Numerical analysis of a contact problem for elastic-visco-plastic materials with damage

O. Chau, J. R. Fernández, W. Han and M. Sofonea
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O. Chau: Université de Perpignan, Laboratoire de Théorie des Systèmes
J. R. Fernández: Universidade de Santiago de Compostela, Departamento de Matemática Aplicada
W. Han: University of Iowa, Department of Mathematics
M. Sofonea: Université de Perpignan, Laboratoire de Théorie des Systèmes

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 337-346 from Springer

Abstract: Summary We study a quasistatic frictionless viscoplastic contact problem with normal compliance and damage for elastic-visco-plastic bodies. The mechanical damage of the material, caused by excessive stress or strain, is described by a damage function whose evolution is modelled by a parabolic inclusion. We provide a variational formulation for the mechanical problem that has a unique solution. We then study a fully discrete scheme for the numerical solution of the problem and derive error estimates for the approximate solutions. Finally, we present some numerical results.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_31

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DOI: 10.1007/978-88-470-2089-4_31

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