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A quasi-static Signorini contact problem for a thermoviscoelastic beam

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Abstract

This paper is concerned with the existence, uniqueness and numerical solution of a system of equations modelling the evolution of a quasi-static thermoviscoelastic beam that may be in contact with two rigid obstacles. A finite element approximation is proposed and analysed and some numerical results are given.

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Authors and Affiliations

  1. Departamento de Matemática, Laboratório de Análise Numérica e Astrofísica, Universidade Federal de Santa Maria, Santa Maria, RS, 97105-900, Brazil

    M. I. M. Copetti

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  1. M. I. M. Copetti
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Correspondence to M. I. M. Copetti.

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Work partially supported by the Brazilian institution CNPq.

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Copetti, M.I.M. A quasi-static Signorini contact problem for a thermoviscoelastic beam. Numer. Math. 110, 27–47 (2008). https://doi.org/10.1007/s00211-008-0158-6

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  • DOI: https://doi.org/10.1007/s00211-008-0158-6

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