Asymptotic approach to the problem identification of a fringe delamination from the base

Abstract

The paper presents an effective scheme for studying the direct and inverse problems of identifying the delamination of the elastic layer from the base. The proposed approach is based on the problem’s asymptotic analysis, based on the assumption that the relative size of the defect is small. In the framework of the asymptotic approach, the transcendental equations for reconstructing the bundle parameters are obtained. Identification is carried out using the additional information about the amplitude values of the displacement field measured at the upper boundary of the layer. The numerical results of the restoration are presented.