An excursion into representative volume elements and unit cells

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 ta...

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Main Authors: Li, Shuguang, Sitnikova, Elena
Format: Book Section
Published: Elsevier 2017
Online Access:https://eprints.nottingham.ac.uk/43594/
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author Li, Shuguang
Sitnikova, Elena
author_facet Li, Shuguang
Sitnikova, Elena
author_sort Li, Shuguang
building Nottingham Research Data Repository
collection Online Access
description 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.
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institution University of Nottingham Malaysia Campus
institution_category Local University
last_indexed 2025-11-14T19:52:31Z
publishDate 2017
publisher Elsevier
recordtype eprints
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spelling nottingham-435942020-05-04T18:37:27Z https://eprints.nottingham.ac.uk/43594/ An excursion into representative volume elements and unit cells Li, Shuguang Sitnikova, Elena 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. Elsevier 2017-03-13 Book Section PeerReviewed Li, Shuguang and Sitnikova, Elena (2017) An excursion into representative volume elements and unit cells. In: Comprehensive Composite Materials II. Elsevier. (In Press)
spellingShingle Li, Shuguang
Sitnikova, Elena
An excursion into representative volume elements and unit cells
title An excursion into representative volume elements and unit cells
title_full An excursion into representative volume elements and unit cells
title_fullStr An excursion into representative volume elements and unit cells
title_full_unstemmed An excursion into representative volume elements and unit cells
title_short An excursion into representative volume elements and unit cells
title_sort excursion into representative volume elements and unit cells
url https://eprints.nottingham.ac.uk/43594/