Plane stress yield function for aluminum alloy sheets—part II: FE formulation and its implementation

Yoon, Jeong Whan; Barlat, Frédéric; Dick, Robert E.; Chung, Kwansoo; Kang, Tae Jin

doi:10.1016/s0749-6419(03)00099-8

Cited by 257 publications

(114 citation statements)

References 25 publications

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“…All the steps to compute the derivatives are detailed by Yoon et al (2004). Afterwards, in order to compute the stress versor N T , Eq.…”

Section: Implementation Of the Yld2000-2d Modelmentioning

confidence: 99%

“…The main limitation of the Hill48 model is that there is a fixed relation between the yield stress and Lankford parameter R in different directions. A popular model, which overtakes the main limitations of Hill48, is Yld2000-2D proposed by Barlat et al (2003) and Yoon et al (2004). Furthermore, Vegter and Van Den Boogaard (2006) use Bézier curves to describe the yield locus.…”

Section: Introductionmentioning

confidence: 99%

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Application of the virtual fields method to large strain anisotropic plasticity

Rossi

Pierron

Štamborská

2016

International Journal of Solids and Structures

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The identification of the plastic behaviour of sheet metals at severe deformation is extremely important for many industrial application such as metal forming, crashworthiness, automotive, aerospace, piping, etc. In this paper, the virtual fields method (VFM) was employed to identify the constitutive parameters of anisotropic plasticity models. The method was applied using the finite deformation theory in order to account for large strains. First the theoretical principles to implement the method are described in details, especially how to derive the stress field from the strain field. Afterwards a numerical validation was performed using the Hill48 model. Several aspects were studied with the numerical model: the effect of the used virtual fields, the minimum number of specimens required to identify the parameters, the stress distribution obtained from the specimen and its influence in the identification performance. A brief analysis on the influence of noise is also conducted. Finally a series of experiments was conducted on notched specimens of stainless steel, cut along different anisotropic directions. The displacement and strain fields were obtained by digital image correlation. Afterwards, the VFM was used to identify the parameters of the Hill48 model and the Yld2000-2D model. In this case, the Hill48 model was not able to correctly describe the material behaviour, while a rather good agreement was found with the Yld2000-2D model. The potential and the limitation of the proposed method are finally discussed.

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“…All the steps to compute the derivatives are detailed by Yoon et al (2004). Afterwards, in order to compute the stress versor N T , Eq.…”

Section: Implementation Of the Yld2000-2d Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Application of the virtual fields method to large strain anisotropic plasticity

Rossi

Pierron

Štamborská

2016

International Journal of Solids and Structures

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“…The experimental data for AA2090-T3 are given in (Chung et al, 1996; for details at Yoon et al, 2000). Parameter identification was performed using an inverse approach and the technique presented in the work of Yoon et al (2004). The calculated parameters for AA2090-T3 and DC06 are given in Table 3.…”

Section: Prediction Of Anisotropymentioning

confidence: 99%

Study on the definition of equivalent plastic strain under non-associated flow rule for finite element formulation

Safaei

Yoon

Waele

2014

International Journal of Plasticity

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a b s t r a c tAs opposed to associated flow rule (AFR) in which yield function and plastic potential are equal, the different definitions for them is an inherent characteristic of non-associated flow rule (non-AFR). This imposes a specific relation (but not equality) between equivalent plastic strain and plastic compliance factor. Unavoidably, this leads to a laborious effort for FE implementation of non-associated constitutive model specifically when several internal variables (such as kinematic hardening or damage parameters) are involved. This paper is mainly devoted to studying the conditions at which the non-AFR approach can be simplified so that the numerical implementation scheme is more convenient without loss of accuracy. It will be shown that by scaling the plastic potential function, the equality of equivalent plastic strain and compliance factor can be reserved. The effect of scaling of the non-AFR based on Barlat et al.'s (2003) anisotropic model (called Yld2000-2d) is comprehensively studied with FE simulation of tensile loading under uniaxial tensions along the different orientations as well as balanced biaxial stress condition. A fully implicit return-mapping scheme was introduced for stress integration of the constitutive model in a User-defined MATerial subroutine (UMAT). Cup drawing simulations of a highly textured aluminum alloy 2090-T3 were performed using simplified and original approaches. The results prove that the proposed simplified technique is a reliable alternative for the full expression.

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“…In the FE simulation a quarter section of the cup was analyzed owing to the orthotropic material symmetry. In this paper two configurations are considered: cup drawing of the aluminium alloy Al-5 wt.% Mg, as described in [27], and drawing of AA2008 aluminium alloy sheets, as given in [37].…”

Section: Cylindrical Cup Drawingmentioning

confidence: 99%

“…In a number of contributions, Barlat and coworkers have developed several non-quadratic anisotropic yield functions ( [21], [22], [23], [24], [3]) for the description of the sheet anisotropy in aluminium alloys. The finite element formulation and implementation of Barlat's yield functions together with prediction of earings is discussed in a number of works of Yoon and coworkers ( [25], [26], [27], [28], [29] [30]). Further recent papers discussing the modelling and simulation of earings in cup drawing include [31], [32], [33], [34], [35], [36] and [37].…”

Section: Introductionmentioning

confidence: 99%

Earings prediction by a finite strain multiplicative formulation for anisotropic elastoplastic materials

2010

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This paper focuses on the simulation of earings in deep drawing of cups by means of a recently developed anisotropic constitutive model. The model is derived in a thermodynamicallyconsistent framework and includes nonlinear kinematic and isotropic hardening. It represents a multiplicative formulation of anisotropic finite elastoplasticity in the finite strain regime. The description of anisotropy is characterized by the use of the so-called structure tensors as additional tensor-valued arguments in the representation of the yield function and the plastic flow rule. The evolution equations are integrated by a form of the exponential map that retains the plastic volume and uses the spectral decomposition to evaluate the exponential tensor functions in closed form. Finally, finite element simulations of cylindrical cup drawing processes are performed and the predicted earings are compared to results from experiments.

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Plane stress yield function for aluminum alloy sheets—part II: FE formulation and its implementation

Cited by 257 publications

References 25 publications

Application of the virtual fields method to large strain anisotropic plasticity

Application of the virtual fields method to large strain anisotropic plasticity

Study on the definition of equivalent plastic strain under non-associated flow rule for finite element formulation

Earings prediction by a finite strain multiplicative formulation for anisotropic elastoplastic materials

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