A numerical investigation on the heterogeneous and anisotropic mechanical behaviour of AISI H11 steel using various stress-strain formulations : a multi-scale approach

Ahmed Zouaghi 1 Vincent Velay 1 Adriana Soveja 1 Farhad Rezai-Aria 1
1 ICA - Institut Clément Ader
Abstract : In this paper, a numerical investigation is carried out on the heterogeneous and anisotropic mechanical behaviour of AISI H11 martensitic steel with a multi-scale approach. For this purpose, an elasto-viscoplastic model that considers nonlinear isotropic and kinematic hardenings is implemented in a finite element code using three stress-strain formulations: the small strain assumption where rotation is neglected; and two formulations based on finite strain theory in Eulerian framework which are respectively defined by the Jaumann-Zaremba and the Olroyd objective rates of Kirchhoff stress. The parameters of the constitutive equations are identified using macroscopic quasi-static and cyclic material responses and small strains assumption by the mean of a localization rule. By using particular Voronoi tessellations, a virtual realistic microstructure, consisting of laths and grains, is generated considering the specific crystallographic orientations alpha'/gamma (martensitic/austenitic phases) relation (i.e. Kurdjumov-Sachs relation). Finite element computations are then performed on this virtual microstructure and exhibit that; besides laths orientations, morphologies and interactions; the full-field local mechanical fields are dependant on the used stress-strain formulation.
Keywords : multi-scale modelling AISI H11 steel localization heterogeneous materials finite element objective stress rate
Document type :
Conference papers
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https://hal.archives-ouvertes.fr/hal-01611986
Contributor : Imt Mines Albi Ecole Nationale Supérieure Des Mines d'Albi-Carmaux <>
Submitted on : Friday, October 6, 2017 - 1:32:31 PM
Last modification on : Wednesday, November 6, 2019 - 3:56:16 PM

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  • HAL Id : hal-01611986, version 1

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MINES-ALBI | ICA-ALBI | CNRS | INSA-TOULOUSE | ICA | INSA-GROUPE | UNIV-TLSE3

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Ahmed Zouaghi, Vincent Velay, Adriana Soveja, Farhad Rezai-Aria. A numerical investigation on the heterogeneous and anisotropic mechanical behaviour of AISI H11 steel using various stress-strain formulations : a multi-scale approach. WCCM - 11th World Congress on Computational Mechanics / ECCM - 5th European Conference on Computational Mechanics / ECFD - 6th European Conference on Computational Fluid Dynamics, Jul 2014, Barcelone, Spain. p. 3415-3425. ⟨hal-01611986⟩

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