Analysis of a contact problem in thermoviscoelasticity under the Green-Lindsay model

作者：Copetti M I M^*; Aouadi M

来源：Applied Numerical Mathematics, 2015, 91: 60-74.

DOI：10.1016/j.apnum.2014.12.011

• Generalized thermoelasticity
• Green-Lindsay theory
• Contact problem
• Finite element method
• Energy decay
• Error bound

In this article, we consider a one-dimensional contact problem in generalized thermoviscoelasticity based on the Green-Lindsay theory. We prove that the energy associated to the system decays exponentially to zero and we analyze a finite element approximation. It is shown that if the continuous solution is sufficiently smooth then the error in the L-2-norm is order of h + Delta t. Furthermore, we demonstrate that the discrete energy decays as the time increases.

• 出版日期2015-5