Interaction between an edge dislocation and a circular inclusion

Dundurs, J.; Mura, T.

doi:10.1016/0022-5096(64)90017-1

Cited by 388 publications

(149 citation statements)

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“…The coefficient K 1 is determined by how difficult it is for the external force to ''move'' a probe dislocation in the direction to the pore; therefore, it should be proportional to the force of dislocation attraction to the pore. In accordance with the analysis given in 8 :…”

Section: Analysis Of Reaction Coefficientssupporting

confidence: 53%

Modeling of Threading Dislocation Density Reduction in Porous III-Nitride Layers

Artemiev

Orlova

Bougrov

et al. 2015

Journal of Elec Materi

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In this work, we report on the results of the theoretical analysis of threading dislocation (TD) density reduction in porous III-nitride layers grown in polar orientation. The reaction-kinetics model originally developed for describing TD evolution in growing bulk layers has been expanded to the case of the porous layer. The developed model takes into account TD inclinations under the influence of the pores as well as trapping TDs into the pores. It is demonstrated that both these factors increase the probability of dislocation reactions thus reducing the total density of TDs. The mean pore diameter acts as an effective interaction radius for the reactions among TDs. The model includes the main experimentally observed features of TD evolution in porous III-nitride layers.

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Section: Analysis Of Reaction Coefficientssupporting

confidence: 53%

Modeling of Threading Dislocation Density Reduction in Porous III-Nitride Layers

Artemiev

Orlova

Bougrov

et al. 2015

Journal of Elec Materi

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“…The interaction of an edge dislocation with a bimaterial interface in an infinite solid was studied by Dundurs (1969), Suo (1989), Wang and Sta ahle (1998a,b) among others. If the edge dislocation is embedded in material 2 as shown in Fig.…”

Section: Complex Potentialsmentioning

confidence: 99%

A crack perpendicular to the bimaterial interface in finite solid

Chen

Wang

Kao-Walter

2003

International Journal of Solids and Structures

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The dislocation simulation method is used in this paper to derive the basic equations for a crack perpendicular to the bimaterial interface in a finite solid. The complete solutions to the problem, including the T stress and the stress intensity factors are obtained. The stress field characteristics are investigated in detail. It is found that when the crack is within a weaker material, the stress intensity factor is smaller than that in a homogeneous material and it decreases when the distance between the crack tip and interface decreases. When the crack is within a stiffer material, the stress intensity factor is larger than that in a homogeneous material and it increases when the distance between the crack tip and interface decreases. In both cases, the stress intensity factor will increase when the ratio of the size of a sample to the crack length decreases. A comparison of stress intensity factors between a finite problem and an infinite problem has been given also. The stress distribution ahead of the crack tip, which is near the interface, is shown in details and the T stress effect is considered.

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“…integral equations for this problem can easily be written down by using the dislocation solutions given in [4] and [5] as the Green's functions. In the usual manner the solution of the problem can be expressed as the sum of two sets of stresses:…”

Section: The Integral Equations For the General Problemmentioning

confidence: 99%

“…Using the dislocation solutions given in [4] and [5] as the Green's functions, after some manipulations the following system of integral equations may easily be obtained to determine f, and f 2 :…”

Section: The Integral Equations For the General Problemmentioning

confidence: 99%