THE BASIC SOLUTION OF A 3-D RECTANGULAR PERMEABLE CRACK IN A PIEZOELECTRIC/PIEZOMAGNETIC COMPOSITE MATERIAL

The solution of a 3-D rectangular permeable crack in a piezoelectric/piezomagnetic composite material was investigated by using the generalized Almansi＇s theorem and the Schmidt method.The problem was formulated through Fourier transform into three pairs of dual integral equations,in which the unkno...

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Bibliographic Details
Published in:Acta mechanica solida Sinica 2013-08, Vol.26 (4), p.403-418
Main Authors: Tang, Yuling, Zhou, Zhengong, Wu, Linzhi
Format: Article
Language:English
Subjects:
3-D
Classical Mechanics
Composite materials
Cracks
Displacement
Engineering
Fourier transforms
Integral equations
Magnetic flux
mechanics of solids
piezoelectric/piezomagnetic media
Piezoelectricity
Polynomials
rectangular crack
Schmidt方法
Stresses
Surfaces and Interfaces
Theoretical and Applied Mechanics
Thin Films
压电
基本解
复合材料
对偶积分方程
渗透
矩形裂纹
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Summary:The solution of a 3-D rectangular permeable crack in a piezoelectric/piezomagnetic composite material was investigated by using the generalized Almansi＇s theorem and the Schmidt method.The problem was formulated through Fourier transform into three 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.Finally,the relations between the electric filed,the magnetic flux field and the stress field near the crack edges were obtained and the effects of the shape of the rectangular crack on the stress,the electric displacement and magnetic flux intensity factors in a piezoelectric/piezomagnetic composite material were analyzed.
ISSN:0894-9166
1860-2134
DOI:10.1016/S0894-9166(13)60036-1