An integral-equation representation of cracks is presented which differs from the well-known "dislocationlayer" representation in that the equations are written in terms of the displacement-discontinuity across the crack surfaces rather than derivatives of the displacement-discontinuity. The advanta
On singular integral equations for kinked cracks
โ Scribed by Solveig Melin
- Publisher
- Springer Netherlands
- Year
- 1986
- Tongue
- English
- Weight
- 400 KB
- Volume
- 30
- Category
- Article
- ISSN
- 1573-2673
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โฆ Synopsis
Chebyshev polynomial techniques for solution of singular integral equations leading to square root singularities at the ends of the interval of integration are studied. It is shown that the results are less accurate when a singularity, albeit a weak one, appears between the interval ends. Typical examples are problems involving kinked cracks. Some attempts to improve the accuracy are discussed.
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