Axisymmetric Thermal Stresses in Disks

Overview

Mechanical and structural bodies are frequently subjected to both mechanical loads and temperature changes. The mechanical and structural elements are three-dimensional bodies such as rectangular bars, cylindrical bars, and spheres. The analysis of three-dimensional bodies typically relies on displacement potentials, such as Goodier’s displacement function, Papkovich-Neuber functions, Michell’s function, and Boussinesq’s functions.

Two-dimensional axisymmetric thermal stresses in disks subjected to two-dimensional temperature changes are considered in the cylindrical coordinate system (r, z). Goodier’s displacement function, Michell’s function, and Boussinesq’s function are introduced. The transient thermal stress in an infinite disk with thickness 2 h is discussed. Next, the transient thermal stress in a disk with radius a and thickness 2 his explained. In this case, the analytical treatment is complex in order to satisfy the boundary conditions on both the circular and the...