Papers by Keyword: Plastic Anisotropy

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.

Abstract: Plastic anisotropy of the as-rolled 7050 aluminum alloy plate with T7451 temper was investigated by tensile tests, OM, SEM and TEM. The results show that the as-rolled 7050 aluminum alloy plate shows plastic anisotropy. The values of the as-rolled 7050 aluminum alloy plate deformed along ST, LT and RD are 7.178%, 10.69% and 12.877%, respectively. The as-rolled 7050 aluminum plate can be considered as a materials with two phases. Microstructure, especially grain shape and precipitate configuration, is the main source of plastic anisotropy of the as-rolled 7050 aluminum alloy plate with T7451 temper.

Abstract: It is difficult to predict springback, torsion in particular, with great accuracy by FE simulation. In this study, the effects of anisotropic yield functions of the blank and elastic deformation of the tools on springback are investigated in order to improve the accuracy of torsional springback prediction in high strength steel part forming. The effects of anisotropic yield functions on the torsional springback in curved hat forming were compared, using parameter sets derived from various experimental methods: uniaxial tensile tests only; hydrostatic bulge tests and uniaxial tension tests; uniaxial and biaxial tensile tests. FE analysis of press forming taking account of tool deformations was carried out and the results were compared with the ones of FE simulation with rigid tools and experimental results. It is demonstrated that FE simulated torsional springback with deformable tool model has better correlation with experimental one than with rigid tool model.

Abstract: Plastic behavior of advanced high strength steel sheet of grade TRIP780 (Transformation Induced Plasticity) was investigated using three different yield functions, namely, the von Mises’s isotropic, Hill’s anisotropic (Hill’48), and Barlat’s anisotropic (Yld2000-2d) criterion. Uniaxial tensile and balanced biaxial test were conducted for the examined steel in order to characterize flow behavior and plastic anisotropy in different stress states. Additionally, disk compression test was performed for obtaining the balanced r-value. According to the different yield criteria, yield stresses and r-values were calculated for different directions and then compared with experimental data. To verify the modeling accuracy, a hole expansion test was carried out experimentally and numerically by FE simulation. Stress-strain curve from the biaxial test was described using voce and swift hardening models. Punch load and stroke, final hole radius, and strain distribution on specimen surface along the hole circumference and the specimen diameter in rolling and transverse directions were determined and compared with the experimental results. It was found that the simulations applying Yld2000-2d yield function provided an acceptable agreement. Consequently, it is noted that the anisotropic yield potential significantly affects the accuracy of the predicted deformation behavior of sheet metal subjected to hole expanding load.

Abstract: Cup drawing of sheet material (carbon steel DC06 and aluminium alloy AA3103-O) is simulated using a Finite Element (FE) method configured as a hierarchical multi-scale model. It performs a two-way simulation of the interactions between the metal flow and the crystallographic textures of the polycrystalline material. In this, the evolution of the deformation textures is simulated by the Taylor and ALAMEL models, and this in every integration point of the FE mesh. The resulting textures have been compared with experimentally measured ones at different positions within the work-piece. An anisotropic constitutive model is used based on the Facet model identified from the current texture in every location by means of the Taylor and/or ALAMEL model. The updating procedure has been highly optimized. Simulated and experimental results (cup profiles, deformation textures) are compared. The effect of texture updating is assessed.

Abstract: Electro-deposited pure iron has a quite sharp and isotropic <111>//ND fiber texture and a needle-shaped grain elongated in ND. This pure iron shows an r-value exceeding 7, which is difficult to explain from the texture alone. In this study the deformation behavior of electro-deposited pure iron was investigated to reveal the mechanism behind the extremely high r-value. The post-deformation surface slip lines indicated that the particular <110> plane slips, which are perpendicular to ND, exclusively act in the specimen. The tensile deformation caused by this slip system does not require any decrease in thickness, hence the extraordinary high r-value is mainly attributable to this limitation of the active slip system. Presumably, the needle-shaped microstructure affected the limitation of the slip system.

Abstract: The paper discusses the application of a newly developed coupled material model of finite anisotropic multiplicative plasticity and continuum damage to the numerical prediction of the forming limit diagram at fracture (FLDF). The model incorporates Hill-type plastic anisotropy, nonlinear Armstrong-Frederick kinematic hardening and nonlinear isotropic hardening. The numerical examples investigate the simulation of forming limit diagrams at fracture by means of the so-called Nakajima stretching test. Comparisons with test data for aluminium sheets display a good agreement between the finite element results and the experimental data.

Abstract: Simple experimental tests of fatigue life are often insufficient to characterise fatigue behaviour. Fatigue crack growth in polycrystalline metals is governed by a number of interacting mechanical effects at the crack tip, such as the deformation inside a plastic zone and contact between the crack faces over part of the loading cycle. Typically, results tend to be interpreted in terms of an empirical fatigue law such as the Paris equation, which in itself fails to generalise to different load ratios or multiaxial load cases. While extensions to this equation have been used, these are mostly empirical and do little to enhance understanding of the fatigue growth mechanisms. Recently, the use of diffraction to characterise crack tip stress effects has become increasingly popular. In this paper, we consider the opportunities and the difficulties associated with making such measurements by neutron and synchrotron diffraction. In particular we examine grain size effects, plane stress/plane strain issues, optimisation of the gauge geometry, measurement of the plastic zone and crack closure effects.

Abstract: The limit load is an essential input parameter of flaw assessment procedures. The present paper deals with an effect of plastic anisotropy on its value. An upper bound solution for three-dimensional deformation of a highly under-matched welded specimen subject to tension is proposed. The base material is assumed to be rigid, and the weld material obeys Hill’s quadratic yield criterion for orthotropic materials. It is demonstrated that it is crucial to account for both plastic anisotropy and three dimensionality of deformation in limit load calculations for flaw assessment procedures.

Abstract: The effect of annealing treatments on the evolution of the strain rate sensitivity with strain of AZ61 magnesium alloy processed by severe rolling was investigated and related to previous results on normal plastic anisotropy (r-value). The various annealing treatments produce two effects on the microstructure: grain coarsening and slight weakening of the texture. In addition, these treatments produce a noticeable decrease in strain rate sensitivity and an increase of work hardening rate that is related to the decrease of the anisotropy. It is concluded that these effects are related to an enhanced contribution of basal slip as a consequence of the microstructural changes induced by the annealing treatments.