Finite element implementation of a microstructure-based model for filled elastomers

To describe the inelastic mechanical behavior of filled elastomers a microstructure-based material model for uniaxial loadings has been developed. The generalization of this one-dimensional material description to a fully three-dimensional constitutive model has been accomplished by using the concept of representative directions. The generalized model shows a very good agreement with cyclic uniaxial tension and compression tests as well as simple shear measurements for several rubber compounds. The FE-implementation enables finite element simulations of technical components though the original input model predicts the material behavior for uniaxial loadings only.