Multilayer medium behavior simulation in the presence of delamination defects

Don State Technical University, 1, Gagarin sq., 344002 Rostov-on-Don, Russia

^* Corresponding author: lyapin.rnd@yandex.ru

Abstract

The article is devoted to the study of the steady harmonic oscillation excitation processes by a surface source in a multilayer linearly elastic layered half-plane with an internal defect. The application of the work results is associated with the design and assessment of the multilayer structures state, such as geological structures, non-rigid pavements, layered composites. The study is based on the use of the boundary element method and the construction of boundary equations with respect to displacements at the defect boundary. Using the integral Fourier transform, fundamental solutions for a multilayer half-plane satisfying the stress-free conditions at the upper boundary of the domain are constructed. A feature of the construction is the good computational ability of the proposed algorithm with a large number of layers. The basic one is the construction of a solution for a homogeneous half-plane. This allows you to implement parallel computing. In the numerical implementation, a spline approximation of the defect boundary is used. Linear boundary elements are applied. As an example, a comparative analysis of the amplitude-frequency characteristics on the surface of the half-plane is given for cases of a limited defect, its absence and contact of layers without friction on the entire boundary. This allows us to draw conclusions about the possibility of identifying internal damage at the boundaries of layers by monitoring the wave field on the surface of a multilayer structure.