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采用新方法研究加层压电材料中平行界面共线双裂纹的断裂问题

周振功 王彪

周振功, 王彪. 采用新方法研究加层压电材料中平行界面共线双裂纹的断裂问题[J]. 应用数学和力学, 2003, 24(1): 1-11.
引用本文: 周振功, 王彪. 采用新方法研究加层压电材料中平行界面共线双裂纹的断裂问题[J]. 应用数学和力学, 2003, 24(1): 1-11.
ZHOU Zhen-gong, WANG Biao. Investigation of the Dynamic Behavior of Two Collinear Anti-Plane Shear Cracks in a Piezoelectric Layer Bonded to Two Half Spaces by a New Method[J]. Applied Mathematics and Mechanics, 2003, 24(1): 1-11.
Citation: ZHOU Zhen-gong, WANG Biao. Investigation of the Dynamic Behavior of Two Collinear Anti-Plane Shear Cracks in a Piezoelectric Layer Bonded to Two Half Spaces by a New Method[J]. Applied Mathematics and Mechanics, 2003, 24(1): 1-11.

采用新方法研究加层压电材料中平行界面共线双裂纹的断裂问题

基金项目: 国家自然科学基金资助项目(10172030);国家自然科学基金重点资助项目(50232030)
详细信息
    作者简介:

    周振功(1963- ),河南镇平县人,教授,博士,博导(E-mail:zhouzhg@hope.hit.edu.cn).

  • 中图分类号: O345.51

Investigation of the Dynamic Behavior of Two Collinear Anti-Plane Shear Cracks in a Piezoelectric Layer Bonded to Two Half Spaces by a New Method

