Orthotropic yield criteria for description of the anisotropy in tension and compression of sheet metals

Plunkett, Brian; Cazacu, Oana; Barlat, Frédéric

doi:10.1016/j.ijplas.2007.07.013

Cited by 275 publications

(155 citation statements)

References 21 publications

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“…Due to dynamic growth in the field of material fabrication and design, including metallic ones that exhibit all three properties, the parallel approach based on the transformed stress applied to isotropic limit criteria is developed, see Barlat et al [6,7,44], Khan et al [30], and others. Also, other mixed-type criteria, which combine some elements from the theory of common invariants and the approach based on transformed stress, are developed in parallel, see Yoon et al [60].…”

Section: Discussionmentioning

confidence: 99%

“…Such significant coupling can lead to a total distortion of the limit surface (possible lack of any axis of symmetry), as it is presented in Fig. 3, based on Luo et al [35] experimental findings for AZ31B Mg alloy, and fitted by Plunkett et al [44]. Another interesting "hybrid" concept is applied by Yoon et al [60].…”

Section: Remarks On Isotropic Yield/failure Criteria Accounting For Tmentioning

confidence: 99%

“…In the other case of an implicit formulation, general conditions for convexity are very difficult and cumbersome to reach, Cazacu et al [6,7]. This is due to a substitution of isotropic stress invariants by the linearly transformed stress, Plunkett et al [44], Yoon et al [60].…”

Section: Remarks On Isotropic Yield/failure Criteria Accounting For Tmentioning

confidence: 99%

“…3 Comparison of the different approaches to modelling limit curves for AZ31B Mg alloy: a hydrostatic pressure-insensitive criterion by Plunkett et al [44], fitting of Luo et al [35] experimental data, and b hydrostatic pressure-sensitive criterion by Yoon et al [60], (unit MPa) effect it is necessary to apply at least the third common invariant. In what follows, the explicit approach will consistently be applied.…”

Section: Remarks On Isotropic Yield/failure Criteria Accounting For Tmentioning

confidence: 99%

“…Equation (43) is expressed in terms of six material anisotropy modules: Π 12 , Π 13 , Π 44 , Π 66 , π 11 and π 33 , which will be determined in terms of six independent material coefficients, referring to appropriate tensile and compressive strengths k tx , k cx , k tz , k cz and shear strengths k zx , k xy . In order to calibrate them, the following tests have to be performed:…”

Section: Transversely Isotropic Tsai-wu-type Format: Tetragonal Versumentioning

confidence: 99%

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Constraints on the applicability range of pressure-sensitive yield/failure criteria: strong orthotropy or transverse isotropy

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2016

Acta Mech

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Yield/failure initiation criteria discussed in this paper account for the three following effects: the hydrostatic pressure dependence, the tension/compression asymmetry, and isotropic or anisotropic material response. For isotropic materials, criteria accounting for pressure/compression asymmetry (strength differential effect) have to include all three stress invariants (Iyer and Lissenden in Int J Plast 19:2055-2081 Gao et al. in Int J Plast 27:217-231, 2011; Yoon et al. in Int J Plast 56:184-202, 2014; Coulomb-Mohr's, cf. Chen and Han in Plasticity for structural engineers. Springer, Berlin, 1995 criteria). In narrower case when only pressure sensitivity is accounted for, rotationally symmetric surfaces independent of the third invariant are considered and broadly discussed (Burzyński in study on strength hypotheses (in Polish). Akad Nauk Tech Lwów, 1928; Drucker and Prager in Q Appl Math 10:157-165, 1952 criteria). For anisotropic materials, the explicit formulation based on either all three common invariants (Goldenblat and Kopnov in Stroit Mekh 307-319, 1966; Kowalsky et al. in Comput Mater Sci 16:81-88, 1999) or first and second common invariants (extended von Mises-type Tsai-Wu's criterion in Int J NumerMethods Eng 38: [2083][2084][2085][2086][2087][2088] 1971) is addressed especially for the case of transverse isotropy, when difference between tetragonal versus hexagonal symmetry is highlighted. The classical Tsai and Wu criterion involves Hill's type fourth-rank tensor inheriting a possibility of convexity loss in case of strong orthotropy, as discussed by Ganczarski and Skrzypek (Acta Mech 225:2563-2582. In order to overcome this defect, in the present paper the new Mises-based Tsai-Wu's criterion is proposed and exemplary implemented for the columnar ice. A mixed way to formulate pressure-sensitive tension/compression asymmetric failure criteria-capable of describing fully distorted limit surfaces, which are based on both all stress invariants and the second common invariant (Khan and Liu in Int J Plast 38:14-26, 2012; Yoon et al. in Int J Plast 56:184-202, 2014), is revised and addressed to orthotropic materials for which the fourth-order linear transformation tensors are used to achieve extension of the isotropic criterion.

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Section: Discussionmentioning

confidence: 99%

Section: Remarks On Isotropic Yield/failure Criteria Accounting For Tmentioning

confidence: 99%

Section: Remarks On Isotropic Yield/failure Criteria Accounting For Tmentioning

confidence: 99%

Section: Remarks On Isotropic Yield/failure Criteria Accounting For Tmentioning

confidence: 99%

Section: Transversely Isotropic Tsai-wu-type Format: Tetragonal Versumentioning

confidence: 99%

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Constraints on the applicability range of pressure-sensitive yield/failure criteria: strong orthotropy or transverse isotropy

Skrzypek

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2016

Acta Mech

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Modeling Plastic Anistropy and Strength Differential Effects in Metallic Materials

Cazacu¹,

Barlat²

2008

Multiscale Modeling of Heterogenous Materials

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Viscoplastic Modeling of Anisotropic Textured Metals

Plunkett¹,

Cazacu²

2008

Multiscale Modeling of Heterogenous Materials

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Orthotropic yield criteria for description of the anisotropy in tension and compression of sheet metals

Cited by 275 publications

References 21 publications

Constraints on the applicability range of pressure-sensitive yield/failure criteria: strong orthotropy or transverse isotropy

Constraints on the applicability range of pressure-sensitive yield/failure criteria: strong orthotropy or transverse isotropy

Modeling Plastic Anistropy and Strength Differential Effects in Metallic Materials

Viscoplastic Modeling of Anisotropic Textured Metals

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