Dislocation theory of the elastic twinning of crystals

Kosevich, A.M.; Boiko, V. S.

doi:10.3367/ufnr.0104.197106b.0201

Cited by 42 publications

(5 citation statements)

References 4 publications

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“…A similar picture was previously observed for the stress field produced in the vicinity of a dislocation wall [4].…”

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confidence: 84%

“…According to the dislocation theory of elastic twins, their boundary is formed by either edge or screw dislocations [1,4], and the stress fields produced by such dislocation clusters are superpositions of stresses induced by individual dislocations. Information on particular stress-field configurations in the vicinity of wedge-shaped twins, however, is lacking at the moment, because the twin boundaries are formed by numerous dislocations whose density at the twin boundaries reaches 10 4 -10 6 cm −2 [5]), and summation of stresses induced by individual dislocations is a labor-consuming problem.…”

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confidence: 99%

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Features of evolution of wedge-shaped twins in bismuth single crystals subjected to polysynthetic twinning

Остриков

2008

J Appl Mech Tech Phys

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TO POLYSYNTHETIC TWINNING UDC 548.24 O. M. Ostrikov Features of evolution of wedge-shaped twins in bismuth single crystals with polysynthetic twins are examined. Polysynthetic twins are found to promote an increase in number, and a decrease in length, of indentation-induced wedge-shaped twins. The latter quantities depend on the density of twins in a polysynthetic twin. Based on the dislocation model, stress fields in the vicinity of wedge-shaped and polysynthetic twins are calculated at a mesoscopic level.

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“…A similar picture was previously observed for the stress field produced in the vicinity of a dislocation wall [4].…”

supporting

confidence: 84%

mentioning

confidence: 99%

Features of evolution of wedge-shaped twins in bismuth single crystals subjected to polysynthetic twinning

Остриков

2008

J Appl Mech Tech Phys

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“…In addition, the twin interface thickness has a lower value normal to the habit plane for the anisotropic surface energy when compared with the ideal isotropic one. This may be related to the contribution of the core and elastic energies to the total surface energy of the interface [92]. For large deformation simulations (Fig.…”

Section: Validation Of the Phase-field Model And Twin Order Parameter...mentioning

confidence: 99%

Phase-field approach to evolution and interaction of twins in single crystal magnesium

et al. 2022

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Crack initiation and propagation as well as abrupt occurrence of twinning are challenging fracture problems where the transient phase-field approach is proven to be useful. Early-stage twinning growth and interactions are in focus herein for a magnesium single crystal at the nanometer length-scale. We demonstrate a basic methodology in order to determine the mobility parameter that steers the kinetics of phase-field propagation. The concept is to use already existing molecular dynamics simulations and analytical solutions in order to set the mobility parameter correctly. In this way, we exercise the model for gaining new insights into growth of twin morphologies, temporally-evolving spatial distribution of the shear stress field in the vicinity of the nanotwin, multi-twin, and twin-defect interactions. Overall, this research addresses gaps in our fundamental understanding of twin growth, while providing motivation for future discoveries in twin evolution and their effect on next-generation material performance and design.

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“…This model allows the stress fields inside the twin to be calculated, in contrast to the known model of a thin twin [2]. The model can also take into account both the shapes of the wedge-twin boundaries and the specific features of the distribution of twinning dislocations on the boundaries.…”

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confidence: 99%

“…Such twins usually have a high density of twinning dislocations on the boundaries. Figure 2a shows the distribution of shear stresses for the case of identical densities of twinning dislocations on two twin boundaries and the shape of the boundaries described by functions (2). The distribution of the shear stress field is symmetric with respect to the Ox axis.…”

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confidence: 99%

Effect of the density of twinning dislocations on the configuration of stress fields near a wedge twin with different shapes of the boundaries

Остриков¹

2008

J Appl Mech Tech Phy

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UDC 536.24 O. M. Ostrikov The effect of changes in density of twinning dislocations on one boundary of the wedge twin on the configuration of the stress fields generated by the latter is considered on the basis of a macroscopic dislocation model. Specific features of violation of symmetry of the stress-field distribution near the wedge twin with different shapes of the boundaries are demonstrated for the case of different densities of twinning dislocations on the twin boundaries.

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Dislocation theory of the elastic twinning of crystals

Cited by 42 publications

References 4 publications

Features of evolution of wedge-shaped twins in bismuth single crystals subjected to polysynthetic twinning

Features of evolution of wedge-shaped twins in bismuth single crystals subjected to polysynthetic twinning

Phase-field approach to evolution and interaction of twins in single crystal magnesium

Effect of the density of twinning dislocations on the configuration of stress fields near a wedge twin with different shapes of the boundaries

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