Open AccessAsymptotic approach to the problem identification of a fringe delamination from the base
Author(s) -
O. V. Yavruyan,
Khungianos Yavruyan
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/913/3/032055
Subject(s) - delamination (geology) , transcendental equation , displacement (psychology) , base (topology) , identification (biology) , boundary (topology) , bundle , mathematics , displacement field , mathematical analysis , asymptotic analysis , boundary value problem , field (mathematics) , differential equation , structural engineering , finite element method , engineering , geology , materials science , pure mathematics , psychology , paleontology , botany , biology , subduction , composite material , psychotherapist , tectonics
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.