Stationary Temperature and Stress Fields in an Anisotropic Elastic Slab

Abstract

The stationary temperature, displacement, and stress distributions in an anisotropic elastic slab undergoing generalized plane deformation are examined. A general representation for the thermal boundary conditions is used, which permits specification of surface temperature, heat input, thermal insulation, or convection at each boundary of the slab. The solution is valid for traction-free slabs having thermal and elastic anisotropy of the most general form. As an illustrative example, the temperature and stresses due to a uniform temperature rise over a portion of the boundary of a slab are computed.