Transient thermoelastic problem of a nonhomogeneous rectangular plate

This article deals with the determination of temperature distribution, displacement, and thermal stresses in a rectangular plate with inhomogeneous material properties. All the material properties except Poisson's ratio and density are assumed to be given by a simple power law in y coordinate. The system of fundamental equations formulated has been solved by integral transform method. The effects of thermal and mechanical inhomogeneity on temperature and thermal stress distributions are examined. Numerical calculations are performed by taking into account the variation in inhomogeneous property of shear modulus of elasticity and depicted graphically.