Mathematical and Asymptotic Analysis of Thermoelastic Shells in Normal Damped Response Contact
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Mathematical and Asymptotic Analysis of Thermoelastic Shells in Normal Damped Response ContactData
2021-12Cita bibliográfica
Cao-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.2021.105995
Resumo
[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.
Palabras chave
Thermoelastodynamics
Asymptotic analysis
Shells
Membrane
Contact
Asymptotic analysis
Shells
Membrane
Contact
Descrición
Financiado para publicación en acceso aberto: Universidade da Coruña/CISUG
Versión do editor
Dereitos
Atribución-NoComercial-SinDerivadas 4.0 Internacional
ISSN
1007-5704