1. A numerical solution technique of hypersingular integral equation for curved cracks.
- Author
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Chen, Y. Z.
- Subjects
- *
INTEGRAL equations , *NUMERICAL analysis , *STRAINS & stresses (Mechanics) , *ELASTICITY , *CURVES - Abstract
In this paper, a hypersingular integral equation for curved cracks in plane elasticity is formulated and presented. This paper describes a new numerical technique for solution of deep curved cracks in plane elasticity. In this method, the crack curve length is taken as the co-ordinate in the hypersingular integral equation of the curved crack problems. The curved crack configuration maps on the real axis with interval (-a,a), where ‘2a’ is the arc length of the crack. The original hypersingular integral equation is converted into other hypersingular integral equation which is formulated on the curve length co-ordinate, or on (-a,a). The hypersingular integral equation is solved numerically. Numerical examples prove that higher efficiency has been achieved in the suggested method. Copyright © 2003 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]
- Published
- 2003
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