A Magnetoelectric Screw Dislocation Interacting with an Elliptical Inhomogeneity Containing a Confocal Rigid Line

Jiang, Chun Zhi; Liu, You Wen; Xie, Chi

doi:10.4028/www.scientific.net/amr.239-242.2195

Cited by 3 publications

(4 citation statements)

References 12 publications

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“…Substituting Equation (40) into Equation (39), the explicit solution of the image force can be derived, If the generalized dislocation lies on the y-axis and the length of two secondary crack are equal, Equation (41) can reduce to = 0 ( + )…”

Section: = Limmentioning

confidence: 99%

“…derived the magneto‐electro‐ mechanical explicit closed‐form analytical solution of a generalized screw dislocation interacting with a wedge‐shaped crack in bi‐material interface. Jiang et al . discussed the interaction between screw dislocation and an elliptical inhomogeneity containing a confocal rigid line in magneto‐electro‐elastic composite.…”

Section: Introductionmentioning

confidence: 99%

“…Xiao et al [38] derived the magneto-electro-mechanical explicit closed-form analytical solution of a generalized screw dislocation interacting with a wedge-shaped crack in bi-material interface. Jiang et al [39] discussed the interaction between screw dislocation and an elliptical inhomogeneity containing a confocal rigid line in magneto-electro-elastic composite. Yu et al [40] investigated the magneto-electro-mechanical interaction between screw dislocation and an elliptical inhomogeneity containing a confocal crack.…”

Section: Introductionmentioning

confidence: 99%

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Generalized screw dislocations interacting with interfacial secondary crack in magneto‐electro‐elastic solid

Zeng

Liu

et al. 2019

Z Angew Math Mech

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The interaction between generalized screw dislocation and two asymmetrical interfacial secondary cracks emanating from an elliptic blunt crack tip in magneto‐electro‐elastic solid is investigated. Utilizing the complex potential method, the closed‐form solutions for complex potentials and generalized stress fields are derived. In some limiting cases, the present solutions can reduce to the well‐known results. Moreover, many new solutions for special cases are discussed. The energy release rate at the right interfacial secondary crack tip and the image force acting on dislocation are also calculated. Numerical calculations are given for analyzing the effects of variable parameters, such as location of the dislocation, materials constants and geometrical parameters of interfacial secondary crack. The results show that the long left interfacial secondary crack or the blunt crack with the high passivation rate enhances the influence of the dislocation on the energy release rate at the right interfacial secondary crack tip. In addition, the energy release rate increases with the increment of elastic coefficient of the other half‐plane, but decreases with the increment of dielectric coefficient or magnetic permeability coefficient.

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Section: = Limmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Generalized screw dislocations interacting with interfacial secondary crack in magneto‐electro‐elastic solid

Zeng

Liu

et al. 2019

Z Angew Math Mech

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“…Zheng et al [27] studied the interference between generalized screw dislocations and circular arc interface cracks in piezoelectromagnetic materials and analyzed the variation of image forces and stress intensity factors. Jiang et al [28,29] studied the magneto-electro-elastic interference between a screw dislocation and an elliptic inclusion with a confocal rigid line in piezoelectromagnetic composites. Wang and Kuna [30,31] considered the screw dislocation in functionally graded magnetoelectro-elastic solids and researched the mechanical electromagnetic interaction of a screw dislocation and a moving anti-plane crack.…”

Section: Introductionmentioning

confidence: 99%

Interaction between a generalized screw dislocation in the matrix and an inhomogeneity containing an elliptic hole in piezoelectric–piezomagnetic composite materials

Peng

Yang

2019

Mathematics and Mechanics of Solids

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The paper deals with the interaction of a generalized screw dislocation and an elliptic inhomogeneity containing a confocal elliptic hole in a magneto-electro-elastic composite material. Exact solutions are derived for the case where the generalized screw dislocation is located in the matrix under a remote anti-plane shear stress field, an in-plane electric field, and a magnetic field. Based on the complex variable method, the complex potentials of both the matrix and the inhomogeneity are obtained in series, and analytic expressions for the generalized stress and strain field, the image force, the generalized stress intensity factor of the blunt crack tip, and the energy release rate are derived explicitly. The presented solutions include some previous solutions, such as pure elastic, piezoelectric, piezomagnetic, and circular inclusions. Typical numerical examples are presented and the influences of the dislocation position, the volume of inhomogeneity, and the elliptic hole on these physical quantities are discussed. The results show that the magneto-electro-elastic coupling effect has a great influence on the image force and the equilibrium position of dislocation, especially when the dislocation approaches the interface; the coupling effect makes the image force on the screw dislocation follow different variation laws in piezoelectric–piezomagnetic composite materials compared with elastic materials.

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Screw dislocation and elliptic inhomogeneity of a confocal crack in magnetoelectroelastic medium: Comparison of energy release rate and strain energy density

Fang

Liu

et al. 2012

Theoretical and Applied Fracture Mechanics

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A Magnetoelectric Screw Dislocation Interacting with an Elliptical Inhomogeneity Containing a Confocal Rigid Line

Cited by 3 publications

References 12 publications

Generalized screw dislocations interacting with interfacial secondary crack in magneto‐electro‐elastic solid

Generalized screw dislocations interacting with interfacial secondary crack in magneto‐electro‐elastic solid

Interaction between a generalized screw dislocation in the matrix and an inhomogeneity containing an elliptic hole in piezoelectric–piezomagnetic composite materials

Screw dislocation and elliptic inhomogeneity of a confocal crack in magnetoelectroelastic medium: Comparison of energy release rate and strain energy density

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