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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 5093404, 10 pages
https://doi.org/10.1155/2017/5093404
Research Article

Thermoelastic Analysis for Two Collinear Cracks in an Orthotropic Solid Disturbed by Antisymmetrical Linear Heat Flow

1Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing, Jiangsu 210098, China
2Jiangsu Research Center of Geotechnical Engineering Technology, Hohai University, Nanjing, Jiangsu 210098, China
3Department of Mechanical and Aerospace Engineering, Monash University, Clayton, VIC 3800, Australia

Correspondence should be addressed to Jun-gao Zhu

Received 2 May 2017; Revised 19 July 2017; Accepted 31 July 2017; Published 19 November 2017

Academic Editor: Nunzio Salerno

Copyright © 2017 Bing Wu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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 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 .