Abstract
The paper addresses the problem of stress distribution in an elastic transversely isotropic material containing an arbitrarily oriented spheroidal void or a penny-shaped crack under internal pressure. A solution to the problem is set up using the equivalent-inclusion method, triple Fourier transform in space variables, and the Fourier image of Green's function for infinitely anisotropic space. Some double integrals over a finite domain for the void as well as loop integrals for the crack are computed by Gaussian quadrature formulas. The results obtained in particular cases are compared with the data reported elsewhere. The effects of the void geometry, material's elastic properties, orientation of a void or a crack on the stress distribution on the void surface or on the stress intensity factor at the crack front are studied. The most critical void orientation has been found.
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