  • 摘要: 利用新的方法(Schmidt方法)研究加层压电材料中含共线并与材料界面平行的双裂纹在稳态弹性波作用下的动态问题,经富立叶变换使问题的求解转换为求解两对三重对偶积分方程.这些方程可以采用Schmidt方法来求解,这个方法不同与以前求解所利用的方法.结果表明应力强度因子不仅与裂纹的几何尺寸、入射波频率、加层厚度有关,而且与材料性质有关.
  • [1] Deeg W E F.The analysis of dislocation,crack and inclusion problems in piezoelectric solids[D].Ph D thesis,Stanford University,1980.
    [2] Pak Y E.Crack extension force in a piezoelectric material[J].Journal of Applied Mechanics,1990,57(4):647-653.
    [3] Pak Y E.Linear electro-elastic fracture Mechanics of piezoelectric materials[J].International Journal of Fracture,1992,54(1):79-100.
    [4] Sosa H A,Pak Y E.Three-dimensional eigenfunction analysis of a crack in a piezoelectric ceramics[J].International Journal of Solids and Structures,1990,26(1):1-15.
    [5] Sosa H A.Plane problems in piezoelectric media with defects[J].International Journal of Solids and Structures,1991,28(4):491-505.
    [6] Sosa H A.On the fracture mechanics of piezoelectric solids[J].International Journal of Solids and Structures,1992,29(8):2613-2622.
    [7] Suo Z,Kuo C M,Barnett D M,et al.Fracture mechanics for piezoelectric ceramics[J].Journal of Mechanics and Physics of Solids,1992,40(5):739-765.
    [8] Park S B,Sun C T.Fracture criteria for piezoelectric ceramics[J].Journal of American Ceramics Society,1995,78(7):1475-1480.
    [9] Zhang T Y,Tong P.Fracture mechanics for a mode Ⅲ crack in a piezoelectric material[J].International Journal of Solids and Structures,1996,33(5):343-359.
    [10] Gao H,Zhang T Y,Tong P.Local and global energy rates for an elastically yielded crack in piezoelectric ceramics[J].Journal of Mechanics and Physics of Solids,1997,45(4):491-510.
    [11] WANG Biao.Three dimensional analysis of a flat elliptical crack in a piezoelectric materials[J].International Journal of Enginerring,1992,30(6):781-791.
    [12] Narita K,Shindo Y.Scattering of Love waves by a surface-breaking crack in piezoelectric layered media[J].JSME International Journal,Series A,1998,41(1):40-52.
    [13] Narita K,Shindo Y.Scattering of anti-plane shear waves by a finite crack in piezoelectric laminates[J].Acta Mechanica,1999,134(1):27-43.
    [14] ZHOU Zhen-gong,WANG Biao,CAO Mao-sheng.Analysis of two collinear cracks in a piezoelectric layer bonded to dissimilar half spaces subjected to anti-plane shear[J].European Journal of Mechanics A/Solids,2001,20(2):213-226.
    [15] YU Shou-wen,CHEN Zeng-tiao.Transient response of a cracked infinite piezoelectric strip under anti-plane impact[J].Fatigue and Engineering Materials and Structures,1998,21(4):1381-1388.
    [16] CHEN Zeng-tiao,Karihaloo B L.Dynamic response of a cracked piezoelectric ceramic under arbitrary electro-mechanical impact[J].International Journal of Solids and Structures,1999,36(5):5125-5133.
    [17] Paul H S,Nelson V K.Axisymmetric vibration of piezo-composite hollow circular cylinder[J].Acta Mechanica,1996,116(5):213-222.
    [18] Khutoryansky N M,Sosa H.Dynamic representation formulas and fundamental solutions for piezoelectricity[J].International Journal of Solids and Structures,1995,32(8):3307-3325.
    [19] Shindo Y,Katsura H,Yan W.Dynamic stress intensity factor of a cracked dielectric medium in a uniform electric field[J].Acta Mechanica,1996,117(1):1-10.
    [20] Narita K,Shindo Y,Watanabe K.Anti-plane shear crack in a piezoelectric layered to dissimilar half spaces[J].JSME International Journal,Series A,1999,42(1):66-72.
    [21] Tauchert T R.Cylindrical bending of hybrid laminates under thermo-electro-mechanical loading[J].Journal of Thernal Stresses,1996,19(4):287-296.
    [22] Lee J S,Jiang L Z.Exact electro-elastic analysis of piezoelectric laminate via state space approach[J].International Journal of Solids and Structures,1996,33(4):977-985.
    [23] Tang Y Y,Noor A K,Xu K.Assessment of computational models for thermoelectroelastic multilayered plates[J].Computers and Structures,1996,61(6):915-924.
    [24] Batra R C,Liang X Q.The vibration of a rectangular laminated elastic plate with embedded piezoelectric sensors and actuators[J].Computer and Structures,1997,63(4):203-212.
    [25] Heyliger P.Exact solutions for simply supported laminated piezoelectric plates[J].ASME Journal of Applied Mechanics,1997,64(4):299-313.
    [26] Shindo Y,Domon W,Narita F.Dynamic bending of a symmetric piezoelectric laminated plate with a through crack[J].Theoretical and Applied Fracture Mechanics,1998,28(2):175-184.
    [27] Morse P M,Feshbach H.Methods of Theoretical Physics[M].Vol 1.New York:McGraw-Hill,1958,828-929.
    [28] Gradshteyn I S,Ryzhik I M.Table of Integral,Series and Products[M].New York:Academic Press,1980,980-997.
    [29] Erdelyi A.Tables of Integral Transforms[M].Vol 1.New York:McGraw-Hill,1954,38-95.
    [30] Keer L M,Luong W C.Diffraction of waves and stress intensity factors in a cracked layered composite[J].Journal of the Acoustical Society of America,1974,56(5):1681-1686.
    [31] Amemiya A,Taguchi T.Numerical Analysis and Fortran[M].Tokyo:Maruzen,1969.
    [32] Itou S.Three dimensional waves propagation in a cracked elastic solid[J].ASME Journal of Applied Mechanics,1978,45(2):807-811.
    [33] Itou S.Three dimensional problem of a running crack[J].International Journal of Engineering Science,1979,17(7):59-71.
    [34] ZHOU Zheng-gong,HAN Jie-cai,DU Shan-yi.Two collinear Griffith cracks subjected to uniform tension in infinitely long strip[J].International Journal of Solids and Structures,1999,36(4):5597-5609.
    [35] ZHOU Zhen-gong,HAN Jie-cai,DU Shan-yi.Investigation of a Griffith crack subject to anti-plane shear by using the non-local theory[J].International Journal of Solids and Structures,1999,36(3):3891-3901.
    [36] 周振功,王彪.采用新方法研究非局部理论中Ⅰ-型裂纹的断裂问题[J].应用数学和力学,1999,20(10):1025-1032.
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出版历程
  • 收稿日期:  2001-07-19
  • 修回日期:  2002-07-20
  • 刊出日期:  2003-01-15

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