Delamination of a coating lying on an elastic base

Known models were used to investigate the delamination of a pre-compressed coating from an elastic base, to study in detail the corresponding transcendental equation, prove the existence of a solution in a certain range of parameter values, and obtain simple formulas for the critical value. The supercritical behavior of the coating was studied using the linearization procedure and the Ritz method. It was proposed to simplify the problem by solving the problem for a beam with Winkler type boundary conditions in the delamination area, and an assessment of this simplification was made.