IMPULSIVE LOADING OF A SIMPLY SUPPORTED CIRCULAR PLATE

The article is concerned with the behavior of circular plates loaded dynamically and with deflections in the range where both bending moments and membrane forces are important. A general theoretical procedure is developed from the equations for large deflections of plates and a simplified yield condition due to Hodge. It can be shown that these general equations may be reduced to give the predictions of Onat and Haythornthwaite for static loading and to those of Wang for the dynamic case with bending moments only if the rigid, perfectly plastic material from which the plate is made yields according to Tresca and any strain rate effects are disregarded. The results obtained when solving the governing equations for the particular case of a simply supported circular plate loaded with a uniform impulsive velocity are found to compare favorably with the corresponding experimental value recorded by Florence. Although this study is of general interest, it is thought in particular that it should assist in the interpretation of the dynamic biaxial stress-strain characteristics of materials recorded on diaphragms fitted in impact tubes.