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

A. Rodríguez-Arós (), M. Sofonea () and J. Viaño ()
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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

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 1099-1107 from Springer

Abstract: 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.

Keywords: Variational Inequality; Contact Problem; Frictional Contact; Unique Weak Solution; Viscoelastic Body (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_110

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DOI: 10.1007/978-3-540-34288-5_110

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