Interaction between a dislocation and a core–shell nanowire with interface effects

Fang, Qihong; Liu, Y.W.; Jin, Bo; Wen, P.H.

doi:10.1016/j.ijsolstr.2008.11.026

Cited by 41 publications

(10 citation statements)

References 40 publications

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“…Supposing that a generalized screw dislocation is located in region

S_{1}^{+}

, the generalized analytical vector‐function

{boldf}_{1}^{'} false(ζ false)

in the upper half‐plane takes the form

{boldf}_{1}^{'} (ζ) = \frac{boldb}{2 π normali (ζ - ζ_{0})} + {boldf}_{10} (ζ), ζ \in S_{1}^{+},

where

{boldf}_{10} false(ζ false)

is holomorphic in region

S_{1}^{+}

.…”

Section: Basic Problem and Solutionmentioning

confidence: 99%

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.

show abstract

“…Supposing that a generalized screw dislocation is located in region

S_{1}^{+}

, the generalized analytical vector‐function

{boldf}_{1}^{'} false(ζ false)

in the upper half‐plane takes the form

{boldf}_{1}^{'} (ζ) = \frac{boldb}{2 π normali (ζ - ζ_{0})} + {boldf}_{10} (ζ), ζ \in S_{1}^{+},

where

{boldf}_{10} false(ζ false)

is holomorphic in region

S_{1}^{+}

.…”

Section: Basic Problem and Solutionmentioning

confidence: 99%

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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show abstract

“…In the context of surface‐stress elasticity, the constitutive relations along with equilibrium equations lead to a formulation involving the first gradient of strain. Although this theory does not eliminate singularities encountered in the classical elasticity solution of dislocations, it sheds light on peculiarities of elastic behavior of dislocations in close vicinity of surfaces and interfaces where the classical theory of elasticity fails to provide reasonable results 44–48. Moreover, this approach is rather effective for analyzing problems involving media with two surfaces/interfaces having large surface/interface to bulk ratio 46, 47.…”

Section: Introductionmentioning

confidence: 99%

Effect of surface stresses on elastic behavior of a screw dislocation inside the wall of a nanotube

Shodja

Gutkin

Moeini-Ardakani

2011

Physica Status Solidi (b)

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Behavior of a screw dislocation inside a nanotube (NT) is considered in the context of surface elasticity. The elastic fields as well as the image force acting over the dislocation are derived and analyzed in detail. In contrast with the result of classical elasticity, the screw dislocation is shown to be repelled by free surfaces and occupy two stable equilibrium positions near them. The image force strongly depends on the NT's inner and outer radii as well as surface elastic characteristics.

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“…Generally, the interface is treated as perfect and classical theory of elasticity is employed in the aforementioned publications. In recent years, it has been claimed that the surface/interface effects also played a role if the inclusion size is on the order of nanometer and the interface-to-bulk ratio is significant [17][18][19][20] or the interface is imperfect [21][22][23][24][25][26]; great effort has been made by researchers to tackle this kind of problems with the Gurtin-Murdoch model (namely, surface/interface stress model) [27][28][29][30][31][32][33]. For conducting a systematic research, the interface effect will be considered in the subsequent work, and in this paper, a perfect interface is employed to make the first effort.…”

Section: Introductionmentioning

confidence: 99%

The competitive nucleation of misfit dislocation dipole and misfit extended dislocation dipole in nanocomposites

et al. 2017

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Nanocomposites have shown excellent mechanical and physical properties; however, their properties are seriously affected by the nucleation of misfit defects at the interfaces between the inclusion and the matrix. Based on the energy rule, the nucleation criteria for a misfit extended dislocation dipole (MEDD) and a misfit screw dislocation dipole (MSDD) are analytically given. Furthermore, we systematically investigate the effects of the geometrical and mechanical factors, such as the radius of the inclusion, the misfit strain, the shear modulus ratio and the stacking fault energy, on the competitive nucleation between MEDD and MSDD. It is found that the stacking fault energy has a decisive effect on the competitive nucleation of MEDD and MSDD. The critical stacking fault energy for the nucleation transferring from MSDD to MEDD increases with the increase of the shear modulus ratio and decrease of the misfit strain, while it is almost not affected by the inclusion radius.

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Interaction between a dislocation and a core–shell nanowire with interface effects

Cited by 41 publications

References 40 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

Effect of surface stresses on elastic behavior of a screw dislocation inside the wall of a nanotube

The competitive nucleation of misfit dislocation dipole and misfit extended dislocation dipole in nanocomposites

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