Fundamental solution of thermoelasticity of orthotropic cylindrical shells
type: Item
instance of: scholarly article
zbMATH Open document ID: 1054.74649
author: Arkadij Gol'tsev
author: V. P. Shevchenko
publication date: 2001-12-12T00:00:00Z
Mathematics Subject Classification ID: 74K25
Mathematics Subject Classification ID: 74F05
zbMATH DE Number: 1681824
zbMATH Keywords: thermoelasticity
zbMATH Keywords: shallow orthotropic shell
zbMATH Keywords: Kirchhoff-Love hypotheses
zbMATH Keywords: Fourier transform
MaRDI profile type: Publication
title: Fundamental solution of thermoelasticity of orthotropic cylindrical shells
published in: Visnyk L'vivs'kogo Universytetu. Seriya Mekhaniko-Matematychna
review text: Thin orthotropic cylindrical shell in thermal contact with environment having zero temperature is considered. The shell is heated by volume heat sources, uniformly distributed along thickness. Linear temperature distribution along the shell thickness is assumed, convective heat exchange with environment according to the Newton law occurs. Fundamental solution for an infinite cylindrical shell heated by a concentrated heat source is constructed within the framework of Kirchhoff-Love hypotheses. Solution of the governing system of partial differential equations of the eighth order for displacements is found by Fourier transform and is expressed in terms of special functions. Asymptotic behavior of displacements in the vicinity of heat source is determined. A numeric example is considered, plots of displacements are presented.
description: scientific article; zbMATH DE number 1681824