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

作　　者：Yuling Tang Zhengong Zhou Linzhi Wu 

机构地区：[1]Center for Composite Materials and Structures,Harbin Institute of Technology

出　　处：《Acta Mechanica Solida Sinica》2013年第4期403-418,共16页固体力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.11272105 and 11222216);the NaturalScience Foundation with Excellent Young Investigators of Heilongjiang Province(No.JC04-08);the Research Fund for theDoctoral Program of Higher Education of China(No.20092302110006);the Natural Science Foundation of HeilongjiangProvince(No.A2007-05)

摘　　要：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.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.

关 键 词：piezoelectric/piezomagnetic media rectangular crack mechanics of solids 

分 类 号：TB33[一般工业技术—材料科学与工程]