Document Type thesis Author Name Onofrei, Daniel T URN etd-0430103-121632 Title Homogenization of an elastic-plastic problem. Degree MS Department Mathematical Sciences Advisors Bill Farr, Reader Bogdan Vernescu, Advisor Keywords homogenization calculus of variations Date of Presentation/Defense 2003-04-30 Availability unrestricted Abstract
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.
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