Prediction of six or eight ears in a drawn cup based on a new anisotropic yield function

Yoon, Jeong Whan; Barlat, Frédéric; Dick, Robert E.; Karabin, M.E.

doi:10.1016/j.ijplas.2005.03.013

Cited by 284 publications

(153 citation statements)

References 37 publications

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“…The blank was meshed using approximately 700 first order reduced integration quadrilateral shell elements with 11 Gauss integration points through the thickness. Earing profiles of AA 2090-T3 predicted from Barlat et al's (2005) (Yld2004-18p) and an analytical approach can be found in the works of Yoon et al (2006Yoon et al ( , 2011, respectively. Earing simulation to predict more than four ears using Yld20000-2d under non-associated flow can be found at Yoon et al (2007), Park and Chung (2012) and Safaei et al (2013b).…”

Section: Impact Of Model Simplification On Cup Drawing Simulationmentioning

confidence: 97%

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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Section: Impact Of Model Simplification On Cup Drawing Simulationmentioning

confidence: 97%

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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“…To provide more accurate predictions, yield locus expressions with more coefficients have been introduced, which necessitate more material tests for calibration. For example, the Yld2004-18p [7] yield function includes 18 parameters; the criterion BBC2008 [8] needs 16 or 24 parameters; and the CPB06 [9] yield locus may contain 28 anisotropy coefficients.…”

Section: Introductionmentioning

confidence: 99%

Advanced Plasticity Modeling for Ultra-Low-Cycle-Fatigue Simulation of Steel Pipe

Rong-ting

Eyckens

Daxin

et al. 2017

Metals

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Abstract:Pipelines and piping components may be exposed to extreme loading conditions, for instance earthquakes and hurricanes. In such conditions, they undergo severe plastic strains, which may locally reach the fracture limits due to either monotonic loading or ultra-low cycle fatigue (ULCF). Aiming to investigate the failure process and strain evolution of pipes enduring ULCF, a lab-scale ULCF test on an X65 steel pipeline component is simulated with finite element models, and experimental data are used to validate various material modeling assumptions. The paper focuses on plastic material modeling and compares different models for plastic anisotropy in combination with various hardening models, including isotropic, linear kinematic and combined hardening models. Both isotropic and anisotropic assumptions for plastic yielding are considered. As pipes pose difficulty for the measurement of plastic properties in mechanical testing, we calibrate an anisotropic yield locus using advanced multi-scale simulation based on texture measurements. Moreover, the importance of the anisotropy gradient across thickness is studied in detail for this thick-walled pipeline steel. It is found that the usage of a combined hardening model is essential to accurately predict the number of the cycles until failure, as well as the strain evolution during the fatigue test. The advanced hardening modeling featuring kinematic hardening has a substantially higher impact on result accuracy compared to the yield locus assumption for the studied ULCF test. Cyclic tension-compression testing is conducted to calibrate the kinematic hardening models. Additionally, plastic anisotropy and its gradient across the thickness play a notable, yet secondary role. Based on this research, it is advised to focus on improvements in strain hardening characteristics in future developments of pipeline steel with enhanced earthquake resistance.

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“…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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Prediction of six or eight ears in a drawn cup based on a new anisotropic yield function

Cited by 284 publications

References 37 publications

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

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

Advanced Plasticity Modeling for Ultra-Low-Cycle-Fatigue Simulation of Steel Pipe

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

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