Penny-shaped cracks |
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| Authors: | J T Guidera R W Lardner |
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| Institution: | 1. Department of Mathematics, Simon Fraser University, Burnaby, BC, Canada
2. School of Mathematics and Physics, University of East Anglia, Norwich, England
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| Abstract: | The Somigliana formula is used to reduce an arbitrary elastic crack problem to a system of three integral equations for the components of displacement discontinuity. For the case of a penny shaped crack situated in an infinite isotropic medium with the crack faces subjected to arbitrary tractions, the integral equations are solved explicitly. In particular integral formulae are obtained for the stresses on the plane of the crack beyond the crack-tip, and hence for the stress intensity factors. The special case of uni-directional shear traction on the crack is examined. |
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