Abstract
A method of solution of three-dimensional axisymmetric problems by means of functions of a complex variable was proposed in [1–3]; there the equations of the problem were obtained by a rotation of the plane state about an axis of symmetry or by a linear translation of the axisymmetric state. Below (Section 1) the equations are obtained by means of a general solution [2–3] of the three-dimensional problem of elasticity theory in the form due to P.F. Papkovich. These equations are utilized for the solution of the first and second basic problems of elasticity theory for a sphere and for a region with a spherical cavity (Section 2).
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