Modeling of thermoelastic deformation of a thin-layer “coating-substrate” system

Abstract

The problem of thermoelastic deformation of a thin-layer coated strip is considered. To consider scale effects, a one-parameter gradient thermoelasticity model is used. The solution to the problem is based on the application of the Fourier transform in the longitudinal coordinate. The inversion of transformants is carried out on the basis of Filon’s quadrature formula. The stress-strain state of the coated strip was calculated both in gradient setting and in classical setting. The analysis of the influence of the scale parameter on the distribution of displacements and stresses is made.