Transient Thermal Stress and Deformation of a Laminated Composite Beam Due to Partially Distributed Heat Supply

This paper is concerned with a two-dimensional transient thermal stress analysis of a laminated beam due to a partially distributed heat supply. The beam is composed of different materials in multilayers. For the laminated composite beam we use the finite cosine transform and the Laplace transform for the temperature field and we adapt the elementary beam theory to the thermoelastic field. We then evaluate the temperature change, thermal stress distribution, and thermal deformation in a transient state. We apply the proposed theoretical method to the analysis of a beam with nonhomogeneous material properties, and examine the distributions of thermal stress and thermal deformation and the effect of relaxation of the stress distributions in a nonhomogeneous beam.