Evaluating the performance of microstructure generation algorithms for 2-D foam-like representative volume elements

Alsayednoor, J. and Harrison, P. (2016) Evaluating the performance of microstructure generation algorithms for 2-D foam-like representative volume elements. Mechanics of Materials, 98, pp. 44-58. (doi:10.1016/j.mechmat.2016.04.001)

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Abstract

This investigation evaluates various numerical algorithms; each designed to generate periodic 2-D Representative Volume Elements (RVEs) containing foam-like microstructures suitable for direct import into commercial finite element software for mechanical evaluation. The operation of each algorithm is discussed and the resulting RVEs are examined from both a mechanical and a morphological perspective. A basic Voronoi-based algorithm is found to be simple to implement but the method is shown to produce inherently anisotropic microstructures. Increasing the degree of irregularity of the microstructure reduces the anisotropy but at the cost of creating unrealistic microstructures, containing highly angular cells. A method of modifying such unrealistic microstructures using a centroidal tessellation relaxation algorithm is demonstrated, ultimately producing RVEs with relatively realistic mono-disperse microstructures. An alternative algorithm is also investigated the advantage of this algorithm is its ability to generate poly-disperse microstructures, with a controllable degree of poly-dispersity and an almost fully isotropic mechanical response.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Alsayednoor, Dr Jafar and Harrison, Dr Philip
Authors: Alsayednoor, J., and Harrison, P.
College/School:College of Science and Engineering > School of Engineering > Systems Power and Energy
Journal Name:Mechanics of Materials
Publisher:Elsevier
ISSN:0167-6636
ISSN (Online):1872-7743
Published Online:21 April 2016
Copyright Holders:Copyright © 2016 The Authors
First Published:First published in Mechanics of Materials 98:44-58
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
518721Engineering and Physical Sciences Doctoral Training Grant 2009-13Mary GoodmanEngineering & Physical Sciences Research Council (EPSRC)EP/P504937/1VICE PRINCIPAL RESEARCH & ENTERPRISE