Two-scale finite element method for piezoelectric problem in periodicstructure

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Two-scale finite element method for piezoelectric problem in periodicstructure

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;|z_:O8L[0Abstract:The prediction of the mechanical and electric properties of piezoelectric fibre composites has become an active research area in recent years.By means of introducing a boundary layer problem,some new kinds of two-scale finite element methods for solutions to the electric potential and the displacement for composite material in periodic structure under the coupled piezoelectricity are derived.The coupled two-scale relation of the electric potential and the displacement is set up,and some finite element approximate estimates and numerical examples which show the effectiveness of the method are presented.

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作者:

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Znr8gp5j+Z9GY0邓明香冯永平

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Author:

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Ming-xiang DENG Yong-ping FENG

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作者单位:

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'O-@ qH,E1V rz R0College of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, P. R. China

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期 刊:

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应用数学和力学(英文版)

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,J g ?)m6f"i7~0Journal:水利论文7NA*z(qn

HF.H$I:o:r-i0Applied Mathematics and Mechanics

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]|!n)GTA0年,卷(期):

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2011, 32(12)水利论文*G ^5R@)_ C

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分类号:

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O241.82 O242.21 O482.41

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hC@rn {:L"Q8z)Y4V0Keywords:水利论文E"rh%HU

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two-scale method

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\1ctE_0piezoelectricity水利论文7N8aq7Dm2Gf w

+d+Re,K(my9s+b0periodic structure

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finite element method水利论文S?}|*I{5v;}'G

j4ht'g[u`0homogenization constant

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机标分类号:水利论文!d q8~4yW ]+e9?{

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5wrI b8c3I"Yp7j0机标关键词:

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&iUW1_`,wvM0electric potential finite element electric properties periodic structure composite material fibre composites boundary layer effectiveness methods for solutions research active means area set new水利论文|b+b*Xw7DD6O"c%?:\7\

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基金项目:水利论文f4c/|\ w2_q~n

;P6N'VH KS%R0the National Natural Science Foundation of China,the Specialized Research Fund for the Doctoral Program of Higher Education of China

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