Thermoelastic contact problem for plate with a crack along a circular arc
type: Item
instance of: scholarly article
zbMATH Open document ID: 1054.74688
author: Victor Opanasovych
publication date: 2001-12-12T00:00:00Z
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74G70
zbMATH DE Number: 1681838
zbMATH Keywords: elastic plate
zbMATH Keywords: contact
zbMATH Keywords: arc-shaped crack
zbMATH Keywords: thermoelasticity
zbMATH Keywords: Kolosoff-Muskhelishvili formulae
zbMATH Keywords: exact solution
MaRDI profile type: Publication
title: Thermoelastic contact problem for plate with a crack along a circular arc
published in: Visnyk L'vivs'kogo Universytetu. Seriya Mekhaniko-Matematychna
review text: Stationary thermoelastic state of isotropic plate with insulated faces is considered. The plate contains an arc-shaped crack and is under uniform tension at infinity. Constant thermal flux at infinity is known. Crack sides are insulated and they contact without friction. The problem is solved in polar coordinates with center at the arc center. First, the heat conduction problem is solved exactly. Solution of the problem of uncoupled thermoelasticity is solved by the method of Kolosoff-Muskhelishvili. An exact analytic solution of the problem is found, formula for stress concentration factor is derived.
description: scientific article; zbMATH DE number 1681838