Article (Scientific journals)
A micro-mechanics-based inverse study for stochastic order reduction of elastic UD-fiber reinforced composites analyzes
Wu, Ling; Adam, Laurent; Noels, Ludovic
2018In International Journal for Numerical Methods in Engineering, 115 (12), p. 1430-1456
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This is the submitted version of the paper "A damage to crack transition model accounting for stress triaxiality formulated in a hybrid non-local implicit discontinuous Galerkin - cohesive band model framework, International Journal for Numerical Methods in Engineering VOL 115, PAGE 1430-1456, 10.1002/nme.5903" which has been published in final form on URL https://doi.org/10.1002/nme.5903


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Keywords :
Multiscale; Stochastic problems; Order reduction; Mean-Field Homogenization; Composites
Abstract :
[en] This research develops a stochastic mean-field-homogenization (MFH) process that is used as Reduced Order Model (ROM) to carry out a statistical multiscale analysis on unidirectional (UD) fiber reinforced composites. First full-field simulations of UD Stochastic Volume Elements (SVEs), whose statistical description is obtained from SEM images, are conducted to define statistical meso-scale apparent properties. A stochastic Mori-Tanaka MFH model is then developed through an inverse stochastic identification process performed on the apparent elastic properties obtained by full-field simulations. As a result, a random vector of the effective elastic properties of phases and micro-structure information of the Mori-Tanaka model is inferred. In order to conduct Stochastic Finite Element Method (SFEM) analyzes, a generator of this random vector is then constructed using the copula method, allowing predicting the statistical response of a composite ply under bending. The statistical dependence of the random vector entries is shown to be respected by the generator. Although this work is limited to the elastic response, we believe that the stochastic Mori-Tanaka model can be extended to nonlinear behaviors in order to conduct efficient stochastic multiscale simulations.
Research center :
A&M - Aérospatiale et Mécanique - ULiège
Disciplines :
Mechanical engineering
Materials science & engineering
Aerospace & aeronautics engineering
Author, co-author :
Wu, Ling ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3)
Adam, Laurent;  e-Xstream Engineering
Noels, Ludovic  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3)
Language :
English
Title :
A micro-mechanics-based inverse study for stochastic order reduction of elastic UD-fiber reinforced composites analyzes
Publication date :
21 September 2018
Journal title :
International Journal for Numerical Methods in Engineering
ISSN :
0029-5981
eISSN :
1097-0207
Publisher :
John Wiley & Sons, Hoboken, United States
Volume :
115
Issue :
12
Pages :
1430-1456
Peer reviewed :
Peer Reviewed verified by ORBi
European Projects :
H2020 - 685451 - M-ERA.NET 2 - ERA-NET for materials research and innovation
Name of the research project :
The research has been funded by the Walloon Region under the agreement no 1410246 - STOMMMAC (CT-INT2013-03-28) in the context of the M-ERA.NET Joint Call 2014.
Funders :
Service public de Wallonie : Direction générale opérationnelle de l'économie, de l'emploi et de la recherche - DG06
CE - Commission Européenne [BE]
Available on ORBi :
since 11 June 2018

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