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An excursion into representative volume elements and unit cells

Li, Shuguang; Sitnikova, Elena

Authors

Shuguang Li

Elena Sitnikova



Contributors

Peter W.R. Beaumont
Editor

Carl H. Zweben
Editor

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.

Publication Date Feb 1, 2018
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 1
Pages 451-489
Book Title Comprehensive Composite Materials II, Volume 1, Reinforcements and General Theories of Composites
Chapter Number 18
ISBN 9780081005330
APA6 Citation Li, S., & Sitnikova, E. (2018). An excursion into representative volume elements and unit cells. In P. W. Beaumont, & C. H. Zweben (Eds.), Comprehensive Composite Materials II, Volume 1, Reinforcements and General Theories of Composites, 451-489. Elsevier. doi:10.1016/B978-0-12-803581-8.10352-2
DOI https://doi.org/10.1016/B978-0-12-803581-8.10352-2
Publisher URL https://www.sciencedirect.com/science/article/pii/B9780128035818103522
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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