Abstract

The objective of the work is to propose a dual visco-hypoelasticity model and a numerical procedure for the analysis of Polymeric materials subjected to large displacements and rotations. In the proposed dual approach, the Hencky’s logarithm strain measure is a function of the rotated Kirchhoff stress history in terms of a convolution equation. The material is assumed to be isotropic and the kernel functions, associated with the shear and bulk compliance moduli, are represented in Prony series. The problem is formulated within a Total Lagrangian framework and employs the Galerkin finite element method in the discretization process. Finally some numerical examples are presented in order to attest the proposed model and to verify the robustness and performance of the proposed numerical scheme.

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