Existence of solutions for a dynamic Signorini's contact problem |
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Authors: | María Teresa Cao Peregrina Quintela |
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Institution: | Departamento de Matemática Aplicada, Facultade de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela 15782, Spain |
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Abstract: | The purpose of this work is to present an existence result for the dynamic frictionless contact problem between an elastic body and a rigid foundation. The proof is based on five fundamental steps: a discretization in time which leads to a discretized problem with unique solution; the construction of functions approximating a solution of the problem; the treatment of the contact condition by means of a Lagrange multiplier whose orthogonality properties allow us to get a priori estimates; the convergence of said functions and, finally, the pass to the limit obtaining a weak solution of the continuous problem. To cite this article: M.T. Cao, P. Quintela, C. R. Acad. Sci. Paris, Ser. I 343 (2006). |
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