Shear and Bending Response of a Rigid Plastic Circular Plate Struck Transversely by a Mass*

摘要

A theoretical analysis is presented for the dynamic plastic behavior of a fully clamped rigid, perfectly plastic circular plate struck transversely by a rigid mass at the center. It is shown that the maximum permanent transverse deformation predicted by a theoretical solution, with combined transverse shear and bending, is similar to that from a bending-only solution when the ratio of shear strength to bending capacity #x3C5; is sufficiently large. However, when the strength parameter #x3C5; is small, the transverse shear deformation dominates the response and the maximum deformation from a combined shear and bending solution increases sharply with a decrease in #x3C5;. It is also found that the transverse shear deformation becomes more important with an increase in the dimensionless mass ratio #x3B2; and is sensitive to the dimensionless radius #x3C1;0of the impact area.