Non-local theory solution of a limited-permeable mode-I crack in a piezoelectric/piezomagnetic material plane

被引：0

作者：

Zhou, Zhen-Gong ^{[1
]}

Zhang, Pei-Wei ^{[2
]}

Wu, Lin-Zhi ^{[1
]}

机构：

[1] Harbin Inst Technol, Ctr Composite Mat & Struct, Harbin 150080, Peoples R China

[2] Southeast Univ, Sch Civil Engn, Dept Engn Mech, Nanjing 210096, Peoples R China

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2011年 / 91卷 / 03期

基金：

高等学校博士学科点专项科研基金; 中国国家自然科学基金;

关键词：

Piezoelectric/piezomagnetic media; limited-permeable crack; non-local theory; Schmidt method; lattice parameter; PIEZOELECTRIC MATERIALS; MAGNETOELECTROELASTIC SOLIDS; FRACTURE-MECHANICS; LINE CRACK; COLLINEAR CRACKS; GENERAL-SOLUTION; ANTIPLANE SHEAR; ELASTICITY; COMPOSITE; DEFORMATION;

D O I：

10.1002/zamm.201000071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The non-local theory solution of a limited-permeable mode-I crack in a piezoelectric/piezomagnetic media was given by using the generalized Almansi's theorem and the Schmidt method in the present paper. The problem was formulated through Fourier transform into two pairs of dual integral equations, in which the unknown variables are the displacement jumps across the crack surfaces. To solve the dual integral equations, the displacement jumps across the crack surfaces were directly expanded as a series of Jacobi polynomials. Numerical examples were provided to show the effects of the lattice parameter, the crack length, the electric permittivity, and the magnetic permeability of the air inside the crack on the stress field, the electric displacement field, and the magnetic field near the crack tip. Different from the classical solution that the present solution exhibits no stress, electric displacement, and magnetic flux singularities at the crack tips in a piezoelectric/piezomagnetic media. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：192 / 213

页数：22

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