High-temperature long-term strength of shells in aggressive media with regard for the mass exchange

We study the long-term strength of long cylindrical shells placed in aggressive media under the conditions of complex stressed states. The influence of these states on the long-term strength of the shells is described with the help of equivalent scalar stresses. The time to fracture of the shell is found according to the Rabotnov kinetic theory by using two parameters, namely, the degree of damage to the material and the concentration of the medium in the material of the shell. As the boundary condition on the fracture front, we use the condition of mass exchange. We study the interaction between the diffusion and fracture fronts. The time to fracture of the shell is found by using the solution of a system of integrodifferential equations. Under the assumption of mean level of concentration of the medium, we deduce explicit relationships between the times to fracture of the shell in aggressive and neutral media.