Abstract
The purpose of this study is to verify the accuracy of the hierarchical plate/shell element and solid element in the case of thermal stress analysis. By using numerical examples of the plane stress analysis of a circular plate with a hole and thermal bending analysis of plates, the accuracy and convergence of these elements are demonstrated. Because the convergence of displacements and stresses becomes worse in comparison to the case of ordinary plate bending, singular elements are used to improve the accuracy. And, closed-form solutions based on Mindlin's plate bending theory for thermal bending of rectangular plates are obtained using Lévy's method.
