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Mean stress dependent non linear hyperelasticity coupled with damage stiffness degradation. A thermodynamical approach

Solenn Le Pense 1
1 cermes - Géotechnique
navier umr 8205 - Laboratoire Navier
Abstract : Porous materials, such as geomaterials, exhibit a behaviour dependent on the confining pressure. The aim of this paper is to study the degradation of the elastic stiffness of mean stress dependent materials, due to the deterioration of the microstructure during loading. Continuum damage mechanics offers a framework to model this rigidity deterioration. In addition to the concept of effective stress, a choice has to be made between two widely used hypotheses, the principle of strain equivalence and the principle of equivalent elastic energy, in order to build a complete modelling framework. A mean stress dependent hyperelastic formulation is used to ensure a conservative behaviour, and associated to the two previous damage modelling assumptions, whose effects are compared. This allows for mean stress dependent elasticity to be reproduced, with elastic moduli increasing with mean stress while decreasing with damage.
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Dernière modification le : vendredi 17 juillet 2020 - 17:09:07
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Solenn Le Pense. Mean stress dependent non linear hyperelasticity coupled with damage stiffness degradation. A thermodynamical approach. Mechanics Research Communications, Elsevier, 2014, 60, pp.85-89. ⟨10.1016/j.mechrescom.2014.06.007⟩. ⟨hal-01026475⟩

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