Transient Thermoelastic Analysis of Rectangular Plates with Time-Dependent Convection and Radiation Boundaries

Abstract

Approximate analytical solutions are presented for the transient thermoelastic problem of rectangular plates with time-dependent convection and radiation boundaries. To include the nonlinear radiation boundary, the whole heating process is divided into several time steps, and a linearized approximation is used to simplify the radiation term for each step. The one-dimensional transient temperature along the thickness direction is solved using the technique of the separation of variables. The displacement and stress solutions are obtained by applying the state-space method to the three-dimensional thermoelasticity equations. The accuracy of the present solutions is demonstrated by comparison with the reported results in the open literature and the finite element solutions. In the numerical examples, two kinds of thermal boundaries, namely, time-independent convection boundaries and time-dependent convection and radiation boundaries, are considered to show the availability of the present solutions.

Thermoelastic Behaviors of Temperature-Dependent Multilayer Arches under Thermomechanical Loadings

“…Thus, diverse refined theories have been proposed, such as the first-order theory [22][23][24] and higher-order theories [25][26][27][28]. Additionally, the exact thermoelasticity theory [29,30] can also be used to solve the arch problems. Using the thermoelasticity theory, Qian et al [31] studied the static behavior of laminated arches under thermal loading.…”