Cao Rial, María TeresaCastiñeira, GonzaloRodríguez-Arós, ÁngelRoscani, Sabrina2021-01-202021-01-202021http://hdl.handle.net/2183/27198[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. We then 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.[Resumo] En termoelasticidade, dado un problema de contacto entre una lámina tipo membrana elíptica e un obstáculo, estudamos a existencia de problema bidimensional límite cando o espesor tende a cero. Preséntase un teorema de converxencia para xustificar a bondade da aproximación.engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ThermodynamicsAsymptotic analysisShellsMembraneContacAnálisis asintóticoLáminasTermoelasticidadContactopreprintopen access