Size-dependent elastic interaction of a screw dislocation with a circular nano-inhomogeneity incorporating interface stress

Fang, Qihong; Liu, Y.W.

doi:10.1016/j.scriptamat.2006.03.026

Cited by 69 publications

(21 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…From Head's work [1], many researches have been performed. It is revealed that the interaction energy and image force acting on the dislocation are significantly influenced by the shape of inhomogeneities [1][2][3][4][5][6], the nature of inhomogeneity/matrix interfaces [7][8][9][10], and the size of inhomogeneities [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

“…By introducing the interface stress effects of the nano-inhomogeneity with the Gurtin-Murdoch model, Fang and Liu [11] investigated the interaction of a screw dislocation with a circular nano-inhomogeneity, and they found that the normalized image force depended on the inhomogeneity size. The interface effect becomes negligible when the radius of the inhomogeneity is relatively large.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The interaction of a screw dislocation with a circular inhomogeneity near the free surface

et al. 2013

View full text Add to dashboard Cite

The interaction of a screw dislocation with a circular inhomogeneity near the free surface is discussed in this paper. By using the complex potential and conformal mapping technique, an explicit series solution is obtained. Then, the solution is cast into a new expression to separate the interaction effects between the dislocation, inhomogeneity, and free surface. The new expression is not only convenient to reveal the coupling interaction effects, but also helpful to improve the convergence of the solution. As an application of the new expression, a simple approximate formula is presented with high accuracy. Finally, the full-field interaction energy and image force are evaluated and studied graphically. It is found that when the screw dislocation, inhomogeneity, and free surface are close to each other, their interaction effects strongly and intricately couple in the near field. In the case of a soft inhomogeneity or a hole, there is an unstable equilibrium point of the screw dislocation between the inhomogeneity and free surface, whereas in the case of a hard or rigid inhomogeneity, there is an unstable equilibrium point on the opposite side of the inhomogeneity.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The interaction of a screw dislocation with a circular inhomogeneity near the free surface

et al. 2013

View full text Add to dashboard Cite

show abstract

“…To increase the stability in serving life, the surface/interface effect on the strength of nano-composites is attracting a lot of interest in recent years. The loadings involved in the past investigations include the static [1][2][3][4][5] and dynamic loadings [6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Dynamic stress in a semi-infinite solid with a cylindrical nano-inhomogeneity considering nanoscale microstructure

2012

View full text Add to dashboard Cite

In this paper, the dynamic stress around a cylindrical nano-inhomogeneity embedded in a semiinfinite solid under anti-plane shear waves is investigated. The surface/interface stress effects around the nano-inhomogeneity and at the straight edge of the semi-infinite solid are both considered. The boundary condition at the straight edge of the semi-infinite solid with surface/interface effects is satisfied by the image method. The incident, scattered and refracted displacement fields in the nano-sized composites are expressed by employing the wave function expansion method. The addition theorem for a cylindrical wave function is applied to accomplish the superposition of wave fields in the two semi-infinite solids. Analyzes show that the effect of interface properties, especially that at the straight edge, on the dynamic stress is significant, and the effect increases noticeably due to the nanoscale of the structure. The incident frequency and angle of waves and the shear modulus ratio of the nano-inhomogeneity to matrix also show a pronounced effect on the dynamic stress distribution if the semi-infinite solid shrinks to nanoscale.

show abstract

“…Many scholars have studied this issue [1][2][3][4][5][6]. However, most of researches are concentrated on the interaction of dislocation with single crack or single inclusion, seldom to think over the interaction between them [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

A Screw Dipole in Inhomogeneity Interaction with an Elliptical Inhomogeneity Containing a Confocal Crack

Yu¹,

Yang²,

Peng³

2018

dteees

View full text Add to dashboard Cite

Abstract. The paper is aimed to investigate a theoretical model that a screw dipole inside an elastic elliptical inhomogeneity that containing a confocal line crack under longitudinal shear. The analytic solutions of stress fields of matrix and inhomogeneity, the image force and image torque acting on the center of screw, and the stress intensity factor of line crack tip are obtained by using the complex method of elasticity. Then through the numerical analysis, the effects of the relative shear modulus, the dip angle of screw dipole, the shape of inhomogeneity on image force, image torque and stress intensity factor are discussed in detailed. The result show that both the image force and image torque periodically changes as the dip angle and when the inclusion is hard, the moment of image torque is greatly affected by the material constant and the cracks in the inclusions can enhance the repulsion of the hard matrix to dislocation and weaken the attraction of the soft matrix to dislocations.

show abstract

Size-dependent elastic interaction of a screw dislocation with a circular nano-inhomogeneity incorporating interface stress

Cited by 69 publications

References 20 publications

The interaction of a screw dislocation with a circular inhomogeneity near the free surface

The interaction of a screw dislocation with a circular inhomogeneity near the free surface

Dynamic stress in a semi-infinite solid with a cylindrical nano-inhomogeneity considering nanoscale microstructure

A Screw Dipole in Inhomogeneity Interaction with an Elliptical Inhomogeneity Containing a Confocal Crack

Contact Info

Product

Resources

About