Construction of analytical solution of two-dimensional stochastic steady-state creep problem for thick-walled tube

Basing on the small parameter method the two-dimensional stochastic non-linear boundary value creep problem for the thick-walled tube under the inner pressure is solved in first approximation. The problem is considered using the polar coordinates for the plane strain state case. The stochasticity is introduced in the creep definitive relations corresponding to the non-linear theory of viscous flow using the random homogeneous function of two variables. The statistical analysis of the random stress fields and strain velocities is made.