A Numerical Integration Formula for the Solution of the Singular Integral Equation for Classical Crack Problems in Plane and Antiplane Elasticity
A numerical integration formula for the solution of the singular integral equation for classical crack problems in plane and antiplane elasticity is developed. The method is based on a modification of the Gauss-Chebyshev quadrature and the derivation of a finite part integral having an algebraic sin...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
1991-01-01
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| Series: | Journal of King Saud University: Engineering Sciences |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1018363918305476 |
| Summary: | A numerical integration formula for the solution of the singular integral equation for classical crack problems in plane and antiplane elasticity is developed. The method is based on a modification of the Gauss-Chebyshev quadrature and the derivation of a finite part integral having an algebraic singularity of (3/2) at the limits of integration. The procedure is applied to determine the finite part integrals which have analytical solutions and the results are compared. Finally, the integration formula is applied to an actual crack problem and the stress intensity factors are computed and presented. |
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| ISSN: | 1018-3639 |