Abstract
This study is concerned with a theoretical treatment of plane thermoelastic problem of an inhomogeneous medium. We assume that a medium has inhomogeneous material properties which are changed in a form of coordinate variable y. As an illustrative example, we consider an inhomogeneous slab which is subjected to nonuniformly distributed heat supply on upper and lower surfaces. Making use of fundamental equations system of thermoelasticity for the inhomogeneous medium which have been formulated yet, we attempt to derive analytical solutions of temperature change, displacement and stresses in the slab. Thereafter, we carry out numerical calculations and discuss an effect of inhomogeneity in the material properties upon the thermoelastic behavior in the slab.
