Abstract
An equilibrium differential equation for an axisymmetric problem is reduced to an integrable form under the assumption that the shear modulus is continuously differentiable and Poisson’s ratio is constant. A procedure of successive approximations is proposed for the case of a compressible material, and the Lame problem is solved exactly for the case of an incompressible material. A piecewise continuous variation of the Lame parameter as a function of radius is considered. Several examples of determining the stress-tensor components are given for various cases of inhomogeneity.
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