscript (DOE)

Research Organization:: Michigan State Univ., East Lansing, MI (United States); Michigan State University, East Lansing, MI (United States)

Sponsoring Organization:: USDOE; USDOE Office of Energy Efficiency and Renewable Energy (EERE), Office of Sustainable Transportation. Vehicle Technologies Office (VTO); USDOE Office of Energy Efficiency and Renewable Energy (EERE), Transportation Office. Vehicle Technologies Office

Grant/Contract Number:: EE0008455

OSTI ID:: 1799512

Alternate ID(s):: OSTI ID: 2328544
OSTI ID: 1616230

Journal Information:: International Journal of Plasticity, Journal Name: International Journal of Plasticity Vol. 130; ISSN 0749-6419

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (58)

Hydrolytic degradation characteristics of aliphatic polyesters derived from lactic and glycolic acids Li, Suming Journal of Biomedical Materials Research, Vol. 48, Issue 3 https://doi.org/10.1002/(SICI)1097-4636(1999)48:3<342::AID-JBM20>3.0.CO;2-7	journal	January 1999
Properties and morphology of poly(L-lactide). II. hydrolysis in alkaline solution Tsuji, Hideto; Ikada, Yoshito Journal of Polymer Science Part A: Polymer Chemistry, Vol. 36, Issue 1 https://doi.org/10.1002/(SICI)1099-0518(19980115)36:1<59::AID-POLA9>3.0.CO;2-X	journal	January 1998
Diffusion and sorption of organic liquids through polymer membranes. II. Neoprene, SBR, EPDM, NBR, and natural rubber versus n-alkanes Harogoppad, S. B.; Aminabhavi, T. M. Journal of Applied Polymer Science, Vol. 42, Issue 8 https://doi.org/10.1002/app.1991.070420824	journal	April 1991
Microstructure-based fatigue modeling of an acrylonitrile butadiene styrene (ABS) copolymer Lugo, Marcos; Fountain, Jason E.; M. Hughes, Justin Journal of Applied Polymer Science, Vol. 131, Issue 20 https://doi.org/10.1002/app.40882	journal	May 2014
Crosslink Density Changes during the Hydrolysis of Tridimensional Polyesters: Crosslink Density Changes during Hydrolysis Richaud, Emmanuel; Gilormini, Pierre; Coquillat, Marie Macromolecular Theory and Simulations, Vol. 23, Issue 5 https://doi.org/10.1002/mats.201300143	journal	February 2014
Numerical integration on the sphere and its effect on the material symmetry of constitutive equations-A comparative study: NUMERICAL INTEGRATION ON THE SPHERE Ehret, A. E.; Itskov, M.; Schmid, H. International Journal for Numerical Methods in Engineering, Vol. 81, Issue 2 https://doi.org/10.1002/nme.2688	journal	July 2009
A thermodynamical framework for chemically reacting systems Kannan, K.; Rajagopal, K. R. Zeitschrift für angewandte Mathematik und Physik, Vol. 62, Issue 2 https://doi.org/10.1007/s00033-010-0104-1	journal	November 2010
Chemo-thermomechanical ageing of elastomers based on multiphase continuum mechanics Johlitz, Michael; Lion, Alexander Continuum Mechanics and Thermodynamics, Vol. 25, Issue 5 https://doi.org/10.1007/s00161-012-0255-8	journal	June 2012
Dynamic stiffness of chemically and physically ageing rubber vibration isolators in the audible frequency range: Part 1: constitutive equations Kari, Leif Continuum Mechanics and Thermodynamics, Vol. 29, Issue 5 https://doi.org/10.1007/s00161-017-0569-7	journal	May 2017
Finite strain numerical analysis of elastomeric bushings under multi-axial loadings: a compressible visco-hyperelastic approach Khajehsaeid, H.; Baghani, M.; Naghdabadi, R. International Journal of Mechanics and Materials in Design, Vol. 9, Issue 4 https://doi.org/10.1007/s10999-013-9228-8	journal	October 2013
Research on new technology for offshore heavy oil thermal recovery with rod pumping Yu, Yanqun; Chang, Zongyu; Qi, Yaoguang Journal of Petroleum Exploration and Production Technology, Vol. 8, Issue 3 https://doi.org/10.1007/s13202-017-0388-1	journal	October 2017
On the durability of rubber/metal bonds in seawater Stevenson, A. International Journal of Adhesion and Adhesives, Vol. 5, Issue 2 https://doi.org/10.1016/0143-7496(85)90020-X	journal	April 1985
