On the thermo-elasticity problem of non-uniform plates
type: Item
instance of: scholarly article
title: On the thermo-elasticity problem of non-uniform plates
zbMATH Open document ID: 0785.73024
DOI: 10.1016/0021-8928(92)90089-Q
published in: Journal of Applied Mathematics and Mechanics
publication date: 1994-03-03T00:00:00Z
review text: The general case of the problem of the thermo-elasticity of non-uniform plates is considered. A formal asymptotic expansion is constructed and the limiting problem (when the thickness of the plate approaches zero) is obtained. The limiting problem in the general case turns out to be different from the classical one, in particular, it contains five unknown functions, and the defining equations contain not only the temperature but also its derivatives (although the material of the plate is assumed to obey the Duhamel-Neumann law). These effects do not occur in uniform plates of constant thickness.
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 500913
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: limiting problem
zbMATH Keywords: Duhamel-Neumann law
author: Alexander G. Kolpakov
MaRDI profile type: Publication
cites work: Thin elastic and periodic plates
cites work: Thermoelasticity of a regularly inhomogeneous curved layer with wavy surfaces
cites work: Q4189539
description: scientific article; zbMATH DE number 500913