Axisymmetric Thermal Stresses in Solid Cylinders

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, the Papkovich-Neuber functions, Michell’s function, and Boussinesq’s functions.

Two-dimensional axisymmetric thermal stresses in solid cylinders 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 solid circular cylinder with radius a is discussed. Next, the transient thermal stress in a finite solid circular cylinder with radius a and length 2lis explained. In this case, the analytical treatment is complex in order to satisfy...