Abstract
An approach is presented for solving plane axisymmetric problems of elasticity and thermoelasticity for multilayer hollow cylinders with per-layer properties having arbitrary distribution profiles within the radial coordinate. The approach is based on the representation of material profiles within the entire assembly in the form of stepwise-variable functions with the implication of the direct integration method toward the compatibility equation in terms of strains. The approach avoids using the generalized derivative apparatus. The original problems are reduced to a governing integral equation with an integral condition implying a solution through explicit dependence on the force and thermal loadings.
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