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An interface crack in an inhomogeneous stress field

โœ Scribed by I. V. Simonov

Publisher
Springer Netherlands
Year
1990
Tongue
English
Weight
759 KB
Volume
46
Category
Article
ISSN
1573-2673

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โœฆ Synopsis

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. There is also a slow variation in the largest of moduli of the stress intensity factors with the elastic parameters. These results allow one to estimate the fracture-toughness characteristics for inhomogeneous bodies by solving problems in simplified formulations.

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