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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.
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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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