The paper deals with the problem of determining the stress-strain state of a thick-walled cylindrical shell subjected to temperature action. The shell consists of three layers: two layers of heat-resistant concrete and a steel outer layer. The calculation takes into account the continuous inhomogeneity of materials caused by a stationary temperature field, as well as the nonlinear nature of concrete deformation. The nonlinear problem with variable parameters of elasticity E and v solved by the method of successive approximation was described in the article [1].
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