Properties and morphology of poly( l -lactide) 4. Effects of structural parameters on long-term hydrolysis of poly( l -lactide) in phosphate-buffered solution Tsuji, Hideto; Ikada, Yoshito Polymer Degradation and Stability, Vol. 67, Issue 1 https://doi.org/10.1016/S0141-3910(99)00111-1	journal	January 2000
Hydrolytic degradation of polyglyconate B: the relationship between degradation time, strength and molecular weight Farrar, D. F.; Gillson, R. K. Biomaterials, Vol. 23, Issue 18 https://doi.org/10.1016/S0142-9612(02)00140-0	journal	September 2002
The hygrothermal aging process and mechanism of the novolac epoxy resin Wang, Man; Xu, Xiaowei; Ji, Jin Composites Part B: Engineering, Vol. 107 https://doi.org/10.1016/j.compositesb.2016.09.067	journal	December 2016
Chemo-mechanics couplings in polymer matrix materials exposed to thermo-oxidative environments Gigliotti, Marco; Grandidier, Jean-Claude Comptes Rendus Mécanique, Vol. 338, Issue 3 https://doi.org/10.1016/j.crme.2010.02.008	journal	March 2010
A strain rate dependent yield criterion for isotropic polymers: Low to high rates of loading Farrokh, Babak; Khan, Akhtar S. European Journal of Mechanics - A/Solids, Vol. 29, Issue 2 https://doi.org/10.1016/j.euromechsol.2009.08.004	journal	March 2010
A review on the Mullins effect Diani, Julie; Fayolle, Bruno; Gilormini, Pierre European Polymer Journal, Vol. 45, Issue 3 https://doi.org/10.1016/j.eurpolymj.2008.11.017	journal	March 2009
Modeling the Mullins effect in elastomers swollen by palm biodiesel Andriyana, Andri; Loo, Mei Sze; Chagnon, Grégory International Journal of Engineering Science, Vol. 95 https://doi.org/10.1016/j.ijengsci.2015.06.005	journal	October 2015
Fatigue damage assessment of unfilled polymers including self-heating effects Shojaei, Amir K.; Volgers, Pieter International Journal of Fatigue, Vol. 100 https://doi.org/10.1016/j.ijfatigue.2017.03.017	journal	July 2017
Thermo-mechanical large deformation response and constitutive modeling of viscoelastic polymers over a wide range of strain rates and temperatures Khan, Akhtar S.; Lopez-Pamies, Oscar; Kazmi, Rehan International Journal of Plasticity, Vol. 22, Issue 4 https://doi.org/10.1016/j.ijplas.2005.08.001	journal	April 2006
A chemo-thermo-mechanically coupled theory for elastic–viscoplastic deformation, diffusion, and volumetric swelling due to a chemical reaction Loeffel, Kaspar; Anand, Lallit International Journal of Plasticity, Vol. 27, Issue 9 https://doi.org/10.1016/j.ijplas.2011.04.001	journal	September 2011
A visco-hyperelastic damage model for cyclic stress-softening, hysteresis and permanent set in rubber using the network alteration theory Ayoub, G.; Zaïri, F.; Naït-Abdelaziz, M. International Journal of Plasticity, Vol. 54 https://doi.org/10.1016/j.ijplas.2013.08.001	journal	March 2014
Thermo-oxidative ageing of elastomers: A modelling approach based on a finite strain theory Johlitz, Michael; Diercks, Nico; Lion, Alexander International Journal of Plasticity, Vol. 63 https://doi.org/10.1016/j.ijplas.2014.01.012	journal	December 2014
A thermo-mechanical large deformation constitutive model for polymers based on material network description: Application to a semi-crystalline polyamide 66 Maurel-Pantel, A.; Baquet, E.; Bikard, J. International Journal of Plasticity, Vol. 67 https://doi.org/10.1016/j.ijplas.2014.10.004	journal	April 2015
A hygro-thermo-mechanical coupled cyclic constitutive model for polymers with considering glass transition Yu, Chao; Kang, Guozheng; Chen, Kaijuan International Journal of Plasticity, Vol. 89 https://doi.org/10.1016/j.ijplas.2016.11.001	journal	February 2017
A micro-mechanical approach to model thermal induced aging in elastomers Mohammadi, Hamid; Dargazany, Roozbeh International Journal of Plasticity, Vol. 118 https://doi.org/10.1016/j.ijplas.2018.12.009	journal	July 2019
