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粘塑性变截面杆中冲击波的演化
引用本文:李永池,姚磊,董杰,朱林法,胡秀章.粘塑性变截面杆中冲击波的演化[J].爆炸与冲击,2005,25(6):481-486.
作者姓名:李永池  姚磊  董杰  朱林法  胡秀章
作者单位:1.中国科学技术大学,安徽 合肥 230027
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。

关 键 词:固体力学    演化规律    冲击波    粘塑性杆
文章编号:1001-1455(2005)06-0481-06
收稿时间:12 3 2004 12:00AM
修稿时间:02 2 2005 12:00AM

The evolution of shock waves in a viscoplastic bar with variable section
LI Yong-chi,YAO Lei,DONG Jie,ZHU Lin-fa,HU Xiu-zhang.The evolution of shock waves in a viscoplastic bar with variable section[J].Explosion and Shock Waves,2005,25(6):481-486.
Authors:LI Yong-chi  YAO Lei  DONG Jie  ZHU Lin-fa  HU Xiu-zhang
Affiliation:1.Department of Mechanics and Mechanical Engineering, University of Science and Technology of China, Hefei 230027, Anhui, China
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 sectionvarying forms are discussed. The propagation rules and characteristics of stress waves behind the shock front are also calculated and discussed.
Keywords:solid mechanics  evolution rules  shock waves  viscoplastic bar
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