期刊
JOURNAL OF THERMAL STRESSES
卷 35, 期 4, 页码 342-362出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/01495739.2012.663685
关键词
Fourier heat conduction; Fourier transforms; Hyperbolic heat conduction; Laplace transform; Singular integral equations; Transient thermal stresses
The transient thermal stresses around a crack in a thermo-elastic half-plane are obtained under a thermal shock using the hyperbolic heat conduction theory. Fourier, Laplace transforms and singular integral equations are applied to solve the temperature and thermal stress fields consecutively. The integral equations are solved numerically and the asymptotic fields around the crack tip are obtained. Numerical results show that the hyperbolic heat conduction have significant influence on the dynamic temperature and stress field. It is suggested that to design materials and structures against fracture under thermal loading, the hyperbolic model is more appropriate than the Fourier heat conduction model.
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