Analytical Solutions for 3-Dimensional Anisotropic Problem Including Elliptic hole with Steady-State Line Source of Heat and Their Numerical Examples.

Abstract

This paper presents analytical solutions for 3-dimensional anisotropic problems containing steady-state line source of heat and elliptic cavity or elliptic rigid inclusion considering an arbitrary direction of the principal axis of elasticity. heat conductivity and thermal expansion. Mechanical boundary conditions treated here are free and fixed boundary, and thermal boundary conditions are isothermal and adiabatic boundary. In the last part of this paper, we show several numerical examples and the effects of anisotropy and its inclination are shown by many graphical representations.