Research Article Thermoelastic Analysis for Two Collinear Cracks in an Orthotropic Solid Disturbed by Antisymmetrical Linear Heat Flow Bing Wu, 1,2,3 Jun-gao Zhu, 1,2 Daren Peng, 3 Rhys Jones, 3 Shi-hu Gao, 1,2 and Yang-yang Lu 1,2 1 Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing, Jiangsu 210098, China 2 Jiangsu Research Center of Geotechnical Engineering Technology, Hohai University, Nanjing, Jiangsu 210098, China 3 Department of Mechanical and Aerospace Engineering, Monash University, Clayton, VIC 3800, Australia Correspondence should be addressed to Jun-gao Zhu; 2841453079@qq.com 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. Tis 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. Te problem of two collinear cracks in an orthotropic solid under antisymmetrical linear heat fow 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 diferential equations are transformed to dual integral equations and then to singular integral equations. Te crack- tip thermoelastic felds 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 efects 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 . 1. Introduction In engineering problems, the thermoelastic analysis for a cracked material has attracted much interest [1–5]. Te thermal stress analysis for a cracked isotropic or anisotropic material has attracted much attention. A large number of related papers have been published to address fracture behaviors of isotropic and anisotropic solid. For example, the singularity of the stress felds near the crack-tip with a specifed temperature or heat fux loading is studied by Sih [6]. Te stress intensity factors of a central crack in an orthotropic material under a uniform heat fow are given by Tsai [7]. Te thermoelasticity problem of two collinear cracks embedded in an orthotropic solid has been considered by Chen and Zhang [8]. By using the -integral obtained from the fnite element solutions, the stress intensity factor has been computed by Wilson and Yu [9]. Two alternative approaches for analyzing the nonlinear interaction between two equal-length collinear cracks subjected to remote tensile stress on infnity are developed by Chang and Kotousov [10]. By using a two-dimensional dual boundary element method, the stress intensity factors of a cracked isotropic material under the transient thermoelastic loadings have been calculated by Prasad et al. [11]. Te difraction of plane temperature-step waves by a crack in an orthotropic thermoelastic solid has been investigated by Brock [12]. Te steady-state thermoelasticity problem of a cracked fber- reinforced slab under a state of generalized plane deforma- tion is studied [13]. Using the hyperbolic heat conduction theory and the dual-phase-lag heat conduction model, the transient temperature and thermal stresses around a partially insulated crack in a thermoelastic strip under a temperature impact and the transient temperature feld around a partially insulated crack in a half plane are obtained by Hu and Chen [14, 15]. Te thermal-medium crack model proposed by Zhong and Lee [16] is applied to investigate the problem of a penny-shaped crack in an infnite isotropic material [17]. Development of a unifed model for the steady-state Hindawi Mathematical Problems in Engineering Volume 2017, Article ID 5093404, 10 pages https://doi.org/10.1155/2017/5093404