Applications of Multi-Scale Models to Numerical Simulation and Experimental Analysis of Anisotropic Elastoplastic Behavior of Metallic Sheets

Abstract

In this paper anisotropic mechanical behavior of AA2024 aluminum and Ti6Al4V titanium alloys were studied using three different approaches: unified, multi-mechanism and polycrystalline. The theoretical formulations of studied elastoplastic models are first described. Thereafter, some numerical results concerning the simulation of a uniaxial tension test applied to thin metallic sheets are presented. Comparison between experimental results (taken from the literature) and numerical simulations shows that the multi-mechanism and polycrystalline models describe slightly better the anisotropy when considering all the directions. Finally, numerical simulations of a deep drawing test of AA2024 aluminum thin sheets will be analyzed.

Experimental characterization and numerical modeling of the three-dimensional anisotropic behavior of a thick sheet aluminum alloy AA2024-T351 using multi-scale approaches

“…Multi-mechanisms models (MM-2M1C) [8][9][10]. It can be observed the homogeneous strain state of the useful specimen part, validating then the experimental estimations of the stress and plastic strain.…”

“…There are many possibilities for extending the isotropic criteria to the description of anisotropic materials [3][4][5]. The method generally used to take into account a 3D anisotropy is to involve a tensor of fourth order into the criterion expression [5][6][7][8][9]. An anisotropic yield loci can be written as a quadratic extension of the von Mises formulation as can be seen in Table 2 which summarizes the general constitutive equations of a macroscopic unified model and of anisotropic Hill 1948 criteria.…”

“…This work presents an introduction of the study of the three-dimensional anisotropy of an aluminium alloy. So the paper starts with two specific cases of a 3D plastic anisotropy: plane and normal, analyzing three different elasto-plastic numerical approaches: a unified model, a multi-mechanism model and a polycrystalline one [3][4][5][6][7][8][9][10]. To demonstrate their feasibility and to identify the most accurate model describing the plastic anisotropy, a lot of comparisons are realized with the experimental data obtained from tensile tests performed for specimens with a thickness of 3 mm along different directions to the rolling direction.…”

Some aspects regarding the influence of the anisotropy of an AA2021-T351 rolled thick plate on its tribological behaviour

“…The main mechanical properties of this aluminium alloy are defined by an ultimate tensile strength higher than 420 MPa, a HB hardness around 120 Kgf/mm 2 and a yield strength at 0.2% greater than 260 MPa. Experimental and numerical identification of anisotropic elasto-plastic parameters are shown in Tables 1 and 2, starting from previous experimental, theoretical and numerical works [9][10][11] concerning the analysis of bulk plastic anisotropic behaviour realized by GCGM Laboratory of National Institute of Applied Sciences of Rennes.…”

“…Experimental tensile tests have been performed using different loading orientations Table 1. Elasto-plastic parameters of the anisotropic aluminium alloy AA2024-T351 [9][10][11].…”