Identification methodology of a rate-sensitive constitutive law with mean field and full field modeling approaches for polycrystalline materials

Yann Charles; Chunping Zhang; Monique Gaspérini; Brigitte Bacroix

doi:10.5802/crmeca.56

Identification methodology of a rate-sensitive constitutive law with mean field and full field modeling approaches for polycrystalline materials

Yann Charles ¹ ; Chunping Zhang ² ; Monique Gaspérini ¹ ; Brigitte Bacroix ³

¹ Université Sorbonne Paris Nord, Laboratoire des Sciences des Procédés et des Matériaux, LSPM, CNRS, UPR 3407, F-93430, Villetaneuse, France
² Département de Génie Mécanique, École de Technologie Supérieure, 1100 Rue Notre-Dame Ouest, Montréal, QC H3C 1K3, Canada
³ CNRS, UPR3407, Laboratoire des Sciences des Procédés et des Matériaux, LSPM, Université Sorbonne Paris Nord, F-93430, Villetaneuse, France

Comptes Rendus. Mécanique, Volume 348 (2020) no. 10-11, pp. 807-826.

Résumé

The present paper deals with the consideration of the rate-sensitivity mechanical behavior of metallic materials, in the framework of mean field and full field homogenization approaches. We re-examine the possibility of describing properly this rate sensitivity with a simple and widely used power law expressed at the level of the slip system, and we propose a methodology to accelerate the identification of the global material constitutive law for Finite Element (FE) simulations. For such an aim, simulations of a tensile test are conducted, using a simple homogenization model (the Taylor one, used in a relaxed constraint form) and an FE code (Abaqus), both using the same single-crystal rate-dependent constitutive law. It is shown that, provided that the identification of this law is performed with care and well adapted to the examined case (rate-sensitive or insensitive materials, static and/or dynamic ranges), the simple power law can be used to simulate the macroscopic behavior of polycrystalline aggregates in a wide range of strain rate (including both static and dynamic regimes) and strain-rate sensitivity values (up the rate-insensitive limit).

Reçu le : 2020-07-28
Révisé le : 2020-10-08
Accepté le : 2020-10-19
Première publication : 2020-12-09
Publié le : 2021-01-13

DOI : 10.5802/crmeca.56

Mots clés : Viscoplasticity, Polycrystalline materials, Strain-rate sensitivity, Finite Element, Constitutive law

Affiliations des auteurs :

Yann Charles ¹ ; Chunping Zhang ² ; Monique Gaspérini ¹ ; Brigitte Bacroix ³

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     author = {Yann Charles and Chunping Zhang and Monique Gasp\'erini and Brigitte Bacroix},
     title = {Identification methodology of a rate-sensitive constitutive law with mean field and full field modeling approaches for polycrystalline materials},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {807--826},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {348},
     number = {10-11},
     year = {2020},
     doi = {10.5802/crmeca.56},
     language = {en},
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Yann Charles; Chunping Zhang; Monique Gaspérini; Brigitte Bacroix. Identification methodology of a rate-sensitive constitutive law with mean field and full field modeling approaches for polycrystalline materials. Comptes Rendus. Mécanique, Volume 348 (2020) no. 10-11, pp. 807-826. doi : 10.5802/crmeca.56. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.56/

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