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 |
| Language: | English |
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The Royal Society
2016
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| Online Access: | http://eprints.nottingham.ac.uk/30995/ http://eprints.nottingham.ac.uk/30995/ http://eprints.nottingham.ac.uk/30995/ http://eprints.nottingham.ac.uk/30995/1/PhilTransPreprint.pdf |
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nottingham-30995 |
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eprints |
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nottingham-309952017-10-18T18:53:35Z http://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 application/pdf en http://eprints.nottingham.ac.uk/30995/1/PhilTransPreprint.pdf 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 http://rsta.royalsocietypublishing.org/content/374/2066/20150172 doi:10.1098/rsta.2015.0172 doi:10.1098/rsta.2015.0172 |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
University of Nottingham Malaysia Campus |
| building |
Nottingham Research Data Repository |
| collection |
Online Access |
| language |
English |
| 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. |
| format |
Article |
| author |
Parry, Gareth P. |
| spellingShingle |
Parry, Gareth P. Discrete structures in continuum descriptions of defective crystals |
| author_facet |
Parry, Gareth P. |
| author_sort |
Parry, Gareth P. |
| title |
Discrete structures in continuum descriptions of defective crystals |
| title_short |
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_sort |
discrete structures in continuum descriptions of defective crystals |
| publisher |
The Royal Society |
| publishDate |
2016 |
| url |
http://eprints.nottingham.ac.uk/30995/ http://eprints.nottingham.ac.uk/30995/ http://eprints.nottingham.ac.uk/30995/ http://eprints.nottingham.ac.uk/30995/1/PhilTransPreprint.pdf |
| first_indexed |
2018-09-06T12:05:43Z |
| last_indexed |
2018-09-06T12:05:43Z |
| _version_ |
1610859720932851712 |