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Discussion on electromagnetic crack face boundary conditions for the fracture mechanics of magneto-electro-elastic materials

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Acta Mechanica Sinica 2006年第3期22卷 233-242页

作者： Baolin Wang Jiecai Han Center for Composite materials Harbin Institute of Technology Harbin 150001 China

This paper discusses electromagnetic boundary conditions on crack faces in magneto- electroelastic materials, where piezoelectric, piezomagnetic and magnetoelectric effects are coupled. A notch of finite thickness in these materials is also addressed. Four idealized electromagnetic boundary conditions assumed for the crack-faces are separately investigated, i.e. （a） electrically and magnetically impermeable （crack-face）, （b） electrically impermeable and magnetically permeable, （c） electrically permeable and magnetically impermeable, and （d） electrically and magnetically permeable. The influence of the notch thickness on important parameters, such as the field intensity factors, the energy release rate at the notch tips and the electromagnetic fields inside the notch, are studied and the results are obtained in closed-form. Results under different idealized electromagnetic boundary conditions on the crack-face are compared, and the applicability of these idealized assumptions is discussed.

关键词： Fracture mechanics magnetoelectroelastic materials Boundary conditions Notch Crack

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

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Science China(Physics,Mechanics & Astronomy) 2011年第6期54卷 1141-1153页

作者： FENG WenJie LI YanSong HAN Xu XU ZengHe Department of Engineering Mechanics Shijiazhuang Tiedao UniversityShijiazhuang 050043China College of Civil Engineering Hebei University of EngineeringHandan 056038China Institute of Engineering Mechanics Northeastern UniversityShenyang 110004China State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body Hunan UniversityChangsha 410082China

A novel extended traction boundary element-free method is proposed to analyze the crack problems of two-dimensional infinite magnetoelectroelastic *** extended traction boundary integral equation only involving Cauchy singularity is firstly ***,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 *** 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 ***,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 *** the same time,the fracture properties of these crack problems are discussed.

关键词： boundary element-free method boundary integral equation radial point interpolation method crack problem magnetoelectroelastic materials

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FRACTURE ANALYSIS OF A MOVING INTERFACE CRACK WITH A CONTACT ZONE IN A magnetoelectroelastic BIMATERIAL

FRACTURE ANALYSIS OF A MOVING INTERFACE CRACK WITH A CONTACT...

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中国力学大会-2017暨庆祝中国力学学会成立60周年大会

作者： P.Ma W.J.Feng R.K.L Su Department of Civil Engineering The University of Hong Kong Department of Engineering Mechanics Shijiazhuang Tiedao University

The plane strain problem of a moving crack at the interface of two dissimilar magnetoelectroelastic(MEE) materials is considered. Assuming that the crack moves at a constant speed in the subsonic regime, a fracture analysis of a finite crack under concentrated loading imposed onto the crack face is first carried out. By applying magnetoelectric(ME) permeable boundary conditions at the crack face, a combined Dirichlet-Riemann problem is formulated and solved analytically. The expressions for the fracture parameters, including the relative length of the contact zone and field intensity factors(FIFs), are obtained in the analytical form. A crack of a semi-infinite length with a contact zone under concentrated loading is further presented as a specific case examined with the obtained solution. Finally, numerical examples are provided for the BaT i O3-Co Fe2 O4 composites to examine the influence of the speed of the moving crack, poling direction, material volume fraction, load position and load ratio on the fracture parameters.

关键词： Moving crack Interface crack Stress intensity factor Contact zone magnetoelectroelastic materials

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