Heat source problem of thermoelasticity in an elliptic plate with thermal bending moments

摘要

The principal aim of this article is to investigate the thermoelastic problems on an elliptical plate in which interior heat sources are generated within the solid, with compounded effect due to sectional heating and boundary conditions of the Dirichlet type. The analysis is based on the small-deflection theory of the elliptical plate and performed in the elliptical coordinate system. In addition, the intensities of bending moments, twisting moments, etc., are formulated involving the Mathieu and modified functions and their derivatives. The analytical solution for the thermal stress components is obtained in terms of resultant forces and resultant moments.