Thermoelastic analysis for two collinear cracks in an orthotropic solid disturbed by antisymmetrical linear heat flow
type: Item
instance of: scholarly article
title: Thermoelastic analysis for two collinear cracks in an orthotropic solid disturbed by antisymmetrical linear heat flow
zbMATH Open document ID: 1426.74123
DOI: 10.1155/2017/5093404
author: Bing Wu
author: Jun-gao Zhu
author: Daren Peng
author: Shi-hu Gao
author: Yangyang Lu
author: R. Jones
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: The problem of two collinear cracks in an orthotropic solid under antisymmetrical linear heat flow is investigated. It is assumed that there exists thermal resistance to heat conduction through the crack region. Applying the Fourier transform, the thermal coupling partial differential equations are transformed to dual integral equations and then to singular integral equations. The crack-tip thermoelastic fields including the jumps of temperature and elastic displacements on the cracks and the mode II stress intensity factors are obtained explicitly. Numerical results show the effects of the geometries of the cracks and the dimensionless thermal resistance on the temperature change and the mode II stress intensity factors. Also, FEM solutions for the stress intensity factor \(K\) are used to compare with the solutions obtained using the method. It is revealed that the friction in closed crack surface region should be considered in analyzing the stress intensity factor \(K\).
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74R10
Mathematics Subject Classification ID: 74R05
zbMATH DE Number: 6972182
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/5093404
OpenAlex ID: W2769701773
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description: scientific article; zbMATH DE number 6972182