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压电体光滑接触界面有局部分离时的滑移脉冲波传播

白玉柱 汪越胜 于桂兰

白玉柱, 汪越胜, 于桂兰. 压电体光滑接触界面有局部分离时的滑移脉冲波传播[J]. 应用数学和力学, 2007, 28(9): 1095-1101.
引用本文: 白玉柱, 汪越胜, 于桂兰. 压电体光滑接触界面有局部分离时的滑移脉冲波传播[J]. 应用数学和力学, 2007, 28(9): 1095-1101.
BAI Yu-zhu, WANG Yue-sheng, YU Gui-lan. Propagation of Slip Pulse Along a Frictionless Contact Interface With Local Separation Between Two Piezoelectric Solids[J]. Applied Mathematics and Mechanics, 2007, 28(9): 1095-1101.
Citation: BAI Yu-zhu, WANG Yue-sheng, YU Gui-lan. Propagation of Slip Pulse Along a Frictionless Contact Interface With Local Separation Between Two Piezoelectric Solids[J]. Applied Mathematics and Mechanics, 2007, 28(9): 1095-1101.

压电体光滑接触界面有局部分离时的滑移脉冲波传播

基金项目: 国家自然科学基金资助项目(10372001)
详细信息
    作者简介:

    白玉柱(1976- ),男,河北邯郸人,博士生(E-mail:yuzhubai2008@126.com);汪越胜(1965- ),教授(联系人.Tel:+86-10-51688417;E-mail:yswang@center.njtu.edu.cn).

  • 中图分类号: O347.4

Propagation of Slip Pulse Along a Frictionless Contact Interface With Local Separation Between Two Piezoelectric Solids

  • 摘要: 应用关于压电材料的Stroh方法以及Fourier分析和奇异积分方程技术,研究了压电体光滑接触界面有局部分离时的滑移脉冲波传播问题,分析了其存在的判据.压电体由单向压应力作用而光滑接触并处于一定强度的电场中.待求问题最终转化为含Cauchy核的奇异积分方程组,并给出其解析解.数值计算结果表明:光滑接触界面上有局部分离的滑移脉冲波普遍存在,且界面法向面力和法向电位移在局部分离区两端有奇异性;对某些特殊的材料组合,外载荷不影响滑移脉冲波的存在性.
  • [1] Mason W P.Piezoelectric Crystals and Their Application to Ultrasonics[M].New York:Van Nostrand, 1950.
    [2] Tiersten H F.Linear Piezoelectric Plate Vibrations[M].New York: Plenum,1969.
    [3] Auld B A.Acoustic Fields and Waves in Solid[M].New York: John Wiley, 1973.
    [4] Nayfeh A H.Wave Propagation in Layered Anisotropic Media[M].Amsterdam: Elsevier, 1995.
    [5] Comninou M,Dundurs J,Barber J R. Elastic interface waves involving separation[J].Journal of Applied Mechanics,1977,44(2):222-226. doi: 10.1115/1.3424028
    [6] Comninou M, Dundurs J. Elastic interface waves and sliding between two solids[J].Journal of Applied Mechanics, Transactions ASME,1978,45(2):325-330. doi: 10.1115/1.3424296
    [7] 汪越胜,于桂兰,章子茂,等.复杂界面(界面层)条件下的弹性波传播问题研究综述[J].力学进展,2000,30(3): 378-390.
    [8] Wang Y S, Dai H H, Yu G L.Non-linear interaction of an elastic pulse with a friction contact interface between two anisotropic dissimilar media[J].Journal of Vibration and Acoustics,2004,126(1):108-117. doi: 10.1115/1.1597212
    [9] Yu G L, Wang Y S. Slip pulse along an interface between two anisotropic elastic half-spaces in sliding contact with separation[J].Archive of Applied Mechanics,2006,75(4/5):210-219. doi: 10.1007/s00419-005-0400-y
    [10] 李楠,汪越胜,于桂兰.基于表面阻抗张量的界面滑移波动态失稳分析[J].应用数学和力学,2004,25(9):935-942.
    [11] Alshits V I, Barnett D M,Darinskii A N,et al.On the existence problem for localized acoustic waves on the interface between two piezocrystals[J]. Wave Motion,1994,20(3):233-244. doi: 10.1016/0165-2125(94)90049-3
    [12] Darinskii A N, Weihnacht M. Interface waves on the sliding contact between identical piezoelectric crystals of general anisotropy[J].Wave Motion,2005,43(1):67-77. doi: 10.1016/j.wavemoti.2005.06.001
    [13] Ting T C T.HAnisotropic Elasticity, Theory and Applications[M].New York: Oxford University Press, 1996.
    [14] Muskhelishvili N L.Singular Integral Equations[M].Noordhoff: Groningen, The Netherland,1958.
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出版历程
  • 收稿日期:  2006-11-03
  • 修回日期:  2007-07-27
  • 刊出日期:  2007-09-15

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