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

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • 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)

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.

Suggested Citation

  • O. Chau & J. R. Fernández & W. Han & M. Sofonea, 2003. "Numerical analysis of a contact problem for elastic-visco-plastic materials with damage," Springer Books, in: Franco Brezzi & Annalisa Buffa & Stefania Corsaro & Almerico Murli (ed.), Numerical Mathematics and Advanced Applications, pages 337-346, Springer.
    • Handle: RePEc:spr:sprchp:978-88-470-2089-4_31
    DOI: 10.1007/978-88-470-2089-4_31
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