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

作　　者：李永池[1] 姚磊[1] 董杰[1] 朱林法[1] 胡秀章[1] 

机构地区：[1]中国科学技术大学,安徽合肥230027

出　　处：《爆炸与冲击》2005年第6期481-486,共6页Explosion and Shock Waves

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。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 sectionvarying forms are discussed. The propagation rules and characteristics of stress waves behind the shock front are also calculated and discussed.

关 键 词：固体力学 演化规律 冲击波 粘塑性杆 

分 类 号：O345[理学—固体力学] O347.5[理学—力学]