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The inclusion problem with a crack crossing the boundary

โœ Scribed by F. Erdogan; G. D. Gupta

Publisher
Springer Netherlands
Year
1975
Tongue
English
Weight
648 KB
Volume
11
Category
Article
ISSN
1573-2673

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โœฆ Synopsis

The problem of an elastic plane containing an elastic inclusion is considered. It is assumed that both the plane and the inclusion contain a radial crack and the two cracks are collinear. The problem is formulated in terms of a system of singular integral equations. In the interesting limiting cases in which the crack tips approach the interface from either one or both sides, the dominant parts of the kernels become generalized Cauchy kernels giving rise to stress singularities of other than -ยฝ power. For these unusual cases of a crack terminating at or crossing the interface stress intensity factors are defined and some detailed results are given for various crack-inclusion geometries and material combinations.

๐Ÿ“œ SIMILAR VOLUMES

The crack-inclusion interaction problem
The crack-inclusion interaction problem
โœ Liu Xue-Hui; F. Erdogan ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 736 KB

## With the application to weld defects in mind, the interaction problem between a planar crack and a flat inclusion in an elastic solid is considered. The elastic inclusion is assumed to be sufficiently thin so that the thickness distribution of the stresses in the inclusion may be neglected. The