对基于质点速度测量的拉格朗日分析法的进一步探讨
PDF下载 (520)丁圆圆,杨黎明,王礼立.对基于质点速度测量的拉格朗日分析法的进一步探讨[J].宁波大学学报(理工版),2012,25(04):83-87.DOI:
DING Yuan-yuan,YANG Li-ming,WANG Li-li.A Further Discussion on the Lagrangian Analysis Method Based on Particle Velocity Wave-profiles Measurements[J].Journal of Ningbo University(Natural Science & Engineering Edition),2012,25(04):83-87.DOI:
| Title: | A Further Discussion on the Lagrangian Analysis Method Based on Particle Velocity Wave-profiles Measurements |
| 作者: | 丁圆圆, 杨黎明, 王礼立 |
| Author(s): | DING Yuan-yuan, YANG Li-ming, WANG Li-li |
| 关键词: | 波传播; 拉格朗日分析; 率型本构关系 |
| Keywords: | wave propagation; Lagrangian analysis; rate-dependent constitutive relation |
| 分类号: | TU45 |
| 文献标识码: | A |
| 摘要: | 针对以往基于质点速度波形测量使用拉格朗日分析法反推材料动态力学性能时, 需作某种简化假定或者必须同时实测应力边界, 而在实验过程中的边界应力数据在某些情况下测不到或测不准的状况. 因此基于路径线法和零初始条件, 提出了一种改进的拉格朗日分析法, 新方法可不涉及边界应力, 直接反推出材料高应变率下的动态应力应变曲线. 并且运用该方法对有机玻璃材料的动态性能进行了数值模拟研究分析, 其结果与运用特征线法求得到的数据非常吻合, 从而证实了该方法的可靠性和有效性. |
| Abstract: | In the past, the data of boundary stress or a simplified assumption is essential for studying dynamic mechanical properties of materials using the Lagrangian analysis method based on the particle velocity wave-profiles measurements. However, the boundary stress data in some cases can not be detected or determined by the experimental measures. To tackle this situation, this paper presents a modified Lagrangian analysis method which does not involve the boundary stress computation. Starting from the path-lines method and utilizing the zero-initial condition, the material constitutive stress-strain curves under high strain-rates is deduced from only observing the particle velocity curve measurements. The dynamic stress/strain wave-profiles of the PMMA material, as a paradigm, are numerically studied using the proposed method, which are well in agreement with the theoretical result using the method of characteristics, which confirms the reliability and validity of the presented method. |
| 参考文献 /References: | [1] 王礼立. 应力波基础[M]. 2版. 北京: 国防工业出版社, 2005. [2] 朱珏. 混凝土类材料冲击本构特性的SHPB技术及Lagrange反解法的研究[D]. 合肥: 中国科技大学, 2006. [3] Yang L M, Shim V P W. An anlysis of stress uniformity in split Hopkinson bar test specimens[J]. International Journal of Impact Engineer, 2005, 31(2):129-150. [4] 朱珏, 胡时胜, 王礼立. SHPB试验中粘弹性材料的应力均匀性分析[J]. 爆炸与冲击, 2006, 26(4):315-322. [5] Fowles R. Conservation relations for spherical and cylindrical stress waves[J]. Journal of Applied Physics, 1970, 41:2740-2741. [6] Cowperthwaite M, Williams R F. Determination of constitutive relationships with multiple gauges in nondi- vergent waves[J]. Journal of Applied Physics, 1971, 42: 456-462. [7] Grady D E. Experimental analysis of spherical wave propagation[J]. Journal of Geophysical Research, 1978(8): 1299-1307. [8] 王礼立, 朱珏, 赖华伟. 冲击动力学研究中实测波信息的解读分析[J]. 高压物理学报, 2010, 24(4):279-285. [9] 李孝兰. 对一组有机玻璃粒子速度测量波形的拉格朗日分析[J]. 爆炸与冲击, 1985, 5(4):45-53. [10] 乔河, 柴华友. 爆炸作用下花岗岩动态本构关系试验研究[J]. 岩石力学与工程学报.1996, 15:446-451. [11] 陈叶青, 于亚伦, 冯叔瑜. 用拉格朗日分析方法研究水泥石的动态力学性能[J]. 北京科技大学学报, 1996, 18(4):305-310. [12] 赖华伟, 王礼立. 基于质点速度测量的拉格朗日分析方法的重新认识与改进[C]. 第12届全国高压学术讨论会, 2004:132. [13] Wang L, Zhu J, Lai H W. A new method combining lagrangian analysis with Hopkinson pressure bar techni- que [J]. Strain, 2011, 47:173-182. [14] 王礼立, 施绍裘, 陈江瑛, 等. ZWT非线性热粘弹性本构关系的研究与应用[J]. 宁波大学学报: 理工版, 2000, 13(增):141-149. |
| 备注/Memo: | 收稿日期: 2012-07-16. 基金项目: 国家自然科学基金项目（11032001）; 宁波大学王宽诚幸福基金项目. 第一作者: 丁圆圆（1987－）, 男, 浙江上虞人, 在读硕士研究生, 主要研究方向: 冲击动力学. E-mail: dingyuanyuan2@126.com *通讯作者: 王礼立（1934－）, 男, 浙江宁波人, 博导/教授, 主要研究方向: 冲击动力学. E-mail: wanglili@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
