Mathematical modeling of diagnostics of thermoelastic layered medium

Abstract

The article discusses the problems of non-destructive testing of multilayer composite materials. Technological influences during manufacturing and the influence of external factors during the operation of composite structures can lead to the occurrence of material defects, which manifests itself as heterogeneity and anisotropy of individual layers and, as such, affects thermomechanical processes in multilayer composites. In the work as a model of non-destructive testing, the mathematical problem of determining the thermomechanical characteristics of weakly inhomogeneous and weakly anisotropic layers of a multilayer half-space is formulated. The tests include measurements on the outer surface of the half-space of temperature and displacements arising as a result of thermoelastic processes initiated in a special way in the layered medium under study. An approach to solving the formulated problem, based on the linearization of the original nonlinear equations and the application of the method of stationary basic processes, is proposed.