Article (Scientific journals)
A finite strain incremental-secant homogenization model for elasto-plastic composites
El Ghezal, Marieme Imene; Wu, Ling; Noels, Ludovic et al.
2019In Computer Methods in Applied Mechanics and Engineering, 347, p. 754-781
Peer Reviewed verified by ORBi
 

Files


Full Text
2019_CMAME_MFHLD.pdf
Author postprint (5.07 MB)
Download

NOTICE: this is the author’s version of a work that was accepted for publication in Computer Methods in Applied Mechanics and Engineering. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computer Methods in Applied Mechanics and Engineering 347 (2019) 754-781, DOI: 10.1016/j.cma.2018.12.007


All documents in ORBi are protected by a user license.

Send to



Details



Keywords :
Mean-field homogenization; Incremental-secant formulation; Finite strains; Mori-Tanaka model; Composites
Abstract :
[en] This paper presents a finite strain extension of the incremental-secant mean-field homogenization (MFH) formulation for two-phase elasto-plastic composites. The formulation of the local finite strain elasto-plastic constitutive equations of each phase is based on a multiplicative decomposition of the deformation gradient as suggested by Simo in (Computer Methods in Applied Mechanics and Engineering, 99(1):61–112, 1992.). The latter has proposed algorithms which preserve the classical return mapping schemes of the infinitesimal theory by using principal Kirchhoff stresses and logarithmic eigenvalues of the left elastic Cauchy-Green strain. Relying on this property, we show that, by considering a quadratic logarithmic free energy and J2-flow theory at the local level, infinitesimal strain incremental-secant MFH is readily extended to finite strains. The proposed formulation and corresponding numerical algorithms are then presented. Finally, the predictions are illustrated with several numerical simulations which are verified against full-field finite element simulations of composite cells, demonstrating that the micro-mechanically based approach is able to predict the influence of the micro-structure and of its evolution on the macroscopic properties in a very cost-effective manner.
Research center :
A&M - Aérospatiale et Mécanique - ULiège
Disciplines :
Materials science & engineering
Mechanical engineering
Author, co-author :
El Ghezal, Marieme Imene;  e-Xstream SA
Wu, Ling ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3)
Noels, Ludovic  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3)
Doghri, Issam;  Université Catholique de Louvain - UCL
Language :
English
Title :
A finite strain incremental-secant homogenization model for elasto-plastic composites
Publication date :
15 April 2019
Journal title :
Computer Methods in Applied Mechanics and Engineering
ISSN :
0045-7825
eISSN :
1879-2138
Publisher :
Elsevier, Netherlands
Volume :
347
Pages :
754-781
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 04 December 2018

Statistics


Number of views
140 (23 by ULiège)
Number of downloads
384 (9 by ULiège)

Scopus citations®
 
6
Scopus citations®
without self-citations
5
OpenCitations
 
6

Bibliography


Similar publications



Contact ORBi