粘塑性变截面杆中冲击波的演化

The evolution of shock waves in a viscoplastic bar with variable section

1.
Department of Mechanics and Mechanical Engineering, University of Science and Technology of China, Hefei 230027, Anhui, China

摘要: 讨论了粘塑性变截面杆中的一维应力波传播规律。在粘塑性本构理论框架的基础上，利用特征关系和冲击波阵面上的突跃条件，得出了冲击波在传播过程中的演化规律，包括其微分方程和解析表达式，并对Bodner和Johnson-Cook材料和不同收缩形式的杆中冲击波的演化规律进行了讨论，同时计算和讨论了杆中冲击波后方应力波传播规律的特点。
- 固体力学 /
- 演化规律 /
- 冲击波 /
- 粘塑性杆
Abstract: This paper discusses the propagation of one-dimensional stress waves in a viscoplastic bar with variable section. Based on the constitutive relation theory which includes internal variables, combining with the characteristic relations and the jump conditions across a shock wave, the evolution rules, indudins their differential equations and the analytical expressions, are obtained. For examples, the shock wave evolution rules in bars with Bodner and Johnson-Cook materials and different section-varying forms are discussed. The propagation rules and characteristics of stress waves behind the shock front are also calculated and discussed.
- solid mechanics /
- evolution rules /
- shock waves /
- viscoplastic bar