Elastoplastic analysis of circular plates on elastoplastic foundation

Abstract

An elastoplastic analysis of rotationally symmetric reinforced concrete plates resting on elastoplastic subgrade under column load is presented. The plates are made of an elastic, perfectly plastic material that obeys the Johansen's yield condition and the associated flow rule. The analysis is simplified by assuming that any plate element is either entirely elastic or entirely plastic. This assumption is practically fulfilled for a sandwich plate. Differential equations that describe the behavior of plastic zones during the deformation process are derived and solved in closed forms. Interaction between the plate and the foundation is investigated. Dimensionless load-moment relations for different plate parameters are shown in figures. Examples of solutions are given.