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Laplace变换法研究SHPB实验中试件的黏弹性波传播问题

郑宇轩 陈亮 周风华 王礼立

郑宇轩, 陈亮, 周风华, 王礼立. Laplace变换法研究SHPB实验中试件的黏弹性波传播问题[J]. 力学学报, 2014, 46(6): 843-852. doi: 10.6052/0459-1879-14-002
引用本文: 郑宇轩, 陈亮, 周风华, 王礼立. Laplace变换法研究SHPB实验中试件的黏弹性波传播问题[J]. 力学学报, 2014, 46(6): 843-852. doi: 10.6052/0459-1879-14-002
Zheng Yuxuan, Chen Liang, Zhou Fenghua, Wang Lili. USING LAPLACE TRANSFORM TO SOLVE THE VISCOELASTIC WAVE PROBLEMS IN THE SHPB EXPERIMENTS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(6): 843-852. doi: 10.6052/0459-1879-14-002
Citation: Zheng Yuxuan, Chen Liang, Zhou Fenghua, Wang Lili. USING LAPLACE TRANSFORM TO SOLVE THE VISCOELASTIC WAVE PROBLEMS IN THE SHPB EXPERIMENTS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(6): 843-852. doi: 10.6052/0459-1879-14-002

Laplace变换法研究SHPB实验中试件的黏弹性波传播问题

doi: 10.6052/0459-1879-14-002
基金项目: 国家自然科学基金资助项目(11272163,11390361).
详细信息
    作者简介:

    周风华,研究员,主要研究方向:冲击动力学研究和断裂力学.

  • 中图分类号: O347.4

USING LAPLACE TRANSFORM TO SOLVE THE VISCOELASTIC WAVE PROBLEMS IN THE SHPB EXPERIMENTS

Funds: The project was supported by the National Natural Science Foundation of China (11272163, 11390361).
  • 摘要: 对分离式霍普金森压杆(split Hopkinson pressure bar, SHPB) 实验中试件的黏弹性波传播的控制方程组进行Laplace 变换,并结合恰当的初始-边界条件求解,得到变换域的应力、速度、应变等变量的像函数的精确表达式. 采用该方法处理SHPB 实验中涉及黏弹性试件内部应力非均匀性问题,并给出数值反变换解. 作为特例,对于弹性试件分别采用级数展开法和留数定理进行反Laplace 变换,从而给出弹性夹层介质中应力波传播问题的解析解.

     

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出版历程
  • 收稿日期:  2013-12-31
  • 修回日期:  2014-02-28
  • 刊出日期:  2014-11-18

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