Asymptotic and numerical study of a surface breaking crack subject to a transient thermal loading

作     者：A.B. Movchan I.S. Jones ljmu.ac.uk 

作者机构：Department of Mathematical SciencesUniversity of Liverpoo UK L69 3BX School of EngineeringJames Parsons BuildingJohn Moores UniversityByrom St.Liverpool UK. L3 3AF E-mail: i.s.jones 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2006年第22卷第1期

页      面：22-27页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Thermo elasticity Surface breaking crack Wiener Hopf solution Weight function method 

摘      要：An asymptotic algorithm is applied to the problem of a finite, thermo-elastic solid containing a surface breaking crack, when the exterior surface is subjected to oscillatory thermal loading. This algorithm involves the study of a model problem. An analytical and numerical study of this model problem of a thermo-elastic half space containing a surface breaking crack and subjected to oscillatory thermal loading is presented. The crack surface is traction free. In particular, the amplitude of the stress intensity factor at the crack vertex is found as a function of the crack depth and the frequency of thermal oscillation.