Constitutive approach to rate-independent properties of filled elastomers (Q1287206)

We present a constitutive approach to the title problem, which can be motivated by investigations on molecular level. This phenomenological description is composed of an elastic model -- idealized as an elastic spring -- and elastoplastic Prandtl-elements in parallel. The formulation is derived for small and finite strains. The large strain case is based on a multiplicative decomposition of the deformation gradient. Experimental results and numerical simulations are presented utilizing a mixed finite element formulation to give a robust algorithm and reliable results.