压电压磁复合材料中一对平行裂纹对弹性波的散射

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

周振功¹,
王彪²

1.
哈尔滨工业大学复合材料研究所,哈尔滨 150001;2.中山大学物理与工程学院,广州 510275

基金项目: 国家自然科学基金资助项目(50232030;10172030;10572043);黑龙江省杰出青年基金资助项目(JC04-08);黑龙江省自然科学基金资助项目(A0301)

详细信息

作者简介:
周振功(1963- ),河南省镇平县人,教授,博士,博士生导师(联系人:Tel:+86-45186402396;Fax:+86-451-86402386;E-mail:zhouzhg@hit.edu.cn).

中图分类号: O346.58
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- 文章访问数: 2936
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出版历程
- 收稿日期: 2004-07-31
- 修回日期: 2006-01-10
- 刊出日期: 2006-05-15

Dynamic Behavior of Two Parallel Symmetry Cracks in Magneto-Electro-Elastic Composites Under Harmonic Anti-Plane Waves

ZHOU Zhen-gong¹,
WANG Biao²

1.
Center for Composite Materials, Harbin Institute of Technology, Harbin 150001, P. R. China;

摘要

摘要: 利用Schmidt方法对压电压磁复合材料中一对平行对称裂纹对反平面简谐波的散射问题进行了分析，借助富里叶变换得到了以裂纹面上的间断位移为未知变量的对偶积分方程．在求解对偶积分方程的过程中，裂纹面上的间断位移被展开成雅可比多项式的形式，最终获得了应力强度因子、电位移强度因子、磁通量强度因子三者之间的关系．结果表明，压电压磁复合材料中平行裂纹动态反平面断裂问题的应力奇异性与一般弹性材料中的动态反平面断裂问题的应力奇异性相同，同时讨论了裂纹间的屏蔽效应．
- 压电压磁复合材料 /
- 裂纹 /
- 简谐波 /
- 对偶积分方程 /
- 强度因子
Abstract: The dynamic behavior of two parallel symmetry cracks in magneto-electro-elastic composites under harmonic anti-plane shear waves is studied by Schmidt method. By using the Fourier trans-form, the problem can be solved with a pair of dual integral equations in which the unknown variable is the jumps of the displacements across the crack surfaces. To solve the dual integral equations, the jumps of the displacements across the crack surface were expanded in a series of Jacobi polynomials. The relations among the electric filed, the magnetic flux and the stress field were obtained. From the results, it can be obtained that the singular stresses in piezoelectric/piezomagnetic materials carry the same forms as those in a general elastic material for the dynamic anti-plane shear fracture problem. The shielding effect of two parallel cracks was also discussed.
- magneto-electro-elastic composites /
- crack /
- harmonic waves /
- dual integral equations /
- intensity factor

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参考文献(15)

[1]	Wu T L，Huang J H.Closed-form solutions for the magnetoelectric coupling coefficients in fibrous composites with piezoelectric and piezomagnetic phases[J].International Journal of Solids and Structures,2000,37(21):2981—3009. doi: 10.1016/S0020-7683(99)00116-X
[2]	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(3):209—227.
[3]	Wang B L,Mai Y W.Crack tip field in piezoelectric/piezomagnetic media[J].European Journal of Mechanics A/Solid,2003,22(4):591—602. doi: 10.1016/S0997-7538(03)00062-7
[4]	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
[5]	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
[6]	Gao C F, Kessler H, Balke H.Crack problems in magnetoelectroelastic solids， Part Ⅰ:exact solution of a crack[J].International Journal of Engineering Science,2003,41(9):969—981. doi: 10.1016/S0020-7225(02)00323-3
[7]	Wang B L,Mai Y W.Fracture of piezoelectromagnetic materials[J].Mechanics Research Communications,2004,31(1):65—73. doi: 10.1016/j.mechrescom.2003.08.002
[8]	Van Suchtelen J.Product properties: a new application of composite materials[J].Phillips Research Reports,1972,27(1):28—37.
[9]	Morse P M, Feshbach H.Methods of Theoretical Physics[M].New York:McGraw-Hill,1958,926—940.
[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(10):961—977. doi: 10.1016/S0997-7538(00)01107-4
[11]	Gradshteyn I S, Ryzhik I M.Table of Integrals, Series and Products[M].New York:Academic Press,1980,1035—1037.
[12]	Erdelyi A.Tables of Integral Transforms[M].New York:McGraw-Hill,1954,34—89.
[13]	周振功，王彪.双Ⅰ-型裂纹断裂动力学问题的非局部理论解[J].应用数学和力学，2001,22(7):682—690.
[14]	周振功，王彪.压电材料中两平行对称可导通裂纹断裂性能分析[J].应用数学和力学，2002,23(12):1211—1219.
[15]	Ratwani M, Gupta G D.Interaction between parallel cracks in layered composites[J].International Journal of Solids and Structures,1974,10(7):701—708. doi: 10.1016/0020-7683(74)90034-1

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压电压磁复合材料中一对平行裂纹对弹性波的散射

作者简介:
周振功(1963- ),河南省镇平县人,教授,博士,博士生导师(联系人:Tel:+86-45186402396;Fax:+86-451-86402386;E-mail:zhouzhg@hit.edu.cn).

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Dynamic Behavior of Two Parallel Symmetry Cracks in Magneto-Electro-Elastic Composites Under Harmonic Anti-Plane Waves

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压电压磁复合材料中一对平行裂纹对弹性波的散射

作者简介: 周振功(1963- ),河南省镇平县人,教授,博士,博士生导师(联系人:Tel:+86-45186402396;Fax:+86-451-86402386;E-mail:zhouzhg@hit.edu.cn).

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Dynamic Behavior of Two Parallel Symmetry Cracks in Magneto-Electro-Elastic Composites Under Harmonic Anti-Plane Waves

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出版历程

目录

作者简介:
周振功(1963- ),河南省镇平县人,教授,博士,博士生导师(联系人:Tel:+86-45186402396;Fax:+86-451-86402386;E-mail:zhouzhg@hit.edu.cn).