Abstract
This paper deals with a theoretical analysis of an axisymmetrical elastic singular stress problem for a nonhomogeneous thick plate with a penny-shaped crack. It is assumed that the nonhomogeneous material property of the shear modulus of elasticity G varies with the variable of the axial coordinate z according to the power product form, i.e., G(z) = G 0 z α . As an analytical model, we consider a nonhomogeneous thick plate with a penny-shaped crack subject to a uniformly distributed loading such as internal pressure on the crack surfaces. Then, the axisymmetrical elastic problem for such a nonhomogeneous material with a singular stress field can be theoretically developed making use of a fundamental equation system, which has already been proposed in our previous paper. And numerical calculations are carried out for several cases to evaluate the influences of the nonhomogeneous parameter m of the shear modulus of elasticity G and the position of a crack in a thick plate on the elastic behavior. Numerical results for the elastic and the singular stress fields are shown graphically.
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