info:eu-repo/semantics/article
Mathematical and asymptotic analysis of thermoelastic shells in normal damped response contact
Fecha
2021-12Registro en:
Cao Rial, M. T.; Castiñeira, G.; Rodríguez Arós, Á.; Roscani, Sabrina Dina; Mathematical and asymptotic analysis of thermoelastic shells in normal damped response contact; Elsevier Science; Communications In Nonlinear Science And Numerical Simulation; 103; 12-2021; 1-22
1007-5704
CONICET Digital
CONICET
Autor
Cao Rial, M. T.
Castiñeira, G.
Rodríguez Arós, Á.
Roscani, Sabrina Dina
Resumen
The purpose of this paper is twofold. We first provide the mathematical analysis of a dynamic contact problem in thermoelasticity, when the contact is governed by a normal damped response function and the constitutive thermoelastic law is given by the DuhamelNeumann relation. Under suitable hypotheses on data and using a Faedo-Galerkin strategy, we show the existence and uniqueness of solution for this problem. Then, we study the particular case when the deformable body is, in fact, a shell and use asymptotic analysis to study the convergence to a 2D limit problem when the thickness tends to zero.