Unified Treatment of Analytical Solutions for Uniform Heat Flow Problems of Isotropic Elastic Body with Hole of Arbitrary Shape and Their Numerical Examples

Abstract

Thermal stress and displacement analysis as well as thermal stress intensity facters (TSIF) are given for the cases of an infinite plate (medium) having a free hole or a rigid inclusion of arbitrary shape under steady state heat flow from infinity. The hole whose surface is insulated or fixed at elevated temperature is also considered. Unified treatment of the analytical solutions for the above cases is obtained by use of the power series type of mapping function and complex variable method. Several numerical results are shown by graphical representation.