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弹性应力波的双脉冲结构与平板冲击试验验证

刘占芳 郭原 唐少强 黄心嘉 庄茁

刘占芳, 郭原, 唐少强, 黄心嘉, 庄茁. 弹性应力波的双脉冲结构与平板冲击试验验证[J]. 应用数学和力学, 2018, 39(3): 249-265. doi: 10.21656/1000-0887.380324
引用本文: 刘占芳, 郭原, 唐少强, 黄心嘉, 庄茁. 弹性应力波的双脉冲结构与平板冲击试验验证[J]. 应用数学和力学, 2018, 39(3): 249-265. doi: 10.21656/1000-0887.380324
LIU Zhanfang, GUO Yuan, TANG Shaoqiang, HUANG Xinjia, ZHUANG Zhuo. Dual Pulse Wave Structure of Elastic Stress Waves and Plate Impact Verification[J]. Applied Mathematics and Mechanics, 2018, 39(3): 249-265. doi: 10.21656/1000-0887.380324
Citation: LIU Zhanfang, GUO Yuan, TANG Shaoqiang, HUANG Xinjia, ZHUANG Zhuo. Dual Pulse Wave Structure of Elastic Stress Waves and Plate Impact Verification[J]. Applied Mathematics and Mechanics, 2018, 39(3): 249-265. doi: 10.21656/1000-0887.380324

弹性应力波的双脉冲结构与平板冲击试验验证

doi: 10.21656/1000-0887.380324
基金项目: 国家自然科学基金(11372365;11072276;11176035)
详细信息
    作者简介:

    刘占芳(1963—),男,教授,博士(通讯作者. E-mail: zhanfang@cqu.edu.cn).

