This is the accepted version of the following article: Calleja Vazquez, J. M., Wu, L., Nguyen, V. D., & Noels, L. (25 May 2022). An Incremental-Secant Mean-Field Homogenization Model Enhanced With a Non-Associated Pressure-Dependent Plasticity Model. International Journal for Numerical Methods in Engineering, 123 (19), 4616-4654. doi:10.1002/nme.7048, which has been published in final form at http://doi.org/10.1002/nme.7048 . This article may be used for non-commercial purposes in accordance with the Wiley Self-Archiving Policy [http://www.wileyauthors.com/self-archiving].
[en] This paper introduces a, possibly damage-enhanced, pressure-dependent based incremental-secant mean-field homogenization (MFH) scheme for two-phase composites.
The incremental-secant formulation consists on a fictitious unloading of the material up to a stress-free state, in which a residual stress is attained in its phases.
Then the secant method is performed in order to compute the mean stress fields of
each phase. One of the main advantages of this method is the natural isotropicity of
the secant tensors that allows defining the Linear-Comparison-Composite (LCC). In
this work, we show that this isotropic nature is preserved for a non-associated pressure
dependent plastic flow, making possible the direct definition of the LCC. This model is thus able to represent the physics of real polymeric composites. The MFH scheme is then verified by testing its prediction capabilities in several cases, including cyclic and non-proportional loading involving perfectly elastic phases, elasto-plastic and damage-enhanced elasto-plastic phases in random Representative Volume Elements (RVE) of Uni-Directional (UD) composites and of composites reinforced with spherical inclusions.
Calleja Vazquez, Juan Manuel ; Université de Liège - ULiège > Faculté des Sciences Appliquées > Form. doct. sc. ingé. & techno. (aéro. & mécan. - Paysage) ; Université de Liège - ULiège > Faculté des Sciences Appliquées > Doct. sc. ingé. & techno. (aérosp. & méc. - paysage)
Wu, Ling ; Université de Liège - ULiège > Aérospatiale et Mécanique (A&M) ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3)
Nguyen, Van Dung ; Université de Liège - ULiège > Aérospatiale et Mécanique (A&M) ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3)
Noels, Ludovic ; Université de Liège - ULiège > Aérospatiale et Mécanique (A&M) ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3)
Language :
English
Title :
An Incremental-Secant Mean-Field Homogenization Model Enhanced With a Non-Associated Pressure-Dependent Plasticity Model
Publication date :
25 May 2022
Journal title :
International Journal for Numerical Methods in Engineering
ISSN :
0029-5981
eISSN :
1097-0207
Publisher :
John Wiley & Sons, Hoboken, United States - New Jersey
FRIA - Fonds pour la Formation à la Recherche dans l'Industrie et dans l'Agriculture
Commentary :
This is the accepted version of the following article: Calleja Vazquez, J. M., Wu, L., Nguyen, V. D., & Noels, L. (25 May 2022). An Incremental-Secant Mean-Field Homogenization Model Enhanced With a Non-Associated Pressure-Dependent Plasticity Model. International Journal for Numerical Methods in Engineering, 123 (19), 4616-4654. doi:10.1002/nme.7048, which has been published in final form at http://doi.org/10.1002/nme.7048 . This article may be used for non-commercial purposes in accordance with the Wiley Self-Archiving Policy [http://www.wileyauthors.com/self-archiving].
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