This project presents the homogenization analysis for a static contact problem with slip dependent friction between an elastic body and a rigid foundation. The homogenization for the static eigenvalue problem associated to this model is studied. We prove that the eigenvalues are of order epsilon. We obtain the limit problem for the contact model. The analysis is carried out by using the Gamma-convergence theory.
Worcester Polytechnic Institute
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Onofrei, Daniel T., "Homogenization of an elastic-plastic problem." (2003). Masters Theses (All Theses, All Years). 547.
homogenization, calculus of variations, Calculus of variations, Eigenvalues, Elasticity, Plasticity