Reference : A finite strain incremental-secant homogenization model for elasto-plastic composites
Scientific journals : Article
Engineering, computing & technology : Mechanical engineering
Engineering, computing & technology : Materials science & engineering
http://hdl.handle.net/2268/229851
A finite strain incremental-secant homogenization model for elasto-plastic composites
English
El Ghezal, Marieme Imene [e-Xstream SA > > > >]
Wu, Ling mailto [Université de Liège - ULiège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3) >]
Noels, Ludovic mailto [Université de Liège - ULiège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3) >]
Doghri, Issam [Université Catholique de Louvain - UCL > > > >]
15-Apr-2019
Computer Methods in Applied Mechanics and Engineering
Elsevier
347
754-781
Yes (verified by ORBi)
International
0045-7825
Netherlands
[en] Mean-field homogenization ; Incremental-secant formulation ; Finite strains ; Mori-Tanaka model ; Composites
[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.
Aérospatiale et Mécanique - A&M
Researchers ; Professionals
http://hdl.handle.net/2268/229851
10.1016/j.cma.2018.12.007
http://dx.doi.org/10.1016/j.cma.2018.12.007
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

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