Analysis of a penny-shaped crack in a magneto-electro-elastic medium

Zhao, Minghao; Yang, Feng; Liu, Tong

doi:10.1080/14786430600724439

Cited by 67 publications

(40 citation statements)

References 24 publications

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“…The numerical results show that the extended intensity factors take the maximum value at the middle point (A, 0, h). The most important finding is that the three normalized intensity factors become different due to the interface, which is unlike the case of a crack in a homogeneous medium [Zhao et al 2006b]. …”

Section: Numerical Examples and Discussionmentioning

confidence: 99%

“…where s i are the roots of the material characteristic equation and k mi are the material related constants given in [Zhao et al 2006b]. …”

Section: Appendix A: Fundamental Solutionsmentioning

confidence: 99%

“…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%

See 2 more Smart Citations

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.

show abstract

Section: Numerical Examples and Discussionmentioning

confidence: 99%

“…where s i are the roots of the material characteristic equation and k mi are the material related constants given in [Zhao et al 2006b]. …”

Section: Appendix A: Fundamental Solutionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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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show abstract

“…In the last decade, many theoretical studies on MEE composites have focused on fracture mechanics [7][8][9][10][11][12][13]. However, there are few studies for the singularity problems of the MEE wedges or junctions [14,15] and it needs further analyses.…”

Section: Introductionmentioning

confidence: 97%

The singularity problem of the magneto-electro-elastic wedge-junction structure with consideration of the air effect

Liu

2008

Arch Appl Mech

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The analytical compound model of a magneto-electro-elastic wedge-junction structure simultaneously combines a bimaterial magneto-electro-elastic wedge and a three-material electromagnetic junction. This model gives special consideration to the electrostatic and magnetostatic fields in air. Based on the author's previous study, new results of antiplane singularity orders at the apex of this wedge-junction structure have been obtained in this paper. The characteristic equation and numerical results are obtained for discussions. As a result, the existence of the air plays an important role to reduce the singularity when the permittivity or permeability of the solid approaches that of the air. This wedge-junction compound model is more realistic and shows the important roles of the electrostatic and magnetostatic fields in the air.

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“…More recently, a penny shaped crack in a magnetoelectroelastic material has been considered. For example, Zhao et al (2006) analyzed a penny shaped crack in a magnetoelectroelastic medium. Niraula and Wang (2006) derived an exact closed form solution for a penny shaped crack in a magnetoelectrothermoelastic material in a temperature field.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Mode I Conducting Crack in Piezo-Electro-Magneto-Elastic Layer

Rogowski¹

2013

International Journal of Applied Mechanics and Engineering

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Within the theory of linear magnetoelectroelasticity, the fracture analysis of a magneto -electrically dielectric crack embedded in a magnetoelectroelastic layer is investigated. The prescribed displacement, electric potential and magnetic potential boundary conditions on the layer surfaces are adopted. Applying the Hankel transform technique, the boundary -value problem is reduced to solving three coupling Fredholm integral equations of second kind. These equations are solved exactly. The corresponding semi -permeable crack -face magnetoelectric boundary conditions are adopted and the electric displacement and magnetic induction of crack interior are obtained explicitly. This field inside the crack is dependent on the material properties, applied loadings, the dielectric permittivity and magnetic permeability of crack interior, and the ratio of the crack length and the layer thickness. Field intensity factors are obtained as explicit expressions.

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Analysis of a penny-shaped crack in a magneto-electro-elastic medium

Cited by 67 publications

References 24 publications

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

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

The singularity problem of the magneto-electro-elastic wedge-junction structure with consideration of the air effect

Analysis of Mode I Conducting Crack in Piezo-Electro-Magneto-Elastic Layer

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