An excursion into representative volume elements and unit cells

Li, Shuguang; Sitnikova, Elena

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.

Citation

Li, S., & Sitnikova, E. (2017). 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). Amsterdam: Elsevier. https://doi.org/10.1016/B978-0-12-803581-8.10352-2

• Acceptance Date: Mar 13, 2017
• Online Publication Date: Aug 28, 2017
• Publication Date: Aug 28, 2017
• Deposit Date: Jun 15, 2017
• Publicly Available Date: Aug 29, 2019
• 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
• DOI: https://doi.org/10.1016/B978-0-12-803581-8.10352-2
• Public URL: https://nottingham-repository.worktribe.com/output/850080
• Publisher URL: https://www.sciencedirect.com/science/article/pii/B9780128035818103522