The scaled boundary finite-element method is extended to analyze the in-plane singular stress fields at cracks and multi-material corners. A complete singular stress field is represented semi-analytically as a series of matrix power functions of the radial coordinate originating from the singular po
Stress singularities at crack corners
โ Scribed by L. Xu; T. Kundu
- Publisher
- Springer Netherlands
- Year
- 1995
- Tongue
- English
- Weight
- 488 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0374-3535
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โฆ Synopsis
In this paper the stress and displacement fields near an embedded crack comer in a linear elastic medium are analytically computed. The conical-spherical coordinate system is introduced to solve this problem. It is observed that the strength of the stress singularity depends on the angle of the crack comer. The singularity becomes weaker, varying from r-' to r ยฐ, as the angle of the crack comer varies from 360 ยฐ to 0 ยฐ. Both symmetric and skew-symmetric loadings give the same variation of the behavior of the stress singularity. It is also found that the order of the singularity is independent of the Poisson's ratio, unlike the comer cracks at a free surface where Poisson's ratio affects the results.
๐ SIMILAR VOLUMES
The three!dimensional stress singularity at the top of an arbitrary polyhedral corner is considered[ Based on the boundary integral equations\ the problem is reduced by the Mellin transform to a system of certain one!dimensional integral equations[ The orders of stress singularity are spectral point