Self-Consistent Approach in Elasto-viscoplasticity of Heterogeneous Materials

Elmahdi Boulhafa; Redouane Kouddane; Hamza Ouadfel

doi:10.15866/ireme.v12i10.15586

Self-Consistent Approach in Elasto-viscoplasticity of Heterogeneous Materials

Elmahdi Boulhafa^(1*), Redouane Kouddane⁽²⁾, Hamza Ouadfel⁽³⁾

^(*) Corresponding author

Authors' affiliations

DOI: https://doi.org/10.15866/ireme.v12i10.15586

Abstract

The objective of this work is to describe the Elasto-viscoplastic behavior of heterogeneous polycrystalline materials by a simple and operational self-consistent approach. This approach is based on the solution of the viscoelastic inclusion problem that has been confirmed by Hashin’s results. In this paper, the case of polycristal, whose behavior contains, locally, a nonlinear viscous part, is studied. The linearization of this behavior is done through tangent tensor. As an initial step, the 1-site solution is studied. In order to study an isotropy induced by some topological effects, an extension to the N-site solution is performed. Finally, some results of the model are presented. In order to test the capability of the present model to reproduce certain phenomena observed experimentally, cyclic loadings results are also presented.
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Keywords

Viscoelastic; Inclusion; Self-consistent; 1-Site; N-Site; Interaction Tensor

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