Cao Rial, María TeresaCastiñeira, GonzaloRodríguez-Arós, ÁngelRoscani, Sabrina2021-10-252021-10-252021-12Cao-Rial, M.T., G. Castiñeira, Á. Rodríguez-Arós, S. Roscani. "Mathematical and asymptotic analysis of thermoelastic shells in normal damped response contact". Communications in Nonlinear Science and Numerical Simulation 103 (December 2021): 105995. https://doi.org/10.1016/j.cnsns.2021.1059951007-5704http://hdl.handle.net/2183/28716Financiado para publicación en acceso aberto: Universidade da Coruña/CISUG[Abstract] 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 Duhamel-Neumann 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.engAtribución-NoComercial-SinDerivadas 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/ThermoelastodynamicsAsymptotic analysisShellsMembraneContactjournal articleopen access