Thermal Stress Analysis of Two Dimensional Thermoelastic Problem for Inhomogeneous Half Plane

This paper develops a method for analytically solving plane elasticity and thermo-elasticity problems for inhomogeneous half planes. With the direct integration of the equilibrium equation, the original problems can be reduced to a set of governing harmonic equations with corresponding boundary conditions. Distribution of Young's modulus, shearing modulus and dimensionless stresses are illustrated numerically and shown graphically.