Calculation of thermoelastoplastic asymmetrical stress-strained state of the layered round cylindrical shells

The methods of determination of nonaxisymmetrical thermoelastoplastic stress-strained state of the layered circular cylindrical shells have been developed. It is supposed that the layered package works without mutual friction and without separation of layers. The problem is solved using the geometrically linear theory of shells which is based on the Kirchhoff-Love hypotheses. The equations of thermoplasticity are recovered in a form of the method of additional deformations. The order of the obtained system of partial differential equations decreases with the help of trigonometric series in the cyclic coordinate. Thus obtained systems of ordinary differential equations are solved by the method of Godunov's discrete orthogonalization. Nonaxisymmetrical thermoelastoplastic stress-strained state of a bilayered cylindrical shell is considered as an example.