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An interface crack in an inhomogeneous stress field

The solutions for interface cracks of shear, opening and mixed modes (problems A, B, C) are obtained in elementary functions. In case C the crack surfaces partially overlap, slipping without friction. After removing the inhomogeneous stress field specified at the infinity the crack surfaces are load...

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Bibliographic Details
Published in:International journal of fracture 1990-12, Vol.46 (3), p.223-235
Main Author: SIMONOV, I. V
Format: Article
Language:English
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Summary:The solutions for interface cracks of shear, opening and mixed modes (problems A, B, C) are obtained in elementary functions. In case C the crack surfaces partially overlap, slipping without friction. After removing the inhomogeneous stress field specified at the infinity the crack surfaces are loaded by normal and tangential stresses distributed according to a polynomial law. A detailed analysis is carried out for the solution corresponding to linear variation of these stresses. It develops that the strain-energy release rate varies slowly when going from problem C to problem A under compression-shear-bending of the piecewise-homogeneous plane, and from problem C to problem B when compression is replaced by tension. These results allow one to estimate the fracture-toughness characteristics for inhomogeneous bodies by solving problems in simplified formulations.
ISSN:0376-9429
1573-2673
DOI:10.1007/BF00017934