LAUSR

Abstract This article demonstrates conditions of stress-free deformation of anisotropic FGM interface under thermal loading. Existence of such a deformation is theoretically possible in the case of constant temperature, reduction of the covariant differential along direction of functional gradation to the partial differential, and simultaneously the linear gradation of thermal expansion tensor. Nevertheless, two examples of engineering structures, a thick three-layer plate and a thick-walled cylinder, show that either the compatible deformation of three-layer structure or an application of the curvilinear interface results in stress state appearance. Both examples under consideration take the advantage of an alumina-based composite Al-Al2O3, the thermomechanical properties of which are subjected to transverse isotropy.