An excursion into representative volume elements and unit cells

Li, Shuguang and Sitnikova, Elena (2017) An excursion into representative volume elements and unit cells. In: Comprehensive Composite Materials II. Elsevier. (In Press)

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Abstract

The objective of this chapter is to provide a comprehensive and systematic account on the subject of representative volume elements (RVEs) and unit cells (UCs). To construct an RVE or UC, intuition has been often perceived sufficient to facilitate the analysis, but down to the details, approaches taken turn out to be rather mythological. It will be demonstrated in this chapter that there is absolutely no room for any myth on the subject if the basic concepts of mathematics and mechanics, viz. symmetry and free body diagrams, have been applied correctly and consistently. Only then, effective and reliable means of material characterisation based on the use of RVEs and UCs can be established, in particular, for composites where micro/mesostructures often dictate their behaviours. The logic employed defines the boundary of applicability of the methodology.

Item Type: Book Section
Schools/Departments: University of Nottingham, UK > Faculty of Engineering
Depositing User: Eprints, Support
Date Deposited: 15 Jun 2017 09:55
Last Modified: 13 Oct 2017 00:00
URI: http://eprints.nottingham.ac.uk/id/eprint/43594

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