Identification of Anisotropic Yield Criterion Parameters from a Single Biaxial Tensile Test

Abstract

The present work deals with the calibration strategy of yield functions used to describe the plastic anisotropic behavior of metallic sheets. In this paper, Bron and Besson yield criterion is used to model the plastic anisotropic behavior of AA5086 sheets. This yield model is flexible enough since the anisotropy is represented by 12 parameters (4 isotropic parameters and 8 anisotropic parameters in plane stress condition) in the form of two linear fourth order transformation tensors. The parameters of this anisotropic yield model have been identified from a single dedicated cross biaxial tensile test. It is shown, from finite element simulations, that the strain distribution in the center of the cruciform specimen is significantly dependent on the yield criterion. Moreover, this cross biaxial test involves a large range of strain paths in the center of the specimen. The calibration stage is performed by means of an optimization procedure minimizing the gap between experimental and numerical values of the principal strains along a specified path in the gauge area of the cruciform specimen. It is shown that the material parameters of Bron and Besson anisotropic yield model can be determined accurately by a unique biaxial tensile test.

Calibration of Advanced Yield Criteria Using Uniaxial and Heterogeneous Tensile Test Data

“…This issue has been addressed by Martins et al [39] who studied the influence of different cruciform specimen geometries on the hardening and plastic anisotropy parameters. They found that VFM-based identification with specimen geometry proposed by Zhang et al [40,41] yields a higher error on the shear parameter N in the Hill48 model in comparison to the other two proposed geometries and also with respect to other Hill's parameters. A similar study was also conducted by Schmaltz and Willner [42], who tested even more sophisticated cruciform specimen designs.…”

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

“…Both materials were characterized in previous works in uniaxial tension [35,44], and their mechanical properties are given in The specimen is settled in the center of the machine. It is connected to the load cell via a bi-articulated link (Fig.…”

“…The main aim is to reduce the strain in the arms and to increase the strain in the central area, and in some case to promote rupture in the central area, e.g. [35] for a survey of the different proposed geometries.…”