Analysis of transient thermal stress and thermal deformation of an angle-ply laminated rectangular plate due to nonuniform heat supply based on higher-order shear deformation theory

This article concerns a theoretical analysis of heat conduction in a transient state and the associated thermoelastic behavior for a multilayered anisotropic laminated plate subjected to nonuniform heat supply. As an analytical model, we consider a laminated rectangular plate consisting of a diagonal stack of layers having orthotropic material properties, i.e., an angle-ply laminate. The three-dimensional temperature solution in a transient state and the associated thermoelastic behavior of the plate with simply supported edge conditions are formulated using the functional approach based on the variational principle. For the analysis of the thermoelastic field, the higher-order shear deformation theory of the plate is used to evaluate the shear stress components. As an example, numerical calculations are carried out for a 2 layered angle-ply laminate, and the numerical results for temperature distribution, out-of-plane deflection, normal and shear stress distributions are discussed in detail.