Applied Mathematics and Mechanics

, Volume 37, Issue 12, pp 1689–1706

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

• Hualiang Wan
• Qizhi Wang
• Xing Zhang
Article

## Abstract

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.

## Key words

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

O346.1

74B99

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