ABSTRACT

The problem of thermal stresses in thin plates is developed with the Kirchhoff-Love hypothesis. First, thermal stresses in thin plates due to the temperature change along the thickness only are discussed. Then, the thin plate theory based on the Kirchhoff-Love hypothesis is introduced in the Cartesian coordinate system, and also the boundary conditions are stated. Rectangular plates with various kinds of boundary conditions are considered. The fundamental equation and the associated boundary conditions in the Cartesian coordinate system are provided. The chapter describes the thermal stresses in beams. It also considers an axisymmetric thermal bending problem where the circular plate is subjected to axisymmetric thermal loads and its end surfaces are subjected to axisymmetric boundary conditions. Finally, basic equations for circular plates that are introduced and then a number of axisymmetric and non-axisymmetric problems are presented.