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Application of the extended traction boundary element-free method to the fracture of two-dimensional infinite magnetoelectroelastic solid
其他题名Application of the extended traction boundary element-free method to the fracture of two-dimensional infinite magnetoelectroelastic solid
Feng WenJie1; Li YanSong2; Han Xu4; Xu ZengHe3
2011
发表期刊SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
ISSN1674-7348
卷号54期号:6页码:1141-1153
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.
其他摘要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.
关键词GREENS-FUNCTIONS POTENTIAL PROBLEMS NODE METHOD PIEZOMAGNETIC PHASES COMPOSITE-MATERIALS ELLIPTIC CAVITY CURVED CRACKS ELASTICITY MESHLESS MEDIA boundary element-free method boundary integral equation radial point interpolation method crack problem magnetoelectroelastic materials
收录类别CSCD
语种英语
资助项目[National Natural Science Foundation of China] ; [Natural Science Foundation for Outstanding Young People of Hebei Province, China]
CSCD记录号CSCD:4269557
引用统计
文献类型期刊论文
条目标识符http://ir.imr.ac.cn/handle/321006/150390
专题中国科学院金属研究所
作者单位1.石家庄铁道大学
2.河北大学
3.中国科学院金属研究所
4.湖南大学
推荐引用方式
GB/T 7714
Feng WenJie,Li YanSong,Han Xu,et al. Application of the extended traction boundary element-free method to the fracture of two-dimensional infinite magnetoelectroelastic solid[J]. SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,2011,54(6):1141-1153.
APA Feng WenJie,Li YanSong,Han Xu,&Xu ZengHe.(2011).Application of the extended traction boundary element-free method to the fracture of two-dimensional infinite magnetoelectroelastic solid.SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,54(6),1141-1153.
MLA Feng WenJie,et al."Application of the extended traction boundary element-free method to the fracture of two-dimensional infinite magnetoelectroelastic solid".SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY 54.6(2011):1141-1153.
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