Yield function development for aluminum alloy sheets

Barlat, Frédéric; Maeda, Yasushi; Chung, Kwansoo; Yanagawa, Masahiro; Brem, J. C.; Hayashida, Yuki; Lege, D. J.; Matsui, Kuniaki; Murtha, Suzanne; Hattori, Satoshi; Becker, Richard; Makosey, S.J.

doi:10.1016/s0022-5096(97)00034-3

Cited by 483 publications

(204 citation statements)

References 45 publications

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“…Thus, considerable advances have been achieved during the last twenty years in the prediction of the sheet metal forming limits by employing yield criteria proposed to provide an improved description of plastic flow under conditions of biaxial loading. For instance, predictions in good agreement with experimental results have been obtained in the case of aluminum alloys [9][10] with the yield criteria proposed by Barlat et al 11 , Karafillis and Boyce 12 and Barlat et al 13 . The effects of the through-thickness normal and shear stress components have also been taken into account within the framework of the M-K model, see the recent works [14][15][16][17][18] .…”

Section: Introductionsupporting

confidence: 78%

Experimental analysis and theoretical predictions of the limit strains of a hot-dip galvanized interstitial-free steel sheet

2013

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In this work, the formability of a hot-dip galvanized interstitial-free (IF) steel sheet was evaluated by means of uniaxial tensile and Forming Limit Curve (FLC) tests. The FLC was defined using the flat-bottomed Marciniak's punch technique, where the strain analysis was made using a digital image correlation software. A plastic localization model was also proposed wherein the governing equations are solved with the help of the Newton's method. The investigated hot-dip galvanized IF steel sheet presented a very good formability level in the deep-drawing range consistent with the measured Lankford values. The predicted limit strains were found to be in good agreement with the experimental data of the hot-dip galvanized IF steel sheet owing to the definition of the localization model geometrical imperfection as a function of the experimental surface roughness evolution and, in particular, to the yield surface flattening near to the plane-strain stress state authorized by the adopted yield criterion.

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Section: Introductionsupporting

confidence: 78%

Experimental analysis and theoretical predictions of the limit strains of a hot-dip galvanized interstitial-free steel sheet

2013

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“…The YLD91 yield criterion was proposed by Barlat et al [22,25] and was written from previous isotropic criterion defined by Hershey and Hosford [26,27]. It can be written as follows:…”

Section: Constitutive Equationsmentioning

confidence: 99%

Material parameters identification: Gradient-based, genetic and hybrid optimization algorithms

Chaparro¹,

Thuillier²,

Menezes³

et al. 2008

Computational Materials Science

191

102

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a b s t r a c tThis paper presents two procedures for the identification of material parameters, a genetic algorithm and a gradient-based algorithm. These algorithms enable both the yield criterion and the work hardening parameters to be identified. A hybrid algorithm is also used, which is a combination of the former two, in such a way that the result of the genetic algorithm is considered as the initial values for the gradient-based algorithm. The objective of this approach is to improve the performance of the gradient-based algorithm, which is strongly dependent on the initial set of results. The constitutive model used to compare the three different optimization schemes uses the Barlat'91 yield criterion, an isotropic Voce type law and a kinematic Lemaitre and Chaboche law, which is suitable for the case of aluminium alloys. In order to analyse the effectiveness of this optimization procedure, numerical and experimental results for an EN AW-5754 aluminium alloy are compared.

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“…It is enough to mention only some of the most important: Mises [19], Burzyński [7], Hill [9][10][11][12][13], Logan and Hosford [18], Hoffman [14], Tsai-Wu [29], Karafillis-Boyce [15], Rychlewski [22], Barlat et al [1][2][3][4][5]8]. A great number and variety of different criteria make it questionable whether further propositions are really needed, especially when none of the previous ones has been definitely confirmed or rejected for a considerably broad scope of use.…”

Section: Motivationmentioning

confidence: 99%

Energy-Based Yield Criteria for Orthotropic Materials, Exhibiting Strength-Differential Effect. Specification for Sheets under Plane Stress State

Szeptyński

2017

Archives of Metallurgy and Materials

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A general proposition of an energy-based limit condition for anisotropic materials exhibiting strength-differential effect (SDE) based on spectral decomposition of elasticity tensors and the use of scaling pressure-dependent functions is specified for the case of orthotropic materials. A detailed algorithm (based on classical solutions of cubic equations) for the determination of elastic eigenstates and eigenvalues of the orthotropic stiffness tensor is presented. A yield condition is formulated for both two-dimensional and three-dimensional cases. Explicit formulas based on simple strength tests are derived for parameters of criterion in the plane case. The application of both criteria for the description of yielding and plastic deformation of metal sheets is discussed in detail. The plane case criterion is verified with experimental results from the literature.

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Yield function development for aluminum alloy sheets

Cited by 483 publications

References 45 publications

Experimental analysis and theoretical predictions of the limit strains of a hot-dip galvanized interstitial-free steel sheet

Experimental analysis and theoretical predictions of the limit strains of a hot-dip galvanized interstitial-free steel sheet

Material parameters identification: Gradient-based, genetic and hybrid optimization algorithms

Energy-Based Yield Criteria for Orthotropic Materials, Exhibiting Strength-Differential Effect. Specification for Sheets under Plane Stress State

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