Abstract
Classes of functions for shear moduli which depend on a cylindrical system of coordinates are singled-out and general solutions for the stress and displacement functions are constructed in the form of a finite integral operator consisting of completely defined variable coefficients and an arbitrary analytic function of a complex argument. An example of the solution of the problem with mixed boundary conditions of the torsion of a hollow cylinder, one end of which is rigidly clamped, is given.
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