Linear transfomation-based anisotropic yield functions

Barlat, Frédéric; Aretz, Holger; Yoon, Jeong Whan; Karabin, M.E.; Brem, J. C.; Dick, Robert E.

doi:10.1016/j.ijplas.2004.06.004

Cited by 899 publications

(495 citation statements)

References 28 publications

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“…The simulations of anisotropic materials using this type of yield functions, fitted to experimental data, usually produce rather accurate solutions [27]. In [28] a type of yield functions based on linear transformations of the stress deviator was proposed and described more generally in [29]. A large number of free parameters make these yield functions very flexible and able to reproduce complex anisotropic behaviour, but also hard to calibrate properly.…”

Section: Introductionmentioning

confidence: 99%

Simulation of large-strain behaviour of aluminium alloy under tensile loading using anisotropic plasticity models

Khadyko¹,

Dumoulin²,

Hopperstad³

2015

Computers & Structures

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Cylindrical smooth and notched AA6060 samples were tested in tension. The material was either cast and homogenized or extruded with strong cube texture. The textured specimens demonstrated unusual shapes of the fracture surface that deviated from elliptical and were more rectangular in shape. A phenomenological plasticity model was used in finite element simulations of the tensile tests, together with a crystal plasticity model. The phenomenological plasticity model could not reproduce the evolution of the cross-section of the specimens made from the textured material. The crystal plasticity finite element model on the other hand demonstrated behaviour closer to the experiments.

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Section: Introductionmentioning

confidence: 99%

Simulation of large-strain behaviour of aluminium alloy under tensile loading using anisotropic plasticity models

Khadyko¹,

Dumoulin²,

Hopperstad³

2015

Computers & Structures

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“…As an example, the sensitivity of the yield criterion is determined for the aluminium alloys 2090-T3 and 6111-T4, fitted with the Yld2004-18p model and parameters obtained from [1]. From Fig.…”

Section: Sensitivity Analysismentioning

confidence: 99%

“…The Yld2004-18p yield criterion as proposed in [1] is used by a growing number of researchers e.g. [2][3][4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Parameter reduction for the Yld2004-18p yield criterion

et al. 2015

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The Yld2004-18p yield criterion uses 18 parameters to define anisotropy for a full 3D stress state. It is demonstrated in this paper that dependencies between the parameters exist and for a given set of experimental data the parameters are not uniquely defined. Analysis of the yield function shows that two specific combinations of parameters do not contribute to the value of the yield function. Therefore, the number of parameters can be reduced to 16, without any loss of flexibility. Similarly, the number of parameters for the plane stress version of this yield criterion reduces from 14 to 12.

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“…The yielding behaviour is found to strongly depend on the loading direction with respect to the principal directions of anisotropy of the material. In addition to anisotropic yielding (Hill, 1948;Barlat et al, 2005;Rousselier et al, 2012), some alloys also show anisotropic failure (Chen et al, 2009). A numerical representation of the microstructure coupled with damage models enabled Steglich et al (2008) to represent the anisotropic ductile fracture of an aluminium alloy, while Yerra et al (2010) numerically described the fracture inside a grain using a crystal plasticity material model around a spherical void.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic failure modes of high-strength aluminium alloy under various stress states

Fourmeau

Børvik

Benallal

et al. 2013

International Journal of Plasticity

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The influence of stress state and plastic anisotropy on the fracture behaviour of a rolled AA7075-T651 aluminium plate under quasi-static loading conditions is studied both experimentally and numerically. Material tests in different directions of the plate were carried out using specimens with various shapes to provide a wide range of stress states. The strain to failure and the failure modes were found to vary strongly with the stress state, but also with the loading direction due to the complex microstructure of the alloy. Finite element simulations adopting an anisotropic plasticity model were used to obtain local values of stresses and strains and to define the strains at fracture for the various stress states. The numerical simulations show that due to the heterogeneous stress and strain fields in the specimens, it is very difficult to accurately locate the point where fracture initiates and thus to determine the local fracture strain as a function of stress state and loading direction.

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Linear transfomation-based anisotropic yield functions

Cited by 899 publications

References 28 publications

Simulation of large-strain behaviour of aluminium alloy under tensile loading using anisotropic plasticity models

Simulation of large-strain behaviour of aluminium alloy under tensile loading using anisotropic plasticity models

Parameter reduction for the Yld2004-18p yield criterion

Anisotropic failure modes of high-strength aluminium alloy under various stress states

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