An analysis of transient thermal stresses in composite structures based on nonhomogeneous plane-thermoelasticity.

Abstract

The aim of this paper is to analyze the plane-thermoelastic problems in composite hollow cylinders by using the plane-thermal stress theory for nonhomogeneous multiply-connected regions developed by the present authors. This theory was developed by considering the composite bodies consisting of several layers of distinct homogeneous materials as nonhomogeneous bodies. Since this method does not need the consideration of the continuity of temperature, heat flux, stress and displacement at the interfaces, we can analyze the thermal stresses in the composite bodies consisting of three layers of homogeneous materials and layers of nonhomogeneous materials such as functionally gradient material. The thermal stress problems in the composite hollow cylinders consisting of two or three layers of homogeneous metals and ceramics subjected to asymmetric heating on the inner boundary are expressed using the nonhomogeneous thermal stress theory formulated in terms of Airy's stress function and solved numerically using the finite difference method.