Calibration of anisotropic yield criterion with conventional tests or biaxial test

Abstract

International audienceBron and Besson yield criterion has been used to model the plastic anisotropic behavior of an aluminum alloy series 5000. The parameters of this anisotropic yield model have been identified by two different methods: a classical one, considering several homogeneous conventional experiments and an exploratory one, with only one biaxial test. On one hand, the parameter identification with conventional experiments has been carried out with uniaxial tensile and simple shear tests in different orientations to the rolling direction and with a hydraulic bulge test, all of them considered at three equivalent plastic strain levels. On the other hand, Bron and Besson yield function has also been calibrated with inverse analysis from only a cross biaxial tensile test, since it was shown that the strain distribution in the center of the cruciform specimen is significantly dependent on the yield criterion. The principal strains along a specified path in the gauge area of the cruciform specimen have been analyzed and the gap between experimental and numerical values was minimized. Finally the yield contours obtained with the two methods have been compared and discussed

Potential of the Cross Biaxial Test for Anisotropy Characterization Based on Heterogeneous Strain Field

“…It can be seen that due to the material anisotropy, the force along rolling direction is about 5% higher than the one along transverse direction for AA5086, while for DP980, the force along the transverse direction is higher, by about 4.5%, than the force along the rolling direction, before the necking. These results are consistent with the stress-strain data obtained in uniaxial tension in rolling and transverse directions for these materials [33,44].…”

“…The anisotropic behavior of the material was modeled by Bron and Besson yield function implemented through a user subroutine [13,33].…”

“…Specific devices were also designed using servo-hydraulic actuators [30,31]. Signals recorded during the test are the loads in the two orthogonal directions and the strains, either with an extensometer [32] or digital image correlation [33]. The mechanical design of the cruciform specimen is the main difficulty and clearly the main limitation for an extensive use of cruciform biaxial tension.…”

Application of the virtual fields method to the identification of the homogeneous anisotropic hardening parameters for advanced high strength steels

“…It basically determines the material parameters by minimizing the discrepancy between FE simulation results and the experimental measurements. This has been applied over the years to a wide range of constitutive models, among which elasticity and elasto-plasticity (Broggiato et al, 2008;Güner et al, 2012;Lecompte et al, 2007;Wang et al, 2011;Zang et al, 2014;Zhang et al, 2014). Nevertheless, FEMU is computationally demanding since a FE model has to be updated iteratively, even for the simplest case of elasticity.…”

Identification of nonlinear kinematic hardening constitutive model parameters using the virtual fields method for advanced high strength steels

“…In this case, an inverse solution tool becomes highly desirable. There have been various inverse solution tools suitable for parameter identification as reviewed by Avril et al (2008), for instance, finite element model updating (FEMU) (Farhat and Hemez, 1993;Güner et al, 2012;Roux and Bouchard, 2015;Zhang et al, 2014) and the virtual fields method (VFM) (Chalal et al, 2006;Grédiac and Pierron, 2006;Notta-Cuvier et al, 2013;Pierron and Grediac, 2012;Pierron et al, 2010b). These methods take advantage of the full-field deformation measurement techniques such as digital image correlation (DIC) (Sutton et al, 2009), the grid method (Grédiac et al, 2016), moiré and speckle interferometry (Creath, 1985;Post and Baracat, 1981), from which more comprehensive information of material behavior can be extracted from a greater number of measurement points on the specimen surface.…”