Closed form solution of stress intensity factors for cracks emanating from surface semi-spherical cavity in finite body with energy release rate method  

作　　者：Hualiang WAN Qizhi WANG Xing ZHANG 

机构地区：[1]Institute of Solid Mechanics, Beihang University, Beijing 100191, China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2016年第12期1689-1706,共18页应用数学和力学（英文版）

摘　　要：In this paper, a new semi-analytical and semi-engineering method of the closed form solution of stress intensity factors （SIFs） of cracks emanating from a surface semi-spherical cavity in a finite body is derived using the energy release rate theory. A mode of crack opening displacements of a normal slice is established, and the normal slice relevant functions are introduced. The proposed method is both effective and accurate for the problem of three-dimensional cracks emanating from a surface cavity. A series of useful results of SIFs are obtained.In this paper, a new semi-analytical and semi-engineering method of the closed form solution of stress intensity factors （SIFs） of cracks emanating from a surface semi-spherical cavity in a finite body is derived using the energy release rate theory. A mode of crack opening displacements of a normal slice is established, and the normal slice relevant functions are introduced. The proposed method is both effective and accurate for the problem of three-dimensional cracks emanating from a surface cavity. A series of useful results of SIFs are obtained.

关 键 词：stress intensity factor （SIF） closed form solution surface cavity three-dimensional crack normal slice 

分 类 号：O346.1[理学—固体力学]