Reference : A micro-mechanics-based inverse study for stochastic order reduction of elastic UD-fi...
Scientific journals : Article
Engineering, computing & technology : Mechanical engineering
Engineering, computing & technology : Aerospace & aeronautics engineering
Engineering, computing & technology : Materials science & engineering
http://hdl.handle.net/2268/224791
A micro-mechanics-based inverse study for stochastic order reduction of elastic UD-fiber reinforced composites analyzes
English
Wu, Ling mailto [Université de Liège - ULiège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3) >]
Adam, Laurent [e-Xstream Engineering > > > >]
Noels, Ludovic mailto [Université de Liège - ULiège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3) >]
21-Sep-2018
International Journal for Numerical Methods in Engineering
John Wiley & Sons
115
12
1430-1456
Yes (verified by ORBi)
International
0029-5981
1097-0207
Hoboken
United States
[en] Multiscale ; Stochastic problems ; Order reduction ; Mean-Field Homogenization ; Composites
[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.
Aérospatiale et Mécanique - A&M
Service public de Wallonie : Direction générale opérationnelle de l'économie, de l'emploi et de la recherche - DG06
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.
Researchers ; Professionals ; Students
http://hdl.handle.net/2268/224791
10.1002/nme.5903
https://doi.org/10.1002/nme.5903
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
H2020 ; 685451 - M-ERA.NET 2 - ERA-NET for materials research and innovation

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