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| Calculation of multiple stress singularity exponents of notches by boundary element method |
| Received:August 09, 2008 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20094016 |
| KeyWord:V-notch stress singularity exponent boundary element method linear elasticity |
| Author | Institution |
| 程长征 |
合肥工业大学 土木与水利工程学院力学系,合肥 |
| 牛忠荣 |
合肥工业大学 土木与水利工程学院力学系,合肥 |
| 周焕林 |
合肥工业大学 土木与水利工程学院力学系,合肥 |
| 胡宗军 |
合肥工业大学 土木与水利工程学院力学系,合肥 |
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| Abstract: |
| A new technique about the calculation of stress singularity exponents of V-notches with boundary element method is proposed. Based on the theory of linear elasticity, the asymptotic displacement and stress field in the V-notch tip region are expressed as a series expansion with respect to the radial coordinate from the tip. The series expansion of the asymptotic field is then substituted into the boundary integral equation of the V-notched structure. After the discretization, the boundary integral equation is transformed to the eigen equation with the stress singularity orders. By solving the algebraic eigen equation, the eigenvalues which are the singularity exponents can be obtained. Hence, the use of very fine elements near the V-notch tip in the conventional boundary element method is unnecessary in present new method. The multiple singularity exponents of V-notchs can be obtained simultaneously in the present method. |
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