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THE BEHAVIOR OF TWO PARALLEL SYMMETRIC PERMEABLE CRACKS IN PIEZOELECTRIC MATERIALS
引用本文:周振功,王彪. THE BEHAVIOR OF TWO PARALLEL SYMMETRIC PERMEABLE CRACKS IN PIEZOELECTRIC MATERIALS[J]. 应用数学和力学(英文版), 2002, 23(12): 1357-1366. DOI: 10.1007/BF02438375
作者姓名:周振功  王彪
作者单位:PO Box 2147,Center for Composite Materials and Electro-Optics Research Center Harbin Institute of Technology,PO Box 2147,Center for Composite Materials and Electro-Optics Research Center Harbin Institute of Technology Harbin 150001,P R China,Harbin 150001,P R China
基金项目:theNationalNaturalScienceFoundationforExcellentYoungInvestigators( 1 972 52 0 9),theNaturalScienceFoundationofHeilongjiangProvince,thePostDoctoralScienceFoundationofHeilongjiangProvince
摘    要:IntroductionItiswell_knownthatpiezoelectricmaterialsproduceanelectricfieldwhendeformedandundergodeformationwhensubjectedtoanelectricfield .Thecouplingnatureofpiezoelectricmaterialshasattractedwideapplicationsinelectric_mechanicalandelectricdevices,suc…

收稿时间:2001-07-19

The behavior of two parallel symmetric permeable cracks in piezoelectric materials
Zhou Zhen-gong Professor, Doctor,Wang Biao. The behavior of two parallel symmetric permeable cracks in piezoelectric materials[J]. Applied Mathematics and Mechanics(English Edition), 2002, 23(12): 1357-1366. DOI: 10.1007/BF02438375
Authors:Zhou Zhen-gong Professor   Doctor  Wang Biao
Affiliation:P O Box 2147, Center for Composite Materials and Electro-Optics Research Center,Harbin Institute of Technology, Harbin 150001, P R China
Abstract:The behavior of two parallel symmetric cracks in piezoelectric materials under anti_plane shear loading was studied by the Schmidt method for the permeable crack face conditions. By using the Fourier transform, the problem can be solved with two pairs of dual integral equations in which the unknown variable is the jump of the diplacement across the crack surfaces. These equations were solved using the Schmidt method. The results show that the stress and the electric displacement intensity factors of cracks depend on the geometry of the crack.Contrary to the impermeable crack surface condition solution, it is found that the electric displacement intensity factors for the permeable crack surface conditions are much smaller than the results for the impermeable crack surface conditions.
Keywords:piezoelectric material  parallel crack  Schmidt method  dual_integral equation  stress and electric displacement  intensity factors
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