Application of the extended traction boundary element-free method to the fracture of two-dimensional infinite magnetoelectroelastic solid

被引：0
作者：
WenJie Feng
YanSong Li
Xu Han
ZengHe Xu
机构：
[1] Shijiazhuang Tiedao University,Department of Engineering Mechanics
[2] Hebei University of Engineering,College of Civil Engineering
[3] Northeastern University,Institute of Engineering Mechanics
[4] Hunan University,State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body
来源：
Science China Physics, Mechanics and Astronomy | 2011年 / 54卷
关键词：
boundary element-free method; boundary integral equation; radial point interpolation method; crack problem; magnetoelectroelastic materials;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A novel extended traction boundary element-free method is proposed to analyze the crack problems of two-dimensional infinite magnetoelectroelastic solid. An extended traction boundary integral equation only involving Cauchy singularity is firstly derived. Then, the extended dislocation densities on the crack surface are expressed as the combination of a characteristic term and unknown weight functions, and the radial point interpolation method is adopted to approximate the unknown weight functions. The numerical scheme of the extended traction boundary element-free method is further established, and an effective numerical procedure is used to evaluate the Cauchy singular integrals. Finally, the stress intensity factor, electric displacement intensity factor and magnetic induction intensity factor are computed for some selected crack problems that contain straight, curved and branched cracks, and good numerical results are obtained. At the same time, the fracture properties of these crack problems are discussed.
引用
收藏
页码：1141 / 1153
页数：12
相关论文
共 87 条
  • [1] Van Suchtelen J.(1972)Product properties: A new application of composite materials Phillips Res Rep 27 28-37
  • [2] Alshits I.(1992)On the existence of surface waves in half-anisotropic elastic media with piezoelectric and piezomagnetic properties Wave Motion 16 265-283
  • [3] Darinskii A. N.(1994)Magnetoelectric effect in composites of piezoelectric and piezomagnetic phases Phys Rev B 50 6082-6088
  • [4] Lothe J.(1995)Magnetoelectric effect in fibrous composites with piezoelectric and piezomagnetic phases Phys Rev B 51 16424-16427
  • [5] Nan C. W.(2003)Magnetic and electric poling effects associated with crack growth in BaTiO Theor Appl Fract Mech 39 209-227
  • [6] Benveniste Y.(2003)-CoFe Int J Eng Sci 41 983-994
  • [7] Sih G. C.(2003)O Eur J Mech A-Solids 22 591-602
  • [8] Song Z. F.(2006) composite Theor Appl Fract Mech 45 227-237
  • [9] Gao C. F.(2007)Crack problems in magnetoelectroelastic solids. Part II: general solution of collinear cracks Int J Solids Struct 44 419-435
  • [10] Kessler H.(2005)Crack tip field in piezoelectric/piezomagnetic media Int J Solids Struct 42 3185-3205
123456789