Nonlocal DamageEnhanced MFH for Multiscale Simulations of Composites
 Ling Wu,
 Ludovic Noels,
 Laurent Adam,
 Issam Doghri
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Abstract
In this work, a gradientenhanced meanfield homogenization (MFH) procedure is proposed for fiber reinforced materials. In this approach, the fibers are assumed to remain linear elastic while the matrix material obeys an elastoplastic behavior enhanced by a damage model. As classical finite element simulations face the problems of losing uniqueness and strain localization when strain softening of materials is involved, we develop the meanfield homogenization in a nonlocal way. Toward this end we use the socalled nonlocal implicit approach, reformulated in an anisotropic way to describe the damage in the matrix. As a result we have a multiscale model that can be used to study the damage process at the mesoscale, and in particular the damaging of plies in a composite stack, in an efficient computational way. As a demonstration a stack with a hole is studied and it is shown that the model predicts the damaging process in bands oriented with the fibers directions.
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 Title
 Nonlocal DamageEnhanced MFH for Multiscale Simulations of Composites
 Book Title
 Composite Materials and Joining Technologies for Composites, Volume 7
 Book Subtitle
 Proceedings of the 2012 Annual Conference on Experimental and Applied Mechanics
 Pages
 pp 115121
 Copyright
 2013
 DOI
 10.1007/9781461445531_13
 Print ISBN
 9781461445524
 Online ISBN
 9781461445531
 Series Title
 Conference Proceedings of the Society for Experimental Mechanics Series
 Series ISSN
 21915644
 Publisher
 Springer New York
 Copyright Holder
 The Society for Experimental Mechanics, Inc.
 Additional Links
 Topics
 Keywords

 Meanfield homogenization
 Nonlocal
 Composites
 Damage
 Anisotropy
 Industry Sectors
 eBook Packages
 Editors

 Eann Patterson ^{(ID1)}
 David Backman ^{(ID2)}
 Gary Cloud ^{(ID3)}
 Editor Affiliations

 ID1. University of Liverpool
 ID2. National Research Council Canada
 ID3. Michigan State University
 Authors

 Ling Wu ^{(1)} ^{(2)}
 Ludovic Noels ^{(1)}
 Laurent Adam ^{(3)}
 Issam Doghri ^{(3)} ^{(4)}
 Author Affiliations

 1. University of Liege, LTASCM3, Chemin des Chevreuils 1, Liège, B4000, Belgium
 2. Northwestern Polytechnical University, School of Aeronautics, Xi’an, 710072, China
 3. eXstream Engineering, Rue du Bosquet, 7, LouvainlaNeuve, 1348, Belgium
 4. Université Catholique de Louvain, Bâtiment Euler, 1348, LouvainlaNeuve, Belgium
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