Thermal Stresses Induced into Two Plane Strain Sectors Having Different Material Properties

Thermal stresses induced into two joined plane strain sectors having different physical properties and subjected to a uniform temperature distribution are investigated. Considering the elastic equations of equilibrium, compatibility, the stress-strain equations and appropriate boundary conditions, airy stress functions are formulated which describe the structural characteristics of the sectors. Stress and displacement relations are then obtained. Numerical examples are given illustrating the usage and general application of the derived expressions.