Two-Dimensional Thermal Stresses and Displacements in an Arbitrarily Inhomogeneous Elastic Layer
This paper presents an analytical approach for solution of the plane-strain problem on elastic equilibrium of a layer whose material properties are arbitrary functions of the transversal coordinate. The layer is stressed by distributed temperature field under given displacement of its limiting surfaces. By making use of the explicit solution of the relevant problem in terms of stresses, the boundary tractions are determined by the given boundary displacements and temperature field on the basis of established one-to-one relations. In such manner, the original problem is reduced to the problem with boundary conditions in terms of stresses.
Bale V. Reddy, Shishir Kumar Sahu, A. Kandasamy and Manuel de La Sen
Y. Tokovyy et al., "Two-Dimensional Thermal Stresses and Displacements in an Arbitrarily Inhomogeneous Elastic Layer", Applied Mechanics and Materials, Vol. 627, pp. 141-144, 2014