Variational formulation of non-stationary thermoelasticity problem for thin shells compliant to shears and compression
type: Item
instance of: scholarly article
zbMATH Open document ID: 1349.74105
author: P. P. Vahin
author: R. B. Malets
author: H. A. Shynkarenko
publication date: 2016-05-23T00:00:00Z
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74G50
Mathematics Subject Classification ID: 74K25
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 6584033
zbMATH Keywords: variational thermoelasticity problem
zbMATH Keywords: semi-discretization of problem
zbMATH Keywords: correctness conditions for variational problem
MaRDI profile type: Publication
full work available at URL: s10958-016-2977-9
OpenAlex ID: W2467766682
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DOI: 10.1007/S10958-016-2977-9
title: Variational formulation of non-stationary thermoelasticity problem for thin shells compliant to shears and compression
published in: Matematychni Metody ta Fizyko-Mekhanichni Polya
review text: In terms of a classical variational thermoelasticity problem for three-dimensional bodies of small thickness, the authors formulate a corresponding variational non-stationary thermoelasticity problem for shells compliant to shears and compression. The dimension of the initial problem is reduced due to the Galerkin semi-discretization and Timoshenko-Mindlin hypotheses on the linearity of displacement and temperature variations with respect to the shell thickness. The problem is stated in terms of vector of elastic displacements and rotations of the normal, temperature and its gradient defined on the shell median surface. The case of a quasi-static problem for which the correctness conditions are established is analyzed in detail. The results of finite element analysis are presented for the thermoelasticity problem of a steel plate under thermal and force loadings.
description: scientific article; zbMATH DE number 6584033