Thermal Bending of Laminated Composite Rectangular Plates and Nonhomogeneous Plates Due to Partial Heating

This article is concerned with a thermal bending analysis of a laminated composite rectangular plate due to a partially distributed heat supply. For the theoretical development, we have introduced the methods of finite cosine transformation and Laplace transformation to the temperature field and adapted the classical plate theory based on Kirchhoff-Love's hypothesis to the thermoeiastic field. Thereafter, we have applied the theoretical development proposed in the present article to the analysis of a nonhomogeneous rectangular plate of the thermal stress relaxation type such as functionally gradient material. Then we have evaluated temperature change, thermal stress, and thermal deflection of simply supported plates and clamped ones. And we have examined the effect of relaxation on distributions of the thermal stress and thermal deflection for the nonhomogeneous rectangular plate.