Abstract
This paper presents the asymmetric analysis of the stress distribution arising in an isotropic infinite slab with a symmetrically located spherical cavity under a unidirectional uniform tension. To satisfy both boundary conditions on the surface of the slab and the surface of the cavity, harmonic functions in rectangular and spherical coordinates are used and the double Fourier transform is applied. The problem is reduced to the solution of infinite sets of linear equations which are suitable for numerical solution by an iterative technique. Finally some numerical examples are given for various values of the radius of the cavity.
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