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Asymptotic Analysis of a Problem for Dynamic Thermoelastic Shells in Normal Damped Response Contact

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RodriguezAros_2021_shell_thermoelasticity_elliptic_RNA_RUC.pdf - Preprint láminas termoelásticas en contacto (563.0Kb)
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http://hdl.handle.net/2183/27198
Atribución-NoComercial-SinDerivadas 3.0 España
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Title
Asymptotic Analysis of a Problem for Dynamic Thermoelastic Shells in Normal Damped Response Contact
Author(s)
Cao Rial, María Teresa
Castiñeira, Gonzalo
Rodríguez-Arós, Ángel
Roscani, Sabrina
Date
2021
Abstract
[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.
 
Keywords
Thermodynamics
Asymptotic Analysis
Shells
Membrane
Contac
Análisis asintótico
Láminas
Termoelasticidad
Contacto
 
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Atribución-NoComercial-SinDerivadas 3.0 España

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