A new representation of the strain field associated with the cube-edge dislocation in a model of a α-iron

Gehlen, P. C.; Hirth, J. P.; Hoagland, R. G.; Kanninen, M. F.

doi:10.1063/1.1660850

Cited by 80 publications

(46 citation statements)

References 30 publications

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“…The purpose of this paper is to extend the modeling approach 11 of the core field within anisotropic linear elasticity so as to include its contribution in energy calculations. Previous studies, which have considered this core field contribution, either assumed that the elastic behavior is isotropic 4,5,7,9 , or that the elastic constants obey a given symmetry 5,11 incompatible for instance with a 111 screw dislocation in a cubic crystal.…”

Section: Introductionmentioning

confidence: 99%

“…Until now, only few studies 4,5,7,9 have included this core field in the calculation of the elastic energy of dislocations or of their interaction with an external stress field. Most of the time, dislocation elastic energies are obtained by considering only the Volterra elastic field.…”

Section: Introductionmentioning

confidence: 99%

“…Without the core field, only modes II and III would be possible. The core field can also alter dislocation properties such as their elastic energy 6,9 or their dissociation distance in fcc metals 4,5 . Finally, it contributes to the elastic interaction between dislocations and impurities, and thus may explain part of the solid solution hardening 10 .…”

Section: Introductionmentioning

confidence: 99%

“…One can use atomistic simulations, either based on empirical potentials or on ab initio calculations, so as to take full account of the core field when studying dislocations. On the other hand, the core field can be modeled within linear elasticity theory, using an equilibrated distribution of line forces parallel to the dislocation and located close to its core 9,[11][12][13] . A multipole expansion of the distribution leads then to an expression of the core field in term of a series.…”

Section: Introductionmentioning

confidence: 99%

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Dislocation core field. I. Modeling in anisotropic linear elasticity theory

Clouet

2011

Phys. Rev. B

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Aside from the Volterra field, dislocations create a core field, which can be modeled in linear anisotropic elasticity theory with force and dislocation dipoles. We derive an expression of the elastic energy of a dislocation taking full account of its core field and show that no cross term exists between the Volterra and the core fields. We also obtain the contribution of the core field to the dislocation interaction energy with an external stress, thus showing that dislocation can interact with a pressure. The additional force that derives from this core field contribution is proportional to the gradient of the applied stress. Such a supplementary force on dislocations may be important in high stress gradient regions, such as close to a crack tip or in a dislocation pile-up.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Dislocation core field. I. Modeling in anisotropic linear elasticity theory

Clouet

2011

Phys. Rev. B

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“…Nonlinear core configurations can be represented by sets of line force dipoles or dislocation dipoles 29,30 . These are of the same sign for a given type of dislocation and therefore would qualitatively predict core-core repulsion.…”

Section: Introductionmentioning

confidence: 99%

Screw-dislocation constrictions in face-centered cubic crystals

Martínez

Hirth

2014

Phys. Rev. B

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We show, using molecular statics and dynamics simulations along with dislocation dynamics calculations, that the structure of a screw dislocation in a thin film or at a free surface for face-centered cubic Cu differs from that found in bulk. In agreement with earlier work, a screw dislocation at the surface is observed to dissociate in two different {111} planes, forming a constriction at the site where the glide plane changes. We analyze in detail the energetics of the structure and conclude that the constricted configuration is stable due to the long-range elastic interactions. We have also performed shear stress simulations and compared to bulk stress to understand how the constriction modifies the response of the dislocation to an applied load. We found that such constriction represents a strong pinning point, substantially increasing the yield stress required for the dislocation to glide. In contrast, the configuration provides a barrierless source for the dislocation to cross slip.

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