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.