Mullins effect and cyclic stress softening of filled elastomers by internal sliding and friction thermodynamics model Cantournet, S.; Desmorat, R.; Besson, J. International Journal of Solids and Structures, Vol. 46, Issue 11-12 https://doi.org/10.1016/j.ijsolstr.2008.12.025	journal	June 2009
A network evolution model for the anisotropic Mullins effect in carbon black filled rubbers Dargazany, Roozbeh; Itskov, Mikhail International Journal of Solids and Structures, Vol. 46, Issue 16 https://doi.org/10.1016/j.ijsolstr.2009.03.022	journal	August 2009
A theory of finite deformation magneto-viscoelasticity Saxena, Prashant; Hossain, Mokarram; Steinmann, Paul International Journal of Solids and Structures, Vol. 50, Issue 24 https://doi.org/10.1016/j.ijsolstr.2013.07.024	journal	November 2013
Constitutive modeling of biodegradable polymers: Hydrolytic degradation and time-dependent behavior Vieira, André C.; Guedes, Rui M.; Tita, Volnei International Journal of Solids and Structures, Vol. 51, Issue 5 https://doi.org/10.1016/j.ijsolstr.2013.12.010	journal	March 2014
Micro-sphere based viscoplastic constitutive model for uncured green rubber Dal, Hüsnü; Zopf, Christoph; Kaliske, Michael International Journal of Solids and Structures, Vol. 132-133 https://doi.org/10.1016/j.ijsolstr.2017.09.013	journal	February 2018
Micro-mechanical modeling of the stress softening in double-network hydrogels Morovati, Vahid; Dargazany, Roozbeh International Journal of Solids and Structures, Vol. 164 https://doi.org/10.1016/j.ijsolstr.2019.01.002	journal	June 2019
Damage-induced hydrolyses modelling of biodegradable polymers for tendons and ligaments repair Vieira, André C.; Guedes, Rui M.; Tita, Volnei Journal of Biomechanics, Vol. 48, Issue 12 https://doi.org/10.1016/j.jbiomech.2015.05.025	journal	September 2015
A micro-macro approach to rubber-like materials?Part I: the non-affine micro-sphere model of rubber elasticity Miehe, C. Journal of the Mechanics and Physics of Solids, Vol. 52, Issue 11 https://doi.org/10.1016/j.jmps.2004.03.011	journal	November 2004
A micro–macro constitutive model for finite-deformation viscoelasticity of elastomers with nonlinear viscosity Zhou, Jianyou; Jiang, Liying; Khayat, Roger E. Journal of the Mechanics and Physics of Solids, Vol. 110 https://doi.org/10.1016/j.jmps.2017.09.016	journal	January 2018
A non-affine micro-macro approach to strain-crystallizing rubber-like materials Rastak, Reza; Linder, Christian Journal of the Mechanics and Physics of Solids, Vol. 111 https://doi.org/10.1016/j.jmps.2017.10.007	journal	February 2018
Analysis of the isotropic models of the Mullins effect based on filled silicone rubber experimental results Machado, G.; Chagnon, G.; Favier, D. Mechanics of Materials, Vol. 42, Issue 9 https://doi.org/10.1016/j.mechmat.2010.07.001	journal	September 2010
Assessment of chemo-mechanical couplings in polymer matrix materials exposed to thermo-oxidative environments at high temperatures and under tensile loadings Gigliotti, Marco; Grandidier, Jean-Claude; Lafarie-Frenot, Marie Christine Mechanics of Materials, Vol. 43, Issue 8 https://doi.org/10.1016/j.mechmat.2011.04.007	journal	August 2011
Questioning numerical integration methods for microsphere (and microplane) constitutive equations Verron, Erwan Mechanics of Materials, Vol. 89 https://doi.org/10.1016/j.mechmat.2015.06.013	journal	October 2015
Hydrolytic degradation and functional stability of a segmented shape memory poly(ester urethane) Pretsch, Thorsten; Jakob, Ines; Müller, Werner Polymer Degradation and Stability, Vol. 94, Issue 1 https://doi.org/10.1016/j.polymdegradstab.2008.10.012	journal	January 2009
Compression set of thermoplastic polyurethane under different thermal–mechanical-moisture conditions Slater, C.; Davis, C.; Strangwood, M. Polymer Degradation and Stability, Vol. 96, Issue 12 https://doi.org/10.1016/j.polymdegradstab.2011.09.012	journal	December 2011
