The effect of strain rate on the cavitation time and elastoplastic deformation of steel rectangular plate subjected to underwater explosion load is analytically and numerically investigated in this study. At the cavitation time, the total pressure of the explosion is eliminated so that the cavitation time plays a significant role in the elastoplastic deformation of underwater explosive forming of plate. Taking into account the strain rate effect, the Cowper-Symond constitutive equation of mild steel is employed. Exact linear solution using the Eigen function and numerical linear and nonlinear solution using finite difference method (FDM) of dynamic response of impulsively plate is obtained. Implementing the linear work hardening, the stress, strain, displacement, and velocity in any steps of loading are calculated. The time of cavitation can be recognized in elastic or plastic regimes by applying the Cowper-Symond constitutive equation. Considering the strain rate influence, the effects of charge mass and standoff are investigated to occur of cavitation and time dependent deflection and velocity of a rectangular plate.

本研究对应变速率对水下爆炸载荷作用下矩形钢板的空化时间和弹塑性变形的影响进行了分析和数值研究。在空化时间，爆炸的总压力被消除，空化时间对板材水下炸药成形的弹塑性变形起重要作用。考虑到应变率效应，采用低碳钢的 Cowper-Symond 本构方程。获得了使用特征函数的精确线性解和使用有限差分法（FDM）的脉冲板动态响应的数值线性和非线性解。实施线性加工硬化，计算任何加载步骤中的应力、应变、位移和速度。通过应用 Cowper-Symond 本构方程，可以在弹性或塑性状态下识别空化时间。考虑到应变率的影响，研究了电荷质量和间距对矩形板空化和时间相关挠度和速度的影响。