矩形薄板的塑性动力屈曲研究

Dynamic Plastic Buckling of Rectangular Plates

基于刚塑性理论分析了轴向砰击载荷作用下矩形薄板的塑性动力屈曲问题.在理论分析中,采用米塞斯屈服条件及其相关的流动准则,并且假定材料服从刚性一线性强化规律,推导了问题的控制方程,然后,对控制方程进行了求解.在此基础上,给出了矩形薄板发生塑性动力屈曲的必要条件,确定了矩形薄板塑性动力屈曲的临界半波长和临界冲击值.

Dynamic plastic buckling of rectangular plates under axial slamming impact is analyzed with the rigidity-plasticity theory. The Mises yield condition and the related flow rule are adopted and a rigid-linear hardening material is assumed. The governing equation is derived and solved. The necessary condition for dynamic plastic buckling of rectangular plates is given and the critical half-wave lengths as well as the critical impact values of the plate are determined.