The statement is formulated and the solution of the problem of determining the time of corrosion destruction of an elastic homogeneous plate with a deep bilateral external recess is given. A plate of corrosive material is subjected to bilateral stretching in a corrosive environment in a direction perpendicular to the axis of the recesses. The well-known solution of the problem of the stress state of this plate, obtained by H. Neuber, is used. The following cases are considered: a) the effect of stress, which occurs in the plate when it is stretched, on the corrosion process is negligible; b) the effect of plate voltage on the corrosion process is significant. In both cases, the dependences of the change in the area of the narrowest cross-section of the plate on time are found. The time of complete corrosion wear and the time of corrosion cracking of the plate before its complete wear are also determined.

A functional of nonstationary cyclic fatigue of bodies was constructed under the assumption that the destruction process occurs in time after the deformation process. Damage conditions are derived, which determines the number of non-stationary loading cycles, in which damage and cyclic fatigue occurs in the body, which makes it possible to find the nonstationary number of loading cycles before failure.