Propagation of Slip Pulse Along a Frictionless Contact Interface With Local Separation Between Two Piezoelectric Solids
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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.Abstract: The Stroh formalism of piezoelectric materials, Fourier analysis and singular integral equation technique were used to investigate the existence of a pulse at the frictionless interface in presence of local separation between two contact piezoelectric solids. The two solids were pressed together by uniaxial tractions and laid in the electric field. The problem was cast into a set of Cauchy singular integral equations of which the closedform solutions were derived. The numerical discussion on the existence of such a slip pulse was presented. The results show that such a slip pulse, which has squareroot singularities at both ends of the local separation zone, can propagate in most material combinations. And the existence of such a slip pulse will not be affected by the applied mechanical and electric fields in some special material combinations.
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Key words:
- piezoelectric material /
- slip pulse /
- Stroh formalism /
- singular integral equation /
- interface
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[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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