SOLUTION OF THE PROBLEM OF THERMOELASTICITY FOR NONLINEAR ELASTIC INHOMOGENEOUS THICK-WALL CYLINDRICAL SHELL

Abstract

The distinctive paper presents the calculation of a thick-walled cylindrical shell with hinged and free ends on the temperature effect. The shell consists of three layers: two layers of heat-resistant concrete and steel out­er layer. The calculation takes into account the piecewise linear inhomogeneity of the shell due to its three-layer construction and the continuous inhomogeneity caused by the action of a stationary temperature field. To take into account the nonlinear nature of concrete deformation, the problem was solved using the method of successive ap­proximations described in [1]. A comparative analysis of the results of the calculation of the shell with and without taking into account the continuous inhomogeneity and the nonlinear nature of the deformation of concrete is given. Comparison of the results showed a significant decrease in circumferential stresses in the most loaded concrete lay­ers when calculating the shell with regard to physical nonlinearity and heterogeneity of materials.