Sur la modélisation et la simulation du couplage thermo-chimio-mécanique au sein des élastomères chargés

Thien An Nguyen Van 1
1 M&S - Matériaux et Structures
LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
Abstract : In this prospective study, we propose a new thermo-chemo-mechanical coupled model for dissipative filled rubber. This work is based on experimental observations and results from the literature. In this context, we have developed three phenomenological constitutive laws within a generic thermodynamical framework. The models enters the category of the thermodynamics of irreversible processes. Intermediate states are taken into account in the model which is build within the generalized standard materials framework. The degree of cure is introduced as an internal variable. The evolution of this variable takes into account the thermal influence and the mechanical influence via the hydrostatic pressure. This is one of the features making this model original. A finite strain approach is considered. A finite element model is applied to the global problem. A monolithic solution scheme is built based on an implicit Euler scheme associated to a of Newton-Raphson linearization technique. This scheme takes into account the weak compressibility of the material condition through, first, a judicious choice of weak relations between unknowns, and second, an adequate choice of approximations for the unknowns of problem to enforce the stability of the numerical scheme. An object-oriented model for the constitutive equations of the thermo-chemo-mechanical model is proposed and is implemented in Java into the FEMJava code. Some simulations illustrate the high potential of these models in qualitatively reproducing these experimental observations.
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Thien An Nguyen Van. Sur la modélisation et la simulation du couplage thermo-chimio-mécanique au sein des élastomères chargés. Mécanique [physics.med-ph]. Aix-Marseille Université, 2012. Français. ⟨NNT : ED353⟩. ⟨tel-00960523⟩

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