Comptes Rendus
no. 3
Chemo-mechanics couplings in polymer matrix materials exposed to thermo-oxidative environments
[Couplages oxydation–mécanique dans les résines de type époxy soumises à un environnement dit « haute température »]
Marco Gigliotti1  ; Jean-Claude Grandidier1
1 Institut Pprime, CNRS – ENSMA – Universitè de Poitiers, Département Physique et Mécanique des Matériaux, ENSMA Téleport 2 – 1, Avenue Clement Ader, BP 40109 – F86961 Futuroscope Chasseneuil Cedex, France
Comptes Rendus. Mécanique, Volume 338 (2010) no. 3, pp. 164-175.

Le présent article s'intéresse à la modélisation des couplages entre l'oxydation et la mécanique dans les résines de type époxy soumises à un environnement dit « haute température » (150 °C). Le couplage entre le schéma mécanistique de réaction diffusion de l'oxygène et la mécanique est abordé théoriquement en utilisant une approche classique de la thermodynamique des processus irréversibles. Il est montré que le phénomène de diffusion–réaction peut être influencé par le tenseur des déformations mais aussi par le gradient spatial de la trace des déformations.

The present article focuses on the modelling of chemo-mechanics couplings in polymer matrix materials exposed to thermo-oxidative environments at high temperatures (150 °C). The coupling between oxygen reaction–diffusion and mechanics is put in evidence theoretically through the employment of a unified approach, based on the thermodynamics of irreversible processes; it is found that oxygen reaction–diffusion in the polymer matrix can be influenced by the strain tensor, in particular by its trace and by its spatial gradients.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2010.02.008
Keywords: Continuum mechanics, Thermo-oxidation, Diffusion–mechanics couplings, Thermodynamics of irreversible processes
Mot clés : Milieux continus, Thermo oxydation, Couplage diffusion mécanique, Thermodynamique des processus irréversibles
Marco Gigliotti 1 ; Jean-Claude Grandidier 1

1 Institut Pprime, CNRS – ENSMA – Universitè de Poitiers, Département Physique et Mécanique des Matériaux, ENSMA Téleport 2 – 1, Avenue Clement Ader, BP 40109 – F86961 Futuroscope Chasseneuil Cedex, France 
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Marco Gigliotti; Jean-Claude Grandidier. Chemo-mechanics couplings in polymer matrix materials exposed to thermo-oxidative environments. Comptes Rendus. Mécanique, Volume 338 (2010) no. 3, pp. 164-175. doi : 10.1016/j.crme.2010.02.008. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.02.008/

[1] M.C. Lafarie-Frenot Damage mechanisms induced by cyclic ply-stresses in carbon-epoxy laminates: Environmental effects, International Journal of Fatigue, Volume 28 (2006), pp. 1202-1216

[2] X. Colin; C. Marais; J. Verdu A new method for predicting the thermal oxidation of thermoset matrices. Application to an amine crosslinked epoxy, Polymer Testing, Volume 20 (2001), pp. 795-803

[3] X. Colin; J. Verdu Strategy for studying thermal oxidation of organic matrix composites, Composites Science and Technology, Volume 65 (2005), pp. 411-419

[4] J. Decelle; N. Huet; V. Bellenger Oxidation induced shrinkage for thermally aged epoxy networks, Polymer Degradation and Stability, Volume 81 (2003), pp. 239-248

[5] H.L. McManus; B.J. Foch; R.A. Cunningham Mechanism-based modeling of long term degradation (K. Reifsnider; D.A. Dillard; A.H. Cardon, eds.), Proceedings of the Third International Conference on Progress in Durability Analysis of Composite Systems, DURACOSYS 97, Blacksburg, USA, Balkema, 1998

[6] A. Schieffer; J.F. Maire; D. Leveque A coupled analysis of mechanical behaviour and ageing for polymer-matrix composites, Composites Science and Technology, Volume 62 (2002), pp. 543-549

[7] G.P. Tandon; K.V. Pochiraju; G.A. Schoeppner Modeling of oxidative development in PMR-15 resin, Polymer Degradation and Stability, Volume 91 (2006), pp. 1861-1869

[8] T.K. Tsotsis; S. Keller; J. Bardis; J. Bish Preliminary evaluation of the use of elevated pressure to accelerate thermo-oxydative aging in composites, Polymer Degradation and Stability, Volume 64 (1999), pp. 207-212

[9] L. Olivier, Prévision du vieillissement thermo-oxydant de composites à matrice organique dediés à l'aéronautique: Prise en compte des couplages multiphysiques, PhD thesis, University of Poitiers, October 2008

[10] L. Olivier; N.Q. Ho; J.C. Grandidier; M.C. Lafarie-Frenot Characterisation by ultra-micro indentation of an oxidized epoxy polymer: Correlation with the predictions of a kinetic model of oxidation, Polymer Degradation and Stability, Volume 93 (2008), pp. 489-497

