期刊文献+

电磁弹性材料双周期裂纹反平面问题的精确解

An exact solution to the antiplane problem of doubly periodic cracks in magnetoelectroelastic materials
在线阅读 下载PDF
导出
摘要 研究含双周期裂纹的电磁弹性材料在远场反平面机械载荷和面内电磁载荷作用下的电磁弹性响应,利用椭圆函数理论和保角变换技术,获得电磁弹性场的精确解,推导裂纹尖端的应力强度因子、电位移强度因子和磁感应强度因子。算例分析表明,裂纹分布特征对材料断裂性能有重要的影响,场强因子对排间距和列间距存在着截然相反的依赖性。 An infinite magnetoelectroelastic solid containing a doubly periodic array of cracks under antiplane mechanical load and inplane magnetoelectric load is investigated. By using of the theory of double period function combined with the technique of conformal mapping, the exact solution is obtained. The stress intensity factor, electrical displacement intensity factor and magnetic induction intensity factor are given. It is found that crack distribution plays an important role in fracture behavior of materials. Field intensity factors show the contrary dependence on the stack and column spacings of the cracks.
出处 《兵器材料科学与工程》 CAS CSCD 2009年第1期17-20,共4页 Ordnance Material Science and Engineering
关键词 场强因子 电磁弹性材料 双周期分布 裂纹 field intensity factor magnetoelectroelastic materials doubly periodic array crack
  • 相关文献

参考文献11

  • 1Tan P,Tong L Y.Modeling for the electro-magneto-thermoelastic properties of piezoelectric-magnetic fiber reinforced composites[J].Composites,Part A,2002,33(5):631-645.
  • 2Gao C F,Hannes K,Herbert B.Crack problems in magmetoelectroelastic solids.Part I:exact solution of a crack[J].Inl J Eng Sci,2003,41:969-981.
  • 3Gao C F,Hannes K,Herbert B.Crack problems in magnetoelectroelastic solids.Part Ⅱ:general solution of collinear cracks[J].Int J Eng Sci,2003,41:983-994.
  • 4Tian W Y,Gabbert U.Multiple crack interaction problem in magnetoelectroelastic solids[J].European Journal of Mechanics A/Solids.2004.23:599-614.
  • 5胡克强,李国强,朱保兵.压电-压磁板条中反平面裂纹的电-磁-弹性分析[J].工程力学,2006,23(5):168-172. 被引量:9
  • 6郝天护.双周期反平面问题的一个闭合解.清华大学学报,1979,19(3):11-18.
  • 7loakimidis N I,Theocaris P S.Doubly-periodic array of cracks in an infinite isotropic medium[J].Journal of Elasticity,1978,8(2):157-169.
  • 8Pak Eugene Y,Elena Goloubeva.Electroelastic properties of cracked Diezoelectric materials under longitudinal shear[J].Mechanics of Materials,1996,24:287-303.
  • 9Fang Q H,Liu Y W,Jiang C P.On the interaction between a generalized screw dislocation and circular-arc interracial rigid lines in magnetoelectroelastic solids[J].Int J Engineering Science,2005,43:1011-1031.
  • 10拉甫伦捷夫M A,沙巴特B A.复变函数论方法[M].北京:高等教育出版社,1956:316-324.

二级参考文献10

  • 1Nan C W.Magnetoelectric effect in composites of piezoelectric and piezomagnetic phases[J].Phys.Rev.B,1994,B50:6082~6088.
  • 2Li J Y.Magnetoelectroelastic multi-inclusion and inhomogeneity problems and their applications in composite materials[J].Int.J.Eng.Sci,2000,38:1993~2011.
  • 3Wang X,Shen,Y P.Inclusions of arbitrary shape in magnetoelectroelastic composite materials[J].Int.J.Eng.Sci,2003,41:85~102.
  • 4Wang X,Zhong,Z.A circular tube or bar of cylindrically anisotropic magnetoelectro-elastic material under pressuring loading[J].Int.J.Eng.Sci,2003,41:2143~2159.
  • 5Gao C F,Hannes K,Herbert B.Crack problems in magnetoelectroelastic solids.Part Ⅰ:exact solution of a crack[J].Int.J.Eng.Sci,2003,41:969~981.
  • 6Song Z F,SihG C.Crack initiation behavior in magnetoelectroelastic composite under in-plane deformation[J].Theor.Appl.Fract.Mech,2003,39:189~207.
  • 7Spyropoulos C P,Sih G C,Song Z F.Magnetoelectroelastic composite with poling parallel to plane of line under outer-of-plane deformation[J].Theor.Appl.Fract.Mech,2003,39:281~289.
  • 8Wang B L,Mai Y W.Fracture of piezoelectromagnetic materials[J].Mech.Re.Commu,2004,31:65~73.
  • 9Shindo Y,Tanaka K,Narita F.Singular stress and electric fields of a piezoelectric ceramic strip with a finite crack under longitudinal shear[J].Acta Mech,1997,120:31~45.
  • 10Zhang T Y,Tong P.Fracture mechanics for a mode Ⅲcrack in a piezoelectric material[J].Int.J.Solids Struct,1996,33:343~359.

共引文献8

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部