thick-walled tube, elliptic outer contour, steady-state creep, small parameter method, approximate analytical solution, second approximation, finite element model, numerical solution, solution error.

The thick-walled tube with elliptically perturbed outer contour under the impact of internal pressure in a steady-state creep is considered. The approximate analytical solution of the problem by small parameter method to the second approximation inclusive was constructed. The case of plane strain was considered. For the error estimation of the approximate solution the problem was solved also numerically by the finite element method. A comparative analysis of the stresses, obtained by the small parameter method and numerical method is executed. It was shown that the error of deviation of the approximate analytical solution for stresses in the second approximation from numerical solution for the tubes with exponent of the steady-state creep from 3 to 11 is not more than 10 % till flattening factor of ellipse (that is ratio of the difference of semi-axes to the semi-major axis) 6 %.

Radchenko Vladimir Pavlovich e-mail: radch@samgtu.ru, Dr. Sci. Phys. & Math., Professor, Head of Department of Applied Mathematics and Computer Science, Samara State Technical University, Samara, Russia.

Moskalik Anna Davidovna e-mail: annmoskalik1@gmail.com, Postgraduate student, Department of Applied Mathematics and Computer Science, Samara State Technical University, Samara, Russia.