Effect of transverse normal strain on the bending of thick circular plates on an elastic foundation subjected to surface loads

Abstract

In this work a two-dimensional elastostatic theory for circular plates on an elastic foundation is presented. This theory incorporates the transverse normal strain effect in addition to the transverse shear and normal stress effects. The governing equations and solutions for the nonsymmetrical bending of circular thick plates resting on an elastic foundation are presented. Also, the governing equations for the in-plane displacements u 0 and v 0 are derived and can be used in practical applications, particularly in stability analysis. A problem for which the transverse effects are significant is discussed. Illustrative numerical results for an infinite plate subjected to a concentrated load resting on an elastic foundation are included. The results are compared to those obtained using the plate theory by Reissner and the classical plate theory.