Thermal stresses in anisotropic bodies with a hole or a rigid inclusion

The Lekhnitskii complex potential approach of anisotropic elasticity is extended to include the thermal effect. A concise formulation of the thermal stress problem of an anisotropic elastic body with a hole or a rigid inclusion in generalized plane deformation or generalized plane stress condition is presented. Special attention is paid to the systematic determination of the general forms of the complex potentials for the thermoelastic field that satisfies the prescribed boundary conditions at the interior contour. Both the Dirichlet and the Neumann type of boundary conditions arc considered. Using these general forms of solution, thermal stresses for the generalized plane problems of anisotropic body with a hole or a rigid inclusion can be determined in a simple and systematic manner. Applications of the solution method to several illustrative examples are given.