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Application of the extended traction boundary element-free method to the fracture of two-dimensional infinite magnetoelectroelastic solid
Alternative TitleApplication 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
Source PublicationSCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
ISSN1674-7348
Volume54Issue:6Pages:1141-1153
AbstractA 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.
Other AbstractA 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.
KeywordGREENS-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
Indexed ByCSCD
Language英语
Funding Project[National Natural Science Foundation of China] ; [Natural Science Foundation for Outstanding Young People of Hebei Province, China]
CSCD IDCSCD:4269557
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Document Type期刊论文
Identifierhttp://ir.imr.ac.cn/handle/321006/150388
Collection中国科学院金属研究所
Affiliation1.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
Recommended Citation
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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