Solution of boundary-value problems of the statics of layered elastic bodies with nonrigid contact between the layers

A technique is proposed for solving three-dimensional problems of the stress-strain state of cylinders, spheres, and shallow elastic bodies with a rectangular projection which are composed of laterally nonhomogeneous anisotropic layers with nonrigid contact between the layers. The solution of the corresponding many-point boundary-value problem is reduced to solving a number of two-point problems by a known numerical apparatus. Solution results are reported for the strain of a three-layer spherical shell with slipping layers.Translated from Vychislitel'naya i Prikladnaya Matematika, No. 56, pp. 62–68, 1985.