We consider a class of problems related to the deformation of a pipe of an inhomogeneous material, its inhomogeneity being caused by the conditions of its synthesis or by other effects. A mathematical model is developed for analyzing the stressed-strained state in two-dimensional elasticity problems of inhomogeneous bodies. New forms of basic equations are derived, and the method of successive approximations for solving this class of problems is suggested. General expressions for the stresses in the form of series are given, and their convergence is verified. Using complex variable functions, analytical expressions for the successive approximations are obtained.
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