Finite Deflections of a Simply Supported Rigid-Plastic Circular Plate Loaded Dynamically

摘要

A theoretical analysis is presented for the dynamic behavior of a simply supported reigid, perfectly plastic circular plate subjected to a rectangular pressure pulse. It is shown that this theory, which considers the simultaneous influence of membrane forces and bending moments, predicts final deformations which are considerably smaller than those given by the corresponding bending theory of Hopkins and Prager even when maximum deflections only of the order of the plate thickness are permitted. It is believed that this theoretical analysis should assist in the interpretation of the dynamic biaxial stress-strain characteristics of materials recorded on diaphragms fitted in impact tubes and could be developed further in order to describe the behavior of plates having other support conditions and different dynamic loading characteristics. (Author)