Numerical approximation of dynamic deformations of a thermoviscoelastic rod against an elastic obstacle
Laboratório de Análise Numérica e Astrofísica, Departamento de Matemática, Universidade Federal de Santa Maria, 97119-900 Santa Maria, RS, Brazil. email@example.com.
Revised: 2 March 2004
Revised: 18 May 2004
In this paper we consider a hyperbolic-parabolic problem that models the longitudinal deformations of a thermoviscoelastic rod supported unilaterally by an elastic obstacle. The existence and uniqueness of a strong solution is shown. A finite element approximation is proposed and its convergence is proved. Numerical experiments are reported.
Mathematics Subject Classification: 65N30
Key words: Thermoviscoelasticity / dynamic contact problem / finite element approximation / numerical simulations.
© EDP Sciences, SMAI, 2004