Three-dimensional stress analysis of thick plates under various transverse loads resting on elastic foundations

Abstract

This paper presents the three-dimensional (3-D) stress analysis of four edges simply supported thick plates resting on elastic foundations. The thick plate is subjected to a body force as dead weight and a surface force as fully or partially distributed uniform load. The analysis is based on the theory of elasticity, and the elastic foundation is described by the Winkler model. In this paper, an analytical solution is mathematically derived by using the double Fourier series expansions. The convergence of derived series solution is demonstrated by several examples. The effects of thickness-to-length ratio, non-dimensional foundation parameter and transverse loading condition on the displacements and stresses of thick plates resting on elastic foundations are investigated.