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

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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.

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Authors and Affiliations

  1. Institute of Solid Mechanics, Beihang University, Beijing, 100191, China

    Hualiang Wan, Qizhi Wang & Xing Zhang

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  1. Hualiang Wan
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  2. Qizhi Wang
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  3. Xing Zhang
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Correspondence to Qizhi Wang.

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Wan, H., Wang, Q. & Zhang, X. Closed form solution of stress intensity factors for cracks emanating from surface semi-spherical cavity in finite body with energy release rate method. Appl. Math. Mech.-Engl. Ed. 37, 1689–1706 (2016). https://doi.org/10.1007/s10483-016-2148-8

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  • DOI: https://doi.org/10.1007/s10483-016-2148-8

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Chinese Library Classification

2010 Mathematics Subject Classification

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