Dislocation Dynamics in Crystals: A Macroscopic Theory in a Fractional Laplace Setting
Abstract We consider an evolution equation arising in the Peierls–Nabarro model for crystal dislocation. We study the evolution of such a dislocation function and show that, at a macroscopic scale, the dislocations have the tendency to concentrate at single points of the crystal, where the size of t...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Dipierro, Serena [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2014 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag Berlin Heidelberg 2014 |
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| Übergeordnetes Werk: |
Enthalten in: Communications in mathematical physics - Springer Berlin Heidelberg, 1965, 333(2014), 2 vom: 29. Juli, Seite 1061-1105 |
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| Übergeordnetes Werk: |
volume:333 ; year:2014 ; number:2 ; day:29 ; month:07 ; pages:1061-1105 |
| Links: |
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| DOI / URN: |
10.1007/s00220-014-2118-6 |
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OLC2038908680 |
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| 520 | |a Abstract We consider an evolution equation arising in the Peierls–Nabarro model for crystal dislocation. We study the evolution of such a dislocation function and show that, at a macroscopic scale, the dislocations have the tendency to concentrate at single points of the crystal, where the size of the slip coincides with the natural periodicity of the medium. These dislocation points evolve according to the external stress and an interior repulsive potential. | ||
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10.1007/s00220-014-2118-6 doi (DE-627)OLC2038908680 (DE-He213)s00220-014-2118-6-p DE-627 ger DE-627 rakwb eng 530 510 VZ Dipierro, Serena verfasserin aut Dislocation Dynamics in Crystals: A Macroscopic Theory in a Fractional Laplace Setting 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2014 Abstract We consider an evolution equation arising in the Peierls–Nabarro model for crystal dislocation. We study the evolution of such a dislocation function and show that, at a macroscopic scale, the dislocations have the tendency to concentrate at single points of the crystal, where the size of the slip coincides with the natural periodicity of the medium. These dislocation points evolve according to the external stress and an interior repulsive potential. Transition Layer External Stress Comparison Principle Obstacle Problem Layer Solution Palatucci, Giampiero aut Valdinoci, Enrico aut Enthalten in Communications in mathematical physics Springer Berlin Heidelberg, 1965 333(2014), 2 vom: 29. Juli, Seite 1061-1105 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:333 year:2014 number:2 day:29 month:07 pages:1061-1105 https://doi.org/10.1007/s00220-014-2118-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4318 AR 333 2014 2 29 07 1061-1105 |
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10.1007/s00220-014-2118-6 doi (DE-627)OLC2038908680 (DE-He213)s00220-014-2118-6-p DE-627 ger DE-627 rakwb eng 530 510 VZ Dipierro, Serena verfasserin aut Dislocation Dynamics in Crystals: A Macroscopic Theory in a Fractional Laplace Setting 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2014 Abstract We consider an evolution equation arising in the Peierls–Nabarro model for crystal dislocation. We study the evolution of such a dislocation function and show that, at a macroscopic scale, the dislocations have the tendency to concentrate at single points of the crystal, where the size of the slip coincides with the natural periodicity of the medium. These dislocation points evolve according to the external stress and an interior repulsive potential. Transition Layer External Stress Comparison Principle Obstacle Problem Layer Solution Palatucci, Giampiero aut Valdinoci, Enrico aut Enthalten in Communications in mathematical physics Springer Berlin Heidelberg, 1965 333(2014), 2 vom: 29. Juli, Seite 1061-1105 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:333 year:2014 number:2 day:29 month:07 pages:1061-1105 https://doi.org/10.1007/s00220-014-2118-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4318 AR 333 2014 2 29 07 1061-1105 |
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Abstract We consider an evolution equation arising in the Peierls–Nabarro model for crystal dislocation. We study the evolution of such a dislocation function and show that, at a macroscopic scale, the dislocations have the tendency to concentrate at single points of the crystal, where the size of the slip coincides with the natural periodicity of the medium. These dislocation points evolve according to the external stress and an interior repulsive potential. © Springer-Verlag Berlin Heidelberg 2014 |
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Abstract We consider an evolution equation arising in the Peierls–Nabarro model for crystal dislocation. We study the evolution of such a dislocation function and show that, at a macroscopic scale, the dislocations have the tendency to concentrate at single points of the crystal, where the size of the slip coincides with the natural periodicity of the medium. These dislocation points evolve according to the external stress and an interior repulsive potential. © Springer-Verlag Berlin Heidelberg 2014 |
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Abstract We consider an evolution equation arising in the Peierls–Nabarro model for crystal dislocation. We study the evolution of such a dislocation function and show that, at a macroscopic scale, the dislocations have the tendency to concentrate at single points of the crystal, where the size of the slip coincides with the natural periodicity of the medium. These dislocation points evolve according to the external stress and an interior repulsive potential. © Springer-Verlag Berlin Heidelberg 2014 |
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