王庭辉　刘筱玲　陈小安　侯延辉

（西南交通大学力学与工程学院，四川 成都 610031）

摘 要：基于实验结果，提出子弹在撞击墩子端面处的瞬间，T 型杆的连接端面处满足应变相容关系的假定，基于此，应用应力波在端面处的传播性质，通 过理论分析解释了实测的应力波波形前后不一致现象，并给出了解决方案。使用ANSYS-LSDY NA有限元程序数值模拟了子弹撞击端面的过程，模拟的端面应力波幅值和实验实测幅值吻合 ，同时证实了假定的合理性和解决方案的可行性，并进一步得出应力波幅值和子弹的速度和 横截面积呈线性关系。

关键词：应力波；Hopkinson杆；数值模拟

Propagation of Stress Wave at End of

T-type Bar Impacted by Bullet

and Its Numeric Simulation

WANG Ting-hui,LIU Xiao-ling,CHEN Xiao-an,HOU Yan-hui

(School of Mechanics and Engineering, Southwest Jiaotong Univer sity, Chengdu Sichuan 610031, China)

Abstract:Based on the expe riment result, the supposition was proposed that the strain at the end of T-ty pe

bar impacted by bullet satisfies coordinative relations. Using the supposition

and the relation of propagation of stress, the variance of the stress wave shape

can be explained and the solution also given. The process of propagation of str ess at end of T-type bar impacted by bullet was simulated by using ANSYS-LSDY NA.

The numeric simulation results of amplitude of stress at end of T-type bar wer e

in good agreement with the experimental results, and the rationality of the sup position and feasibility of the solution were validated. The relations of the am plitude of stress wave with the velocity of bullet and cross sectional area of t he bullet were approximately linear.

Key words:stress wave; Hopkinson bar; numeric simulation

目前，传统的SHPB实验技术已经非常成熟，并不断的发展改进以适应特殊材料和特殊加载条 件的需要［1-2］。采用子弹撞击T型杆的端部直接在杆中获得拉伸应力波是获得高 质量拉伸应力波的好方法，较之采用SHPB二次反射拉伸获得的波形有明显改善。因此作者实 验室已经成功开发出分离式的HOPKINSON拉杆设备［3］并开展了一定实验研究［ 4-5］，就是采用直接撞击获得拉伸波信号。由于应力波在变截面处的透射反射特性，和 实验中出现的特殊现象，有必要弄清子弹撞击T型杆端面处的应力波传播情况。

本文基于实验实测信号，提出子弹在撞击墩子端面处的瞬间，T型杆的连接端面处满足应变 相容关系假设，在此基础上，应用应力波在一维杆中的传播性质解释了实验中出现的应力波后半部分近似2倍于前半部分这个 规律，并给出了解决方案。……