Stability of thin-walled high-pressure cylindrical pipes with non-circular cross-section and variable wall thickness subjected to non-homogeneous corrosion

This paper proposes a method for determining the critical time of stability loss of thin-walled cylindrical pipes with non-circular cross-section and variable wall thickness along the directrix subjected to non-homogeneous corrosion from the inside. The method is based upon the model of a thin elastic cylindrical shell with a non-circular cross-section and variable wall thickness along the directrix. It is shown that the critical time can be established if the solution of the respective problem of the static stability loss for the non-circular cylindrical shell with variable wall thickness along the directrix, not subjected to corrosion, and the law of corrosion rate change are known. Numerical results are connected with the pipe of the elliptical cross-section.