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不同功能梯度压电压磁层状介质中共线界面裂纹的动态性能分析

张培伟 周振功 王彪

张培伟, 周振功, 王彪. 不同功能梯度压电压磁层状介质中共线界面裂纹的动态性能分析[J]. 应用数学和力学, 2007, 28(5): 551-560.
引用本文: 张培伟, 周振功, 王彪. 不同功能梯度压电压磁层状介质中共线界面裂纹的动态性能分析[J]. 应用数学和力学, 2007, 28(5): 551-560.
ZHANG Pei-wei, ZHOU Zhen-gong, WANG Biao. Dynamic Behavior of Two Collinear Interface Cracks Between Two Dissimilar Functionally Graded Piezoelectric/Piezomagnetic Material Strips[J]. Applied Mathematics and Mechanics, 2007, 28(5): 551-560.
Citation: ZHANG Pei-wei, ZHOU Zhen-gong, WANG Biao. Dynamic Behavior of Two Collinear Interface Cracks Between Two Dissimilar Functionally Graded Piezoelectric/Piezomagnetic Material Strips[J]. Applied Mathematics and Mechanics, 2007, 28(5): 551-560.

不同功能梯度压电压磁层状介质中共线界面裂纹的动态性能分析

基金项目: 国家自然科学基金资助项目(10572043;10572155);黑龙江省杰出青年基金资助项目(JC04-08)
详细信息
    作者简介:

    张培伟(1980- ),男,江苏徐州人,博士(联系人.Tel:+86-451-86402396;Fax:+86-451-86402386;E-mail:zhouzhg@hit.edu.cn).

  • 中图分类号: O345.41

Dynamic Behavior of Two Collinear Interface Cracks Between Two Dissimilar Functionally Graded Piezoelectric/Piezomagnetic Material Strips

  • 摘要: 对不同功能梯度压电压磁层状介质中,共线界面裂纹对简谐应力波作用下的动态问题,进行了分析.经Fourier变换,使问题的求解转换为求解以裂纹面上位移间断为未知量的三重对偶积分方程,三重对偶方程可以采用Schmidt方法来求解,进而分析了功能梯度参数、入射波频率和层状介质厚度对应力、电位移和磁通量强度因子的影响.
  • [1] Sih G C, Song Z F.Magnetic and electric poling effects associated with crack growth in BaTiO3-CoFe2O4 composite[J].Theoretical and Applied Fracture Mechanics,2003,39(2):209-227. doi: 10.1016/S0167-8442(03)00003-X
    [2] Gao C F, Tong P,Zhang T Y.Interfacial crack problems in magneto-electroelastic solids[J].International Journal of Engineering Science,2003,41(18):2105-2121. doi: 10.1016/S0020-7225(03)00206-4
    [3] Liu J X, Liu X L, Zhao Y B.Green's functions for anisotropic magnetoelectroelastic solids with an elliptical cavity or a crack[J].International Journal of Engineering Science,2001,39(12):1405-1418. doi: 10.1016/S0020-7225(01)00005-2
    [4] Jin D R.Functionally graded PZT/ZnO piezoelectric composites[J].Journal of Materials Science Letters,2003,22(5):971-974. doi: 10.1023/A:1024612929936
    [5] Chen J, Liu Z X, Zou Z Z.Electriomechanical impact of a crack in functionally graded piezoelectric medium[J].Theoretical and Applied Fracture Mechanics,2003,39(1):47-60. doi: 10.1016/S0167-8442(02)00137-4
    [6] Li C Y, Weng G J.Antiplane crack problem in functionally graded piezoelectric materials[J].Journal of Applied Mechanics,2002,69(4):481-488. doi: 10.1115/1.1467091
    [7] ZHOU Zhen-gong, WANG Biao.Two parallel symmetry permeable cracks in functionally graded piezoelectric/piezomagnetic materials under anti-plane shear loading[J].International Journal of Solids and Structures,2004,41(9):4407-4422. doi: 10.1016/j.ijsolstr.2004.03.004
    [8] ZHOU Zhen-gong, WU Lin-zhi, WANG Biao, The behavior of a crack in functionally graded piezoelectric/piezomagnetic materials under anti-plane shear loading[J].Archive of Applied Mechanics,2005,74(8):526-535.
    [9] Morse P M, Feshbach H.Methods of Theoretical Physics[M].Vol 1,New York:McGraw-Hill,1958.
    [10] Soh A K, Fang D N,Lee K L.Analysis of a bi-piezoelectric ceramic layer with an interfacial crack subjected to anti-plane shear and in-plane electric loading[J].European Journal of Mechanics. A/Solid,2000,19(7):961-977. doi: 10.1016/S0997-7538(00)01107-4
    [11] Ozturk M, Erdogan F.Mode I crack problem in an inhomogeneous orthotropic medium[J].International Journal of Engineering Science,1997,35(3):869-883.
    [12] Gradshteyn I S,Ryzhik I M.Table of Integral, Series and Products[M].New York:Academic Press,1980.
    [13] Erdelyi A.Tables of Integral Transforms[M].Vol 1.New York:McGraw-Hill,1954.
    [14] 周振功,王彪.压电压磁复合材料中一对平行裂纹对弹性波的散射[J].应用数学和力学,2006,27(5):519-526.
    [15] 周振功,王彪.压电压磁复合材料中界面裂纹对弹性波的散射[J].应用数学和力学,2005,26(1):16-24.
    [16] 周振功,王彪.利用Schmidt方法研究压电材料Ⅰ-型界面裂纹问题[J].应用数学和力学,2006,27(7): 765-774.
    [17] 李琳, 周振功,王彪.条状功能梯度材料中偏心裂纹对反平面简谐波的散射问题[J].应用数学和力学,2006,27(6):646-654.
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出版历程
  • 收稿日期:  2006-11-20
  • 修回日期:  2007-01-25
  • 刊出日期:  2007-05-15

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