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 (3) , Brigitte Bacroix (3)

1 LSPM - Laboratoire des Sciences des Procédés et des Matériaux
2 ETS - 1100 Rue Notre-Dame Ouest, Montréal, QC H3C 1K3, Canada
3 LSPM - Laboratoire des Sciences des Procédés et des Matériaux

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).

Domaines: Mécanique des matériaux [physics.class-ph]

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, 2020, 348 (10-11), pp.807-826. ⟨10.5802/crmeca.56⟩. ⟨hal-03101656⟩