The Effects of Thermal, Plastic and Elastic Stress Concentrations on the Overall Behavior of Metal Matrix Composites
This study deals with the modelling of the inelastic thermomechanical behavior of Metal Matrix Composites considered as microinhomogeneous and macrohomogeneous materials. The theory is developed within the framework of the classical thermoelastoplasticity without damage. At first, the local constitutive equation is recalled. Introducing stress and (or) strain concentration tensors for mechanical and thermal fields, the behavior of the equivalent homogeneous medium is deduced in a compact form. In order to determine these concentration tensors, both for the reinforcements and the grains of the polycrystalline matrix, a general integral equation is proposed. Some various approximation methods for solving such an equation are listed.
The self-consistent approach is developed for a granular medium in order to determine the thermoelastic (linear) as well as the thermoelastoplastic behavior.
Results concerning monotonic loading are presented. A special attention is given to residual stresses. For complex loading pathes (biaxial loading), initial and subsequent yield surfaces are shown.
KeywordsMetal Matrix Composite Equivalent Inclusion Concentration Tensor Localisation Tensor Shear Stress Rate
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