Mechanochemical growth of an elliptical hole under normal pressure

An approximate analytical benchmark for the problem of nonuniform mechanochemical wear of an infinite plane with an elliptical hole under internal normal pressure is presented. The solution is developed for the cases when the minor axis of the ellipse is greater than the half of the major one. The rate of material dissolution is supposed to be linearly dependent on the maximum principal stress at a corresponding point on the surface of the hole.