Stress intensity factor for cracks problems in an elastic half plane using singular integral equations
Single and multiple cracks in two dimensional half plane isotropic elastic solid are considered. The cracks are subjected to uniaxial tension s¥ x = p with free traction on the boundary. These problems are formulated into a system of singular integral equations (SIEs) with the distribution dislo...
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| 格式: | Thesis |
| 语言: | English |
| 出版: |
2018
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| 主题: | |
| 在线阅读: | http://psasir.upm.edu.my/id/eprint/83554/1/FS%202018%2098%20-%20ir.pdf |
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| 总结: | Single and multiple cracks in two dimensional half plane isotropic elastic solid are considered.
The cracks are subjected to uniaxial tension s¥
x = p with free traction on the
boundary. These problems are formulated into a system of singular integral equations
(SIEs) with the distribution dislocation functions as unknown by using the modified
complex potential. In solving the obtained SIEs, the cracks configurations are mapped
into a straight line on a real axis by using the curved length coordinate method. By
applying the appropriate quadrature formulas with the appropriate collocation points
the SIEs are reduced to the system of algebraic linear equations with M unknown coefficients.
These M unknowns coefficients are solved using the Gauss-Jordan elimination
method. The obtained unknown coefficients will later be used in evaluating the stress
intensity factor. The stress intensity factor at the tips of single and multiple cracks are
obtained for various crack configurations and positions. Numerical results showed that
the stress intensity factor influenced by the distance between the cracks, the crack configuration,
and the distance between the cracks and the boundary of the half plane. For
the test problems, our results are in good agreements with the existence results. |
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