Macroscopic dislocation modelling
<p>Work-hardened metals typically possess large numbers of dislocations in complex three-dimensional configurations about which little is known theoretically. Here these large numbers of dislocations are accounted for by means of a dislocation density tensor, which is obtained by applying an a...
| Main Authors: | , |
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| Format: | Thesis |
| Language: | English |
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1992
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| _version_ | 1797100544837287936 |
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| author | Tighe, S Tighe, Stephen Patrick |
| author2 | Ockendon, J |
| author_facet | Ockendon, J Tighe, S Tighe, Stephen Patrick |
| author_sort | Tighe, S |
| collection | OXFORD |
| description | <p>Work-hardened metals typically possess large numbers of dislocations in complex three-dimensional configurations about which little is known theoretically. Here these large numbers of dislocations are accounted for by means of a dislocation density tensor, which is obtained by applying an averaging process to families of discrete dislocations. Some simple continuous distributions are examined and an analogy is drawn with solenoids in electromagnetism before the question of the equilibrium of dislocation configurations is studied. It is then proved that the only finite, simply-connected distribution of dislocations in equilibrium in the absence of applied stresses are ones in which all components of stress vanish everywhere. Some examples of these zero stress everywhere (ZSE) distributions are then given, and the concept of 'plastic distortion' is used to facilitate their interpretation as rotations of the crystal lattice.</p> <p>Plastic distortion can also be understood as a distribution of infinitesimal dislocation loops ('Kroupa loops'), and this idea is used in Chapter 4 to investigate the dislocation distributions which correspond to elastic inclusions.</p> <p>The evolution, under an applied stress, of some simple ZSEs is analysed, and the idea of 'polarisation' is introduced, again in analogy with electromagnetism. Finally, a mechanism is conjectured for the onset of plastic flow.</p> |
| first_indexed | 2024-03-07T05:39:04Z |
| format | Thesis |
| id | oxford-uuid:e4f00d59-71b0-43c0-b141-0bb7e6108fff |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:39:04Z |
| publishDate | 1992 |
| record_format | dspace |
| spelling | oxford-uuid:e4f00d59-71b0-43c0-b141-0bb7e6108fff2022-03-27T10:20:19ZMacroscopic dislocation modellingThesishttp://purl.org/coar/resource_type/c_db06uuid:e4f00d59-71b0-43c0-b141-0bb7e6108fffDislocations in crystalsDislocations in metalsEnglishPolonsky Theses Digitisation Project1992Tighe, STighe, Stephen PatrickOckendon, JHowison, SHowison, SOckendon, J<p>Work-hardened metals typically possess large numbers of dislocations in complex three-dimensional configurations about which little is known theoretically. Here these large numbers of dislocations are accounted for by means of a dislocation density tensor, which is obtained by applying an averaging process to families of discrete dislocations. Some simple continuous distributions are examined and an analogy is drawn with solenoids in electromagnetism before the question of the equilibrium of dislocation configurations is studied. It is then proved that the only finite, simply-connected distribution of dislocations in equilibrium in the absence of applied stresses are ones in which all components of stress vanish everywhere. Some examples of these zero stress everywhere (ZSE) distributions are then given, and the concept of 'plastic distortion' is used to facilitate their interpretation as rotations of the crystal lattice.</p> <p>Plastic distortion can also be understood as a distribution of infinitesimal dislocation loops ('Kroupa loops'), and this idea is used in Chapter 4 to investigate the dislocation distributions which correspond to elastic inclusions.</p> <p>The evolution, under an applied stress, of some simple ZSEs is analysed, and the idea of 'polarisation' is introduced, again in analogy with electromagnetism. Finally, a mechanism is conjectured for the onset of plastic flow.</p> |
| spellingShingle | Dislocations in crystals Dislocations in metals Tighe, S Tighe, Stephen Patrick Macroscopic dislocation modelling |
| title | Macroscopic dislocation modelling |
| title_full | Macroscopic dislocation modelling |
| title_fullStr | Macroscopic dislocation modelling |
| title_full_unstemmed | Macroscopic dislocation modelling |
| title_short | Macroscopic dislocation modelling |
| title_sort | macroscopic dislocation modelling |
| topic | Dislocations in crystals Dislocations in metals |
| work_keys_str_mv | AT tighes macroscopicdislocationmodelling AT tighestephenpatrick macroscopicdislocationmodelling |