Influence of thermo-oxidative and ozone ageing on the properties of elastomeric magnetic composites Kruželák, Ján; Hudec, Ivan; Dosoudil, Rastislav Polymer Degradation and Stability, Vol. 97, Issue 6 https://doi.org/10.1016/j.polymdegradstab.2012.03.025	journal	June 2012
Accelerated ageing of polylactide in aqueous environments: Comparative study between distilled water and seawater Deroiné, Morgan; Le Duigou, Antoine; Corre, Yves-Marie Polymer Degradation and Stability, Vol. 108 https://doi.org/10.1016/j.polymdegradstab.2014.01.020	journal	October 2014
A non-linear viscoelastic model to describe the mechanical behavior's evolution of biodegradable polymers during hydrolytic degradation Breche, Q.; Chagnon, G.; Machado, G. Polymer Degradation and Stability, Vol. 131 https://doi.org/10.1016/j.polymdegradstab.2016.07.014	journal	September 2016
Cyclic behavior of short glass fiber reinforced polyamide for fatigue life prediction of automotive components Launay, A.; Marco, Y.; Maitournam, M. H. Procedia Engineering, Vol. 2, Issue 1 https://doi.org/10.1016/j.proeng.2010.03.097	journal	April 2010
NET v1.0: A framework to simulate permanent damage in elastomers under quasi-static deformations Morovati, Vahid; Dargazany, Roozbeh SoftwareX, Vol. 10 https://doi.org/10.1016/j.softx.2019.04.001	journal	July 2019
Unraveling the Mechanistic Origins of Epoxy Degradation in Acids Lim, Jacob Song Kiat; Gan, Chee Lip; Hu, Xiao Matthew ACS Omega, Vol. 4, Issue 6 https://doi.org/10.1021/acsomega.9b00859	journal	June 2019
Modeling of polymer erosion Gopferich, Achim; Langer, Robert Macromolecules, Vol. 26, Issue 16 https://doi.org/10.1021/ma00068a006	journal	August 1993
A novel approach to finding mechanical properties of nanocrystal layers Sinha, Mayank; Izadi, Alborz; Anthony, Rebecca Nanoscale, Vol. 11, Issue 15 https://doi.org/10.1039/C9NR02213A	journal	January 2019
Modeling the mechanics of covalently adaptable polymer networks with temperature-dependent bond exchange reactions Long, Rong; Qi, H. Jerry; Dunn, Martin L. Soft Matter, Vol. 9, Issue 15 https://doi.org/10.1039/c3sm27945f	journal	January 2013
Stress Relaxation of Natural and Synthetic Rubber Stocks Tobolsky, A. V.; Prettyman, I. B.; Dillon, J. H. Journal of Applied Physics, Vol. 15, Issue 4 https://doi.org/10.1063/1.1707442	journal	April 1944
A pseudo–elastic model for the Mullins effect in filled rubber Ogden, R. W.; Roxburgh, D. G. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 455, Issue 1988 https://doi.org/10.1098/rspa.1999.0431	journal	August 1999
A Visco-hyperelastic Model for the Thermo-mechanical Behavior of Polymer Fibers Potirniche, G. P.; Pascu, A.; Shoemaker, N. International Journal of Damage Mechanics, Vol. 20, Issue 7 https://doi.org/10.1177/1056789510370394	journal	June 2010
A generalized approach to generate optimized approximations of the inverse Langevin function Morovati, Vahid; Mohammadi, Hamid; Dargazany, Roozbeh Mathematics and Mechanics of Solids, Vol. 24, Issue 7 https://doi.org/10.1177/1081286518811876	journal	November 2018
Evaluation of Long Term Behaviour of Polymers for Offshore Oil and Gas Applications Le Gac, P. -Y.; Davies, P.; Choqueuse, D. Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles, Vol. 70, Issue 2 https://doi.org/10.2516/ogst/2013211	journal	June 2014
An Evaluation of Strain Amplification Concepts via Monte Carlo Simulations of an Ideal Composite Govindjee, Sanjay Rubber Chemistry and Technology, Vol. 70, Issue 1 https://doi.org/10.5254/1.3538416	journal	March 1997
Mechanical Behavior of Particle Filled Elastomers Bergström, Jörgen S.; Boyce, Mary C. Rubber Chemistry and Technology, Vol. 72, Issue 4 https://doi.org/10.5254/1.3538823	journal	September 1999

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