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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2025-2pp.973-988

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Qingqing Shen, Lvlin Xiang, Qiyun Wang, Jiajun Zeng, Wei Yi, Dianyi Huang, and Jinshan Lei, "A Semi-Analytic Method for Computing Cross-Crack Stress Intensity Factor in Finite Plate under Thermal-Mechanical Coupling," Mech. Solids. 60 (2), 973-988 (2025)
Year 2025 Volume 60 Number 2 Pages 973-988
DOI 10.1134/S002565442460572X
Title A Semi-Analytic Method for Computing Cross-Crack Stress Intensity Factor in Finite Plate under Thermal-Mechanical Coupling
Author(s) Qingqing Shen (Hunan Institute of Technology, Hengyang, 421002 China)
Lvlin Xiang (Hunan Institute of Technology, Hengyang, 421002 China, lvlin2008.cool@163.com)
Qiyun Wang (Hunan Institute of Technology, Hengyang, 421002 China)
Jiajun Zeng (Hunan Institute of Technology, Hengyang, 421002 China)
Wei Yi (Central South University, Changsha, 410075 China, yi.wei@csu.edu.cn)
Dianyi Huang (Central South University, Changsha, 410075 China)
Jinshan Lei (Hunan Tieyuan Civil Engineering Testing Co., Ltd, Changsha, 410075 China)
Abstract Currently, most of the available methods are focused on the SIF calculation of single cross-crack under single stress loading, without consideration of the thermal-mechanical coupling loadings. To capture the true coupling impact of the temperature and stress fields, based on the Williams expansion and semi-weight function method, a semi-analytic method is presented to calculate the thermal-mechanical coupling cross-crack SIF under arbitrary boundary conditions. The existing results are used to validate the method and several examples are given to analyze the influence of crack length, temperature and boundary on the cross-crack SIF under thermal-mechanical coupling. Results show that when L/a (the ratio of the rectangle length to the crack half-length) and H/a (the ratio of the rectangle width to the crack half-length) increase, Mode I fracture is more likely to occur. The increase of plate size only changes the SIFs, but not the stress distribution of coupling field. The effect of circular boundary on crack tip stress field is greater than that of rectangular boundary.
Keywords cross-crack, thermal-mechanical coupling, stress intensity factor, semi-weight function method
Received 12 October 2024Revised 14 February 2025Accepted 15 February 2025
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