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Numerical Analysis of a Frictional Contact Problem for Viscoelastic Materials with Long-Term Memory

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • A. Rodríguez-Arós

    (Universidade de Santiago de Compostela, Avda. Lope Gómez de Marzoa S/N, Facultade de Matemáticas, Departamento de Matemática Aplicada)

  • M. Sofonea

    (Université de Perpignan, Laboratoire de Mathématiques et Physique pour les Systèmes)

  • J. Viaño

    (Universidade de Santiago de Compostela, Avda. Lope Gómez de Marzoa S/N, Facultade de Matemáticas, Departamento de Matemática Aplicada)

Abstract

We consider a mathematical model which describes the frictional contact between a viscoelastic body and an obstacle, the so-called foundation. The process is quasistatic and the behavior of the material is modeled with a constitutive law with memory. The contact is bilateral and the friction is modeled with Tresca’s law. The existence of a unique weak solution to the model was proved in [15]. Here we describe a fully discrete scheme for the problem, implement it in a computer code and provide numerical results in the study of a two-dimensional test problem.

Suggested Citation

  • A. Rodríguez-Arós & M. Sofonea & J. Viaño, 2006. "Numerical Analysis of a Frictional Contact Problem for Viscoelastic Materials with Long-Term Memory," Springer Books, in: Alfredo Bermúdez de Castro & Dolores Gómez & Peregrina Quintela & Pilar Salgado (ed.), Numerical Mathematics and Advanced Applications, pages 1099-1107, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-34288-5_110
    DOI: 10.1007/978-3-540-34288-5_110
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