Faculty Advisor

Bill Farr

Faculty Advisor

Bogdan Vernescu

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.

Publisher

Worcester Polytechnic Institute

Degree Name

MS

Department

Mathematical Sciences

Project Type

Thesis

Date Accepted

2003-04-30

Accessibility

Unrestricted

Subjects

homogenization, calculus of variations, Calculus of variations, Eigenvalues, Elasticity, Plasticity

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