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Discrete structures in continuum descriptions of defective crystals

Parry, Gareth P.

Authors

Gareth P. Parry



Abstract

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.

Citation

Parry, G. P. (2016). Discrete structures in continuum descriptions of defective crystals. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 374(2066), https://doi.org/10.1098/rsta.2015.0172

Journal Article Type Article
Online Publication Date Apr 28, 2016
Publication Date Mar 21, 2016
Deposit Date Dec 7, 2015
Publicly Available Date Mar 28, 2024
Journal Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences
Print ISSN 1364-503X
Electronic ISSN 1471-2962
Publisher The Royal Society
Peer Reviewed Peer Reviewed
Volume 374
Issue 2066
DOI https://doi.org/10.1098/rsta.2015.0172
Keywords Crystals, defects, Lie groups, discrete structures.
Public URL https://nottingham-repository.worktribe.com/output/779779
Publisher URL http://rsta.royalsocietypublishing.org/content/374/2066/20150172
Related Public URLs http://rsta.royalsocietypublishing.org/content/by/year
Additional Information Parry GP. 2016. Discrete structures in continuum descriptions of defective crystals. Phil. Trans. R. Soc. A 374: 20150172.
http://dx.doi.org/10.1098/rsta.2015.0172

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