  • 中图分类号: O347.4

Dual Pulse Wave Structure of Elastic Stress Waves and Plate Impact Verification

Funds: The National Natural Science Foundation of China(11372365;11072276;11176035)
  • 摘要: 对传统弹性应力波理论以及平板冲击下的应力波传播提出了重要修正.现有的弹性应力波理论在旋转运动以及与内力的对应关系、波动方程等方面存在理论缺失和不完备性.提出弹性体存在体积波和偏斜波,体积波可独立传播但偏斜波受体积波的影响,两种波构成一个弱耦合波系.平板冲击应为三维应变状态,体应变和偏应变两个波动变量依然保持二阶张量状态,但独立的波动变量可简化为一个体应变和一个偏斜主应变,波动方程简化为关于两个波动变量的弱耦合波动方程组.应力波的界面效应涉及了冲击加载面上应力波的激发和应力波在自由面上的反射,建立了加载面和自由面上边界条件与波动变量的依赖关系.冲击加载面上同时激发出体积波和偏斜波,但体积波与部分偏斜波组成一个以较快速度传播的复合脉冲,剩余偏斜波形成另一个以较慢速度传播的偏斜脉冲.两个入射脉冲在自由面上分别反射回来结构相同的复合脉冲和偏斜脉冲,即形成4个反射脉冲的传播.应力波的双脉冲结构与平板撞击下试件自由面速度的二次压缩现象是一致的,10发不同厚度的氧化铝平板冲击试验测得的二次压缩信号验证了偏斜脉冲的理论预测.
  • [1] REEDMAN J H, PHIL M. Techniques in Mineral Exploration [M]. London: Applied Science Publishers, 1979: 229-321.
    [2] 宁建国, 王成, 马天宝. 爆炸与冲击动力学[M]. 北京: 国防工业出版社, 2010.(NING Jianguo, WANG Cheng, MA Tianbao.Explosion Mechanics and Impact Dynamics [M]. Beijing: National Defense Industry Press, 2010.(in Chinese))
    [3] 宁建国, 宋卫东, 任会兰, 等. 冲击载荷作用下材料与结构的响应与防护[J]. 固体力学学报, 2010,31(5): 532-552.(NING Jianguo, SONG Weidong, REN Huilan, et al. Response and protection of materials and structures under impact loadings[J]. Chinese Journal of Solid Mechanics,2010,31(5): 532-552.(in Chinese))
    [4] 周锡元, 吴育才. 工程抗震的新发展[M]. 广州: 暨南大学出版社, 2002.(ZHOU Xiyuan, WU Yucai. New Development of Earthquake Resistant Engineering [M]. Guangzhou: Jinan University Press, 2002.(in Chinese))
    [5] 廖振鹏. 工程波动理论导论[M]. 2版. 北京:科学出版社, 2002.(LIAO Zhenpeng. Introduction to Wave Motion Theories in Engineering [M]. 2nd ed. Beijing: Science Press, 2002.(in Chinese))
    [6] FENG Qian, KONG Qingzhao, SONG Gangbing. Damage detection of concrete piles subject to typical damage types based on stress wave measurement using embedded smart aggregates transducers[J]. Measurement,2016,88: 345-352.
    [7] 徐芝纶. 弹性力学[M]. 4版. 北京: 高等教育出版社, 2006.(XU Zhilun. Elastic Mechanics [M]. 4th ed. Beijing: Higher Education Press, 2006.(in Chinese))
    [8] ACHENBACH J D. Wave Propagation in Elastic Solids [M]. New York: North-Holland Publishing Company, 1973: 64-70.
    [9] GRAFF K F. Wave Motion in Elastic Solids [M]. London: Oxford University Press, 1975: 50-64.
    [10] 吴家龙. 弹性力学[M]. 2版. 北京: 高等教育出版社, 2001: 299.(WU Jialong. Elastic Mechanics [M]. 2nd ed. Beijing: Higher Education Press, 2001: 299.(in Chinese))
    [11] 王礼立. 应力波基础[M]. 2版. 北京: 国防工业出版社, 2005: 35-37.(WANG Lili. The Foundation of Stress Wave [M]. 2nd ed. Beijing: National Defense Industry Press, 2005: 35-37.(in Chinese))
    [12] MEYERS M A. Dynamic Behavior of Materials [M]. New York: Wiley-Interscience Publication, 1994: 25-28.
    [13] KOLSKI H. Stress Waves in Solids [M]. New York: Dover Publications Inc, 1963.
    [14] 李永池. 波动力学[M]. 合肥: 中国科学技术大学出版社, 2015.(LI Yongchi. Wave Dynamics [M]. Hefei: Press of University of Science and Technology of China, 2015.(in Chinese))
    [15] 杨桂通, 张善元. 弹性动力学[M]. 北京: 中国铁道出版社, 1988: 73-75.(YANG Guitong, ZHANG Shanyuan. Elastodynamics [M]. Beijing: Chinese Railway Press, 1988: 73-75.(in Chinese))
    [16] 颜世军, 刘占芳. 修正的偶应力线弹性理论及广义线弹性体的有限元方法[J]. 固体力学学报, 2012,33(3): 279-287.(YAN Shijun, LIU Zhanfang. A modified couple stress linear elasticity and finite element method for generalized elastic bodies[J]. Chinese Journal of Solid Mechanics,2012,33(3): 279-287.(in Chinese))
    [17] LIU Zhanfang, FU Zhi. Scale effects of the stress symmetry in generalized elasticity[J]. International Journal of Aerospace and Lightweight Structures,2012,2(4): 509-521.
    [18] 黄克智, 薛明德, 陆明万. 张量分析[M]. 2版. 北京: 清华大学出版社, 2003: 73.(HUANG Kezhi, XUE Mingde, LU Mingwan. Tensor Analysis [M]. 2nd ed. Beijing: Tsinghua University Press, 2003: 73.(in Chinese))
    [19] MINDLIN R D, TIERSTEN H F. Effects of couple-stresses in linear elasticity[J]. Archive for Rational Mechanics and Analysis,1962,11(1): 415-448.
    [20] LIU Zhanfang, SUN Xiaoyong, GUO Yuan. On elastic stress waves in an impacted plate[J]. International Journal of Applied Mechanics,2014,6(4): 145-163.
    [21] 经福谦. 实验物态方程导引[M]. 2版. 北京: 科学出版社, 1999.(JIN Fuqian. Introduction of Experimental Equation of State [M]. 2nd ed. Beijing: Science Press, 1999.(in Chinese))
    [22] GRADY D E, MOODY R L. Shock compression profiles in ceramics[R]. United States, 1996.
    [23] 格拉汉姆 R A. 固体的冲击波压缩: 力学、物理和化学[M]. 贺红亮, 译. 北京:科学出版社, 2010.(GRAHAM R A. Solids Under High-Pressure Shock Compression: Mechanics, Physics and Chemistry [M]. HE Hongliang, transl. Beijing: Science Press, 2010.(Chinese version))
    [24] 王礼立, 胡时胜, 杨黎明, 等. 材料动力学[M]. 合肥: 中国科学技术大学出版社, 2017.(WANG Lili, HU Shisheng, YANG Liming, et al. Material Dynamics [M]. Hefei: Press of University of Science and Technology of China, 2017.(in Chinese))
    [25] TRUESDELL C, NOLL W. The Non-Linear Field Theories of Mechanics [M]. Berlin: Springer-Verlag, 2004.
    [26] 范镜泓. 非线性连续介质力学基础[M]. 重庆: 重庆大学出版社, 1987: 35-52.(FAN Jinghong. Nonlinear Continuum Mechanics Theory [M]. Chongqing: Chongqing University Press, 1987: 35-52.(in Chinese))
    [27] 刘占芳, 冯晓伟, 张凯, 等. 氧化铝陶瓷动态压缩强度的高压和高应变率效应[J]. 功能材料, 2010,41(12): 2087-2090.(LIU Zhanfang, FENG Xiaowei, ZHANG Kai, et al. Effects of high pressure and high strain rate on dynamic compressive strength of alumina[J]. Journal of Functional Materials,2010,41(12): 2087-2090.(in Chinese))
    [28] RAJENDRAN A M, DANDEKAR D P. Inelastic response of alumina[J]. International Journal of Impact Engineering,1995,17: 649-660.
    [29] KANEL G I, RAZORENOV S V, SAYINYKH A S, et al. A study of failure wave phenomenon in glasses compressed at different levels[J]. Journal of Applied Physics,2005,98(11): 113523. DOI: 10.1063/1.2139829.
    [30] RAISER G F, WISE J L, CLIFTON R J, et al. Plate impact response of ceramics and glasses[J]. Journal of Applied Physics,1994,75(8): 3862. DOI: 10.1063/1.356066.
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出版历程
  • 收稿日期:  2017-12-15
  • 修回日期:  2018-01-09
  • 刊出日期:  2018-03-15

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