Dynamic Plastic Analysis of Impulsively Loaded Viscoplastic Rectangular Plates With Finite Deflections

Abstract

An energy balance method for the dynamic plastic analysis of thin rectangular plates made of a strain-rate sensitive material, taking into account the influence of finite-deflections, is proposed. The particular case of a fully clamped plate under uniformly distributed dynamic pressure pulse or blast loading is studied in some detail. In addition to the nonaxisymmetric and dynamic nature of the problem, the analysis considers important nonlinearities in the strains, equilibrium equations, and constitutive equations. Nonlinear ordinary differential equations in various regimes of plate deflections and loading histories are derived and solved using a Runge–Kutta method. Comparisons are made with existing experimental data.