Two collinear interface cracks in magneto-electro-elastic composites

Zhou, Zhen-Gong; Wang, Biao; Sun, Yi

doi:10.1016/j.ijengsci.2004.01.005

Cited by 98 publications

(46 citation statements)

References 12 publications

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“…Since then, most research results published were obtained recently in references [1,[12][13][14][15][16][17][19][20][21][22][23][24]. Recently, the static fracture behaviors of a crack or two cracks in piezoelectric/piezomagnetic materials had been investigated in references [25][26][27][28] by the Schmidt method [29] until recent years, but they just concentrated on the anti-plane shear fracture problems in magnetoelectroelastic composite materials.…”

Section: Introductionmentioning

confidence: 99%

Solutions to a limited-permeable crack or two limited-permeable collinear cracks in piezoelectric/piezomagnetic materials

Zhou

Zhang

2007

Arch Appl Mech

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The solutions of a limited-permeable crack (case I) or two collinear limited-permeable cracks (case II) in piezoelectric/piezomagnetic materials subjected to a uniform tension loading were investigated in this paper using the generalized Almansi's theorem. At the same time, the electric permittivity and the magnetic permeability of air in crack were firstly considered. Through the Fourier transform, the problem can be solved with the help of two pairs of dual integral equations, in which the unknown variables were jumps of displacements across crack surfaces, not the dislocation density functions or the complex variable functions. To solve the dual integral equations, the jumps of displacements across crack surfaces were directly expanded in a series of Jacobi polynomials to obtain the relations among electric displacement intensity factors, magnetic flux intensity factors and stress intensity factors at crack tips.

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Section: Introductionmentioning

confidence: 99%

Solutions to a limited-permeable crack or two limited-permeable collinear cracks in piezoelectric/piezomagnetic materials

Zhou

Zhang

2007

Arch Appl Mech

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“…In previous studies involving cracks in magneto-electro-elastic materials, including infinite body, strip and rectangle plate, etc., the Fourier transform method is frequently used such as Zhou et al [11], Hu et al [14], Feng et al [13,16,17]. However, for the present study we would rather employ the Fourier series approach or the finite Fourier transform technique, since it can avoid some tedious manipulations in deriving final results as compared to the usual Fourier transform method.…”

Section: Derivation and Solution Of The Singular Integral Equationmentioning

confidence: 99%

“…Among these works, Chue and Liu [12] analyzed the anti-plane interface crack problem of a biomaterial BaTiO 3 -CoFe 2 O 4 composite wedge; Feng et al [17] considered the near field and far field properties of SH wave scattering to arc-shaped interface crack between a cylindrical magneto-electro-elastic inclusion and matrix; all the other studies [11,13,15,18,22] concentrated on the interface crack between two dissimilar half-infinite magneto-electro-elastic materials under static and impact loads. To the best of the authors' knowledge, the fracture problem of interface crack embedded in dissimilar magneto-electro-elastic materials of finite size in both directions has not been addressed.…”

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confidence: 99%

Fracture behavior of a bonded magneto-electro-elastic rectangular plate with an interface crack

Feng

2007

Arch Appl Mech

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In this paper the anti-plane problem for an interface crack between two dissimilar magneto-electroelastic plates subjected to anti-plane mechanical and in-plane magneto-electrical loads is investigated. The interface crack is assumed to be either magneto-electrically impermeable or permeable, and the position of the interface crack is arbitrary. The finite Fourier transform method is employed to reduce the mixed boundary-value problem to triple trigonometric series equations. The dislocation density functions and proper replacement of the variables are introduced to reduce these series equations to a standard Cauchy singular integral equation of the first kind. The resulting integral equation together with the corresponding single-valued condition is approximated as a system of linear algebra equations which can be easily solved. Field intensity factors and energy release rates are determined numerically and discussed in detail. Numerical results show the effects of crack configuration and loading combination parameters on the fracture behaviors of crack tips according to energy release rate criterion. The study of this problem is expected to have applications to the investigation of dynamic fracture properties of magneto-electro-elastic materials with cracks.

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“…The integrity and reliability of the structures depend greatly on the defects, such as inclusion, void, crack, etc., in the materials and structures. So the study of cracks in magnetoelectroelastic materials and structures has been attracting more and more efforts [Huang and Kuo 1997;Wang and Shen 2003;Wang and Mai 2003;Gao and Noda 2004;Zhou et al 2004;Tian and Rajapakse 2005;Zhao et al 2006a;Zhao et al 2006b]. …”

Section: Introductionmentioning

confidence: 99%

Extended displacement discontinuity method for crack analysis in three-dimensional two-phase transversely isotropic magnetoelectroelastic media

Zhao

Fan

et al. 2008

JOMMS

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Green's functions for extended displacement discontinuity in a three-dimensional two-phase transversely isotropic magnetoelectroelastic medium are obtained by using the integral equation method. Based on the obtained Green's functions, an extended displacement discontinuity method is developed for analysis of planar cracks of arbitrary shape in three-dimensional two-phase magnetoelectroelastic media. A rectangular interior crack parallel to the interface under the electrically and magnetically impermeable boundary condition is analyzed, and the extended intensity factors are calculated by the proposed method. The magnetoelectroelastic medium is made with BaTiO 3 as the inclusion and CoFe 2 O 4 as the matrix. The influences of the interface and the material properties on the extended intensity factors are studied. Numerical results show that the three normalized extended intensity factors, that is, the stress intensity factor, the electric displacement intensity factor, and the magnetic induction intensity factor, are different both from each other and from the case of a crack in a homogeneous medium.

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Two collinear interface cracks in magneto-electro-elastic composites

Cited by 98 publications

References 12 publications

Solutions to a limited-permeable crack or two limited-permeable collinear cracks in piezoelectric/piezomagnetic materials

Solutions to a limited-permeable crack or two limited-permeable collinear cracks in piezoelectric/piezomagnetic materials

Fracture behavior of a bonded magneto-electro-elastic rectangular plate with an interface crack

Extended displacement discontinuity method for crack analysis in three-dimensional two-phase transversely isotropic magnetoelectroelastic media

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