Asymptotic analysis of a problem for dynamic thermoelastic shells
Analysis of PDEs
2020-12-22 v2 Mathematical Physics
math.MP
Abstract
In this paper we consider a family of three-dimensional problems in thermoelasticity for linear elliptic membrane shells and study the asymptotic behaviour of the solution when the thickness tends to zero.We fully characterize with strong convergence results the limit as the unique solution of a two-dimensional problem, where the reference domain is the common middle surface of the family of three-dimensional shells. The problems are dynamic and the constitutive thermoelastic law is given by the Duhamel-Neumann relation.
Keywords
Cite
@article{arxiv.2012.00621,
title = {Asymptotic analysis of a problem for dynamic thermoelastic shells},
author = {M. T. Cao-Rial and G. Castiñeira and Á. Rodríguez-Arós and S. Roscani},
journal= {arXiv preprint arXiv:2012.00621},
year = {2020}
}
Comments
36 pages, no figures