Discrete structures in continuum descriptions of defective crystals

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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

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Official URL: http://rsta.royalsocietypublishing.org/content/374/2066/20150172

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.

Item Type:

Article

RIS ID:

https://nottingham-repository.worktribe.com/output/779779

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

Keywords:

Crystals, defects, Lie groups, discrete structures.

Schools/Departments:

University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences

Identification Number:

https://doi.org/10.1098/rsta.2015.0172

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