Dislocations Emerging at Planar Boundaries

Belov, A. Yu.

doi:10.1016/b978-0-444-88773-3.50013-3

Cited by 20 publications

(7 citation statements)

References 48 publications

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“…Indeed, there is usually a thin layer with different mechanical properties close to the surface due to surface preparations, such as the FIB polishing which can create a damaged layer (Kheradmand, 2012;Idrissi et al, 2016;Chen, 2020). In order to study the interactions between dislocations, GBs and surfaces, the elastic fields due to one single dislocation in anisotropic bi-materials and half-spaces have been largely investigated for perfect GB and half-space surface models with two-dimensional elasticity theory (Tucker and Crocker, 1968;Gemperlova and Saxl, 1968;Suo, 1990;Ting, 1992;Belov, 1992;Chu and Pan, 2014;Zhang et al, 2016;Chen et al, 2020;Chen, 2020).…”

Section: Introductionmentioning

confidence: 99%

Surface effects on image stresses and dislocation pile-ups in anisotropic bi-crystals

Chen

Richeton

Berbenni

2021

International Journal of Plasticity

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A new bi-crystal surface layer configuration with stiff layer adjacent to the free surface is modeled based on the image decomposition method.• The numerically computed dislocation image stress is different from purely free or rigid surface.• Size effects on the dislocation image stress are found in presence of two parallel free surfaces or two grain boundaries.• The equilibrium dislocation positions are computed for a double-ended dislocation pile-up considering surface conditions, grain boundary and critical stress.

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Section: Introductionmentioning

confidence: 99%

Surface effects on image stresses and dislocation pile-ups in anisotropic bi-crystals

Chen

Richeton

Berbenni

2021

International Journal of Plasticity

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“…Other TDs in GaN are sometimes directed along the c axis, while other TDs have lines inclined noticeably with respect to c. For the screw case ( = 0) and b = c, the dislocation density b( ) is given by the expression (14). Taking the constants indicated in [16], Figure 2 illustrates the sinusoidal shape of the two nonzero components of the dislocation density b( ), that is, 1 ( ) and 2 ( ).…”

Section: Application To Ganmentioning

confidence: 99%

“…The displacement field regarding a mixed dislocation with //c( = 0) was already expressed for a plate-like hexagonal crystal in [14] but unfortunately this author did not consider a semi-infinite crystal. In the present work, the solution is found in searching for the limit of the displacement field u rel around the upper emerging point when the plate thickness tends to infinity.…”

Section: The Stress Potential Approachmentioning

confidence: 99%

“…In [10], the first expression in (14) should be corrected. All the trigonometric terms should be squared.…”

Section: B Misprint In [10]mentioning

confidence: 99%

“…(i) Edge dislocation b// : the field u rel is derived from two stress potentials 1 and 2 mentioned in [14] but calculated at the limit of an infinite thickness:…”

Section: The Stress Potential Approachmentioning

confidence: 99%

See 2 more Smart Citations

Threading Dislocations Piercing the Free Surface of an Anisotropic Hexagonal Crystal: Review of Theoretical Approaches

Neily

Dhouibi

Bonnet

2018

Advances in Condensed Matter Physics

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Inclined threading dislocations (TDs) piercing the oriented free surface of a crystal are currently observed after growth of oriented thin films on substrates. Up to date the unique way to treat their anisotropic elastic properties nearby the free surface region is to use the integral formalism, which assumes no dislocation core size and needs numerical double integrations. In a first stage of the work, a new and alternative approach to the integral formalism is developed using double Fourier series and the concept of a finite core size, which is often observed in high-resolution transmission electron microscopy. In a second stage, the integral formalism and the Fourier series approaches are applied to the important case of a TD piercing the basal free surface of a hexagonal crystal. For this particular geometry, easy-to-use expressions are derived and compared to a third approach previously known for a plate-like crystal. Finally, the numerical interest and the convergence of these approaches are tested using the basal free surface of the GaN compound, in particular for TDs with Burgers vectors c and (a + c).

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Inclined dislocations in plates

Bonnet

Neily

Youssef

2014

Physica Status Solidi (b)

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International audienceWe derive the elastic field of a periodic series of straight, inclined, dislocations in a plate using isotropic elasticity for the three components of their common Burgers vector. Explicit expressions are obtained and lead to an easy formulation of spatial derivatives. The displacement field of an isolated dislocation is described asymptotically when the dislocations are distant from each other. A few numerical applications illustrate the stress fields around screw and edge dislocations. In addition, for tungsten, calculations of elastic stored energy give the equilibrium direction of the inclined dislocation as a function of the orientation of its Burgers vector

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Dislocations Emerging at Planar Boundaries

Cited by 20 publications

References 48 publications

Surface effects on image stresses and dislocation pile-ups in anisotropic bi-crystals

Surface effects on image stresses and dislocation pile-ups in anisotropic bi-crystals

Threading Dislocations Piercing the Free Surface of an Anisotropic Hexagonal Crystal: Review of Theoretical Approaches

Inclined dislocations in plates

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