Calibration of Material Parameters of Anisotropic Yield Criterion with Conventional Tests and Biaxial Test

Abstract

Bron and Besson yield criterion has been used to investigate the plastic anisotropic behavior of an aluminum alloy AA5086. 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 biaxial test. In this paper, the parameter identification with conventional experiments has been carried out with uniaxial tensile tests and simple shear tests in different orientations to the rolling direction and with a hydraulic bulge test. For comparison’s sake, Hill’s 48 yield function has also been calibrated analytically from uniaxial tensile tests. Numerical simulation for the cross biaxial test has been carried out with the anisotropic parameters identified from the conventional tests. From this simulation, the principle strains along a specified path in the gauge area of the cruciform specimen have been evaluated. A good agreement is observed between experimental and numerical values of principal strains for a large range of strain paths.

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

“…Fig. 11 gives a comparison between two yield contours calculated with parameters of Bron and Besson model obtained either from the biaxial test or from conventional tests [14]. There is only a small difference between these two contours, mainly near the plane strain state.…”

Performance Evaluation of Yield Function and Comparison of Yielding Characteristics of SS 304 in Annealed and Unannealed Conditions

“…The material is supposed to have anisotropy with three orthogonal symmetry planes. The yield criterion is expressed by a quadratic function given by equation 2 and equation 3 [3][6] [12]:…”

“…In addition, the analyses used to get yield loci might be costly and time taking; in such case, these yield capacities turn out to be exceptionally powerful. The yield criteria likewise help in deciding the planar distribution of yield stresses and anisotropic coefficients [1][3] [12], which gives a decent gauge of these mechanical parameters without having to through the pain of exploratory assurance. Such a relationship is typically characterized as a verifiable capacity (known as the yield work [3]: F (σ1, σ2, σ3, Y) = 0, Where σ1, σ2, σ3 are the primary entities, and Y is the yield stress acquired from a basic test (strain, pressure or shearing).…”

“…He proposed in 1948 a quadratic formulation. He improved his models in 1990 [3] and 1993 [7][8][9][10][11][12][13][14][15]. Yield functions characterize the beginning of the yielding or the begin of plastic deformation.…”