## 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
Solution of a hypersingular integral equation in two disjoint intervals
β Scribed by Barnali Dutta; Sudeshna Banerjea
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 329 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
A hypersingular integral equation in two disjoint intervals is solved by using the solution of Cauchy type singular integral equation in disjoint intervals. Also a direct function theoretic method is used to determine the solution of the same hypersingular integral equation in two disjoint intervals. Solutions by both the methods are in good agreement with each other.
π SIMILAR VOLUMES
Ahatraet-The plane elastic problem for a curved crack problem is studied by means of the hypersingular integral equation approach. Based on the solution of a doublet of dislocation, the hypersingular integral equation for the curved crack problem is formulated. The unknown function invalved is the c
In this paper we prove the existence of integrable solutions of a generalized functionalintegral equation, which includes many key integral and functional equations that arise in nonlinear analysis and its applications. This is achieved by means of an improvement of a Krasnosel'skii type fixed point