Calculation of the optimal initial thickness of a spherical vessel operating in mechanochemical corrosion conditions

An analytical solution is obtained for the problem of determining the optimal initial thickness of a spherical member exploited under the conditions of double-sided mechanochemical corrosion. The optimal thickness is meant to provide the required service life of the vessel with a given capacity and the economical consumption of the material. The corrosion rates are supposed to be linearly dependent on maximum stress and exponentially decaying with time.