[11] L. Olivier, N.Q. Ho, J.C. Grandidier, M.C. Lafarie-Frenot, Oxidation of a carbon/epoxy composite: Numerical simulation of induced stresses, in: Journées Nationales des Composites JNC15, Marseille, Septembre 2007

[12] L. Olivier; C. Baudet; D. Bertheau; J.C. Grandidier; M.C. Lafarie-Frenot Development of experimental, theoretical and numerical tools for studying thermo-oxidation of CFRP composites, Composites, Part A: Applied Science and Manufacturing, Volume 40 (2009), pp. 1008-1016

[13] M. Gigliotti, L. Olivier, D.Q. Vu, J.C. Grandidier, M.C. Lafarie-Frenot, Local shrinkage and stress induced by thermo-oxidation in composite materials at high temperatures, 2009

[14] F. Larché; J.W. Cahn A linear theory of thermochemical equilibrium of solids under stress, Acta Metallurgica, Volume 21 (1973), pp. 1051-1063

[15] F. Larché; J.W. Cahn A nonlinear theory of thermochemical equilibrium of solids under stress, Acta Metallurgica, Volume 26 (1978), pp. 53-60

[16] J.W. Gibbs On the equilibrium of heterogeneous substances, The Scientific Papers of W.J. Gibbs, vol. 1, Dover, 1906, pp. 55-349

[17] C. Truesdell Rational Thermodynamics, Springer, New York, 1984

[18] S.R. Lustig; J.M. Caruthers; N.A. Peppas Continuum thermodynamics and transport properties for polymer–fluid mixtures, Chemical Engineering Science, Volume 47 (1992), pp. 3037-3057

[19] Y. Weitsman Stress assisted diffusion in elastic and viscoelastic materials, Journal of the Mechanics and Physics of Solids, Volume 35 (1987), pp. 73-93

[20] R.G. Carbonell; G.C. Sarti Coupled deformation and mass-transport processes in solid polymers, Ind. Eng. Chem. Res., Volume 29 (1990), pp. 1194-1204

[21] G. Rambert; J.C. Grandidier An approach to the coupled behaviour of polymers subjected to a thermo-mechanical loading in a gaseous environment, European Journal of Mechanics A/Solids, Volume 24 (2005), pp. 151-168

[22] G. Rambert; G. Jugla; J.C. Grandidier; L. Cangemi A modelling of the direct couplings between heat transfer, mass transport, chemical reactions and mechanical behaviour. Numerical implementation to explosive decompression, Composites, Part A: Applied Science and Manufacturing, Volume 37 (2006), pp. 571-584

[23] C. Valançon; A. Roy; J.C. Grandider Modelling of coupling between mechanics and water diffusion in bonded assemblies, Oïl & Gas Science and Technology, Volume 61 (2006), pp. 759-764

[24] S.R. De Groot Thermodynamics of Irreversible Processes, Interscience, New York, 1951

[25] I. Prigogine; D. Kondepudi Thermodynamique, Editions Odile Jacobs, 1999

[26] N. Rabearison; C. Jochum; J.C. Grandidier A FEM coupling model for properties prediction during the curing of an epoxy matrix, Computational Materials Science, Volume 45 (2009), pp. 715-724

[27] X. Colin; L. Audouin; J. Verdu Determination of thermal oxidation rate constants by an inverse method: Application to polyethylene, Polymer Degradation and Stability, Volume 86 (2004), pp. 309-321

[28] J.P. Pascault; H. Sautereau; J. Verdu; R.J.J. Williams Thermosetting Polymers, Marcel Dekker, 2002

[29] P. Germain; Q.S. Nguyen; P. Suquet Continuum thermodynamics, Journal of Applied Mechanics, Volume 50 (1983), pp. 1010-1020

[30] H.B.G. Casimir On Onsager's principle of microscopic reversibility, Reviews of Modern Physics, Volume 17 (1945), pp. 343-350

[31] G.A. Maugin The Thermomechanics of Nonlinear Irreversible Behaviors, World Scientific, 1999

[32] J.W. Strutt (Lord Rayleigh) Theory of Sound, Dover, New York, 1945

[33] G. Lebon; D. Jou; J. Casas-Vasquez Understanding Non-Equilibrium Thermodynamics, Springer-Verlag, Berlin, 2008

[34] A.A. Popov; B.E. Krisyuk; N.N. Blinov; G.E. Zaikov On the effect of stress on oxidative destruction of polymers. The action of ozone on polyolefines, European Polymer Journal, Volume 17 (1981), pp. 169-173

[35] A.A. Popov; N.N. Blinov; B.E. Krisyuk; G.E. Zaikov Oxidative destruction of polymers under mechanical load, European Polymer Journal, Volume 18 (1982), pp. 413-420

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