Discrete structures in continuum descriptions of defective crystals
I discuss various mathematical constructions that combine together to provide a natural setting for discrete and continuum geometric models of defective crystals. In particular I provide a quite general list of `plastic strain variables', which quantifies inelastic behaviour, and exhibit rigoro...
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| Format: | Article |
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The Royal Society
2016
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| Online Access: | https://eprints.nottingham.ac.uk/30995/ |
| _version_ | 1848794106582532096 |
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| author | Parry, Gareth P. |
| author_facet | Parry, Gareth P. |
| author_sort | Parry, Gareth P. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | I discuss various mathematical constructions that combine together to provide a natural setting for discrete and continuum geometric models of defective crystals. In particular I provide a quite general list of `plastic strain variables', which quantifies inelastic behaviour, and exhibit rigorous connections between discrete and continuous mathematical structures associated with crystalline materials that have a correspond-ingly general constitutive specification. |
| first_indexed | 2025-11-14T19:10:55Z |
| format | Article |
| id | nottingham-30995 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:10:55Z |
| publishDate | 2016 |
| publisher | The Royal Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-309952020-05-04T17:41:11Z https://eprints.nottingham.ac.uk/30995/ Discrete structures in continuum descriptions of defective crystals Parry, Gareth P. I discuss various mathematical constructions that combine together to provide a natural setting for discrete and continuum geometric models of defective crystals. In particular I provide a quite general list of `plastic strain variables', which quantifies inelastic behaviour, and exhibit rigorous connections between discrete and continuous mathematical structures associated with crystalline materials that have a correspond-ingly general constitutive specification. The Royal Society 2016-03-21 Article PeerReviewed Parry, Gareth P. (2016) Discrete structures in continuum descriptions of defective crystals. Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences, 374 . ISSN 1471-2962 Crystals defects Lie groups discrete structures. http://rsta.royalsocietypublishing.org/content/374/2066/20150172 doi:10.1098/rsta.2015.0172 doi:10.1098/rsta.2015.0172 |
| spellingShingle | Crystals defects Lie groups discrete structures. Parry, Gareth P. Discrete structures in continuum descriptions of defective crystals |
| title | Discrete structures in continuum descriptions of defective crystals |
| title_full | Discrete structures in continuum descriptions of defective crystals |
| title_fullStr | Discrete structures in continuum descriptions of defective crystals |
| title_full_unstemmed | Discrete structures in continuum descriptions of defective crystals |
| title_short | Discrete structures in continuum descriptions of defective crystals |
| title_sort | discrete structures in continuum descriptions of defective crystals |
| topic | Crystals defects Lie groups discrete structures. |
| url | https://eprints.nottingham.ac.uk/30995/ https://eprints.nottingham.ac.uk/30995/ https://eprints.nottingham.ac.uk/30995/ |