Theoretical analysis on the effect of uniform and localized impulsive loading on the dynamic plastic behaviour of fully clamped thin quadrangular plates

This paper presents an approximate theoretical analysis of inelastic behaviour of fully clamped thin quadrangular plates subjected to two different distributions of impulsive loading. The presented analysis has been developed based on plastic work of plate and kinetic energy in which it assumes that the plate behaves rigid perfectly plastic. The rigid plastic analysis uses an interaction yield surface based on reasonable assumption that only membrane force considers for plastic flow and employs the Cowper-Symonds equation to cater for material strain rate effect. In this study, the applied load is estimated by assuming the initial velocity field of flat plate based on the boundary conditions of plate and geometry of explosive charge setup. Obtained models predict final deflection of the quadrangular plate loaded by uniformly and localized loading. The proposed solution permits consideration of characteristic influence of the load and material on the response of plate. It is observed that the present theoretical models are in good agreements with experimental results and also in comparison with other approximate solution, the present models are found to be simpler and in better agreements with experimental values.