Abstract
The Dugdale hypothesis is adapted to the problem of a penny-shaped crack contained in a thick transversely isotropic plate. The problem is solved using the techniques of Hankel transform. Exact expressions for the finite-stress condition and the crack shape function are obtained and calculated numerically for both composite materials and metallic substances. The normal stress is shown to be continuous at the value of the material yield stress along the outer circle of the inelastic zone. The example materials give both real and complex characteristic roots. The effects that the material anisotropy has on the inelastic zone size, the crack shape, and the crack opening displacement are clearly revealed in the numerical results presented. The effects of material anisotropy for the composites are compared to those for the metallic substances.
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