The hypersingular integral equation approach is suggested to solve the plane elasticity crack problem with circular boundary. The complex variable function method is used in the formulation. In the equation the crack opening displacement function is used as the unknown function, and the traction on
Hypersingular integral equation for multiple curved cracks problem in plane elasticity
β Scribed by N.M.A. Nik Long; Z.K. Eshkuvatov
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 921 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0020-7683
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β¦ Synopsis
The complex variable function method is used to formulate the multiple curved crack problems into hypersingular integral equations. These hypersingular integral equations are solved numerically for the unknown function, which are later used to find the stress intensity factor, SIF, for the problem considered. Numerical examples for double circular arc cracks are presented.
π SIMILAR VOLUMES
The Mangler-type principal value integrals play an important role in the formulation and solution of the related hypersingular integral equations for crack problems in plane elasticity. Here we consider the classical, fundamental definition of this class of integrals, the most important of their pr
## 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 coβordinate i
An antiplane multiple crack problem is considered for inhomogeneous isotropic elastic materials. The problem is reduced to a boundary integral equation involving hypersingular integrals. The boundary integral equation may be solved numerically using standard procedures. Some crack problems for a par