含裂纹梁刚塑性动态断裂的非线性线弹簧模型分析

用非线性线弹簧模型分析了带裂纹梁的刚塑性动态断裂问题.在塑性势理论基础上,建立了全塑性状态下的弹簧本构关系,并用此关系导出带裂纹梁刚塑性动态断裂分析的基本方程,计算了在冲击载荷作用下,裂纹梁的动态断裂响应.

The Nonlinear Line-Spring Model for Rigid-Plastic Fracture Analysis of Cracked Beam

The rigid-plastic dynamic fracture problem of cracked beam is analysed by using nonlinear line-spring model in this paper. Based on plastic potential theory, the nonlinear spring constitutive relations and elemental relations of cracked beam are derived. The dynamic responses of cracked beam are calculated under pulsive loading. The results show that the method of this paper is simple and reasonable. It provides a simple and effective way to analyse the plastic dynamic fracture problem.