基于全光纤激光干涉测速技术的拉氏反分析方法应用于脆性材料动态本构关系研究

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摘要基于多探头全光纤激光干涉测速技术，在分离式Hopkinson压杆系统上，搭建了长杆试件拉氏反分析实验装置，用于研究脆性材料的动态本构关系。为了监测长杆试件轴向质点速度，提出了激光斜入射新方法，并检验了新方法的可行性和准确性。基于一维应力波传播理论，建立了欧拉质点速度与拉格朗日质点速度之间换算关系，对于脆性材料而言，其断裂应变很小，在拉氏反分析时可以忽略两者之间的差异。利用实测的多质点速度时程曲线，通过构建路径线连接整个速度场，再结合零初始条件，实现了拉氏反分析方法的数值求解，获得了脆性材料PMMA的动态应力-应变曲线，并与Hopkinson压杆实验和准静态压缩实验的结果进行了对比。

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关键词 ：激光干涉测速, 拉氏反分析, 质点速度, 动态本构关系

Abstract：Based on the multi-probe all-fiber laser interference velocity measurement technique, on a split Hopkinson pressure bar system, a Lagrangian inverse analysis test device for long rod specimens was built to study the dynamic constitutive relation of brittle materials. In order to monitor the axial mass point velocity of a long rod specimen, a new method of laser oblique incidence was proposed, and the feasibility and correctness of this new method were verified. Based on the 1-D stress wave propagation theory, the conversion relation between Euler mass point velocity and Lagrange one was established. It was shown that fracture strains are very small for brittle materials, so the difference between Euler mass point velocity and Lagrange one can be neglected. Using multi-mass point velocity time history curves, path lines were constructed to connect the whole velocity field, and then zero initial conditions were combined to realize numerical solving with Lagrangian inverse analysis method, and obtain the dynamic stress-strain relation curve of the brittle material PMMA. This constitutive relation curve was compared with those of Hopkinson pressure bar test and quasi-static state compression test.

Key words： Laser interferometry Lagrangian inverse analysis Particle velocity Dynamic constitutive relation.

收稿日期: 2017-12-08 出版日期: 2019-05-28

引用本文:

丁圆圆张振赖华伟王永刚. 基于全光纤激光干涉测速技术的拉氏反分析方法应用于脆性材料动态本构关系研究[J]. 振动与冲击, 2019, 38(11): 116-120.
DING Yuanyuan, ZHANG Zhen, LAI Huawei, WANG Yonggang. Lagrangian inverse analysis method for studying dynamic constitutive relation of brittle materials based on all-fiber laser interference velocity measurement technique. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(11): 116-120.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2019/V38/I11/116

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