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Journal articles on the topic 'Anisotropic yield criteria'

Author: Grafiati

Published: 5 June 2025

Last updated: 2 August 2025

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1

Cazacu, Oana. "Anisotropic Yield Criteria." Journal of Physics: Conference Series 1063 (July 2018): 012052. http://dx.doi.org/10.1088/1742-6596/1063/1/012052.

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2

Hosford, W. F. "Comments on anisotropic yield criteria." International Journal of Mechanical Sciences 27, no. 7-8 (1985): 423–27. http://dx.doi.org/10.1016/0020-7403(85)90032-3.

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3

Chien, W. Y., J. Pan, and S. C. Tang. "Modified Anisotropic Gurson Yield Criterion for Porous Ductile Sheet Metals." Journal of Engineering Materials and Technology 123, no. 4 (2000): 409–16. http://dx.doi.org/10.1115/1.1395023.

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The influence of plastic anisotropy on the plastic behavior of porous ductile materials is investigated by a three-dimensional finite element analysis. A unit cell of cube containing a spherical void is modeled. The Hill quadratic anisotropic yield criterion is used to describe the matrix normal anisotropy and planar isotropy. The matrix material is first assumed to be elastic perfectly plastic. Macroscopically uniform displacements are applied to the faces of the cube. The finite element computational results are compared with those based on the closed-form anisotropic Gurson yield criterion

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4

Yasmeen, Farzana, Michael A. Sutton, Xiaomin Deng, Megan Ryan, and Anthony P. Reynolds. "Parameter Estimation and Application of Anisotropic Yield Criteria for Cylindrical Aluminum Extrusions: Theoretical Developments and StereoDIC Measurements." Applied Sciences 11, no. 20 (2021): 9701. http://dx.doi.org/10.3390/app11209701.

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Theoretical and experimental studies are presented to characterize the anisotropic plastic response under torsion loading of two nominally identical aluminum Al6061-T6 extruded round bars. Theoretical models are developed using isotropic (Von Mises 1913) and anisotropic (Barlat 1991) yield criteria, along with isotropic strain hardening formulae, to model post-yield behavior under simple torsion loading. For the case of simple shear loading, incremental plasticity theory is used to determine the theoretical elastic, plastic, and total shear strains. A set of experiments are performed to calibr

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5

Panich, Sansot, Vitoon Uthaisangsuk, Surasak Suranuntchai, and Suwat Jirathearanat. "Modeling of Anisotropic Plastic Behavior of Advanced High Strength Steel Sheet TRIP 780." Advanced Materials Research 410 (November 2011): 232–35. http://dx.doi.org/10.4028/www.scientific.net/amr.410.232.

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Anisotropic plastic behavior of advanced high strength steel sheet of grade TRIP780 (Transformation Induced Plasticity) was investigated using three different yield functions, namely, the von Mises’s isotropic, Hill’s anisotropic (Hill’48), and Barlat’s anisotropic (Yld2000-2d) criterion. Uniaxial tensile and balanced biaxial test were conducted for the examined steel in order to characterize flow behavior and plastic anisotropy for different stress states. Especially, disk compression test was performed for obtaining balanced r-value. All these data were used to determine the anisotropic coef

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6

Yan, Yu, Hanzhong Xu, Haibo Wang, and Jie Bao. "AZ31 Magnesium Alloy Roll-Forming Springback Prediction Considering Anisotropic and Asymmetric Properties." Materials 18, no. 13 (2025): 3111. https://doi.org/10.3390/ma18133111.

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Plastic forming in magnesium alloy sheet products is becoming a hot topic because of its potential in light-weight structural designs. Due to the special anisotropic and tension–compression asymmetrical properties of magnesium alloys, traditional modeling methods based on the von Mises yield criterion and using only uniaxial tensile properties for bending-dominated process simulations are not able to produce accurate predictions. In this study, two kinds of tensile tests (uniaxial and biaxial) and some compressive tests were performed along three material directions to obtain anisotropic and a

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7

Trieu, Quy-Huy, The-Thanh Luyen, Duc-Toan Nguyen, and Ngoc-Tam Bui. "A Study on Yield Criteria Influence on Anisotropic Behavior and Fracture Prediction in Deep Drawing SECC Steel Cylindrical Cups." Materials 17, no. 12 (2024): 2872. http://dx.doi.org/10.3390/ma17122872.

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The deep drawing process, a pivotal technique in sheet metal forming, frequently encounters challenges such as anisotropy-induced defects. This study comprehensively investigates the influence of various yield criteria on the anisotropic behavior and fracture prediction in SECC steel cylindrical cups. It integrates Hill’48R, Hill’48S, and von Mises yield criteria in conjunction with Swift’s hardening law to evaluate material behavior under complex stress states. Experimental and numerical simulations assess the anisotropy effects across multiple orientations (0°, 45°, and 90°), revealing intri

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8

Chu, E. "Generalization of hill's 1979 anisotropic yield criteria." Journal of Materials Processing Technology 50, no. 1-4 (1995): 207–15. http://dx.doi.org/10.1016/0924-0136(94)01381-a.

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9

Wang, Chu, Delun Li, Bao Meng, and Min Wan. "Effect of Anisotropic Yield Functions on Prediction of Critical Process Window and Deformation Behavior for Hydrodynamic Deep Drawing of Aluminum Alloys." Metals 10, no. 4 (2020): 492. http://dx.doi.org/10.3390/met10040492.

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Owing to the reduction of rupture instability and the avoidance of wrinkle defect, the hydrodynamic deep drawing (HDD) process is gradually becoming attractive for fabricating lightweight and complicated products. Meanwhile, since metallic materials present anisotropic deformation behavior, it is necessary to select an appropriate constitutive model for the prediction of plastic deformation behavior of applied material with high precision. In the present research, several anisotropic yield criteria, namely, Hill’48, Yld2000-2d, and BBC2005, were implemented to investigate the effects of yield

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10

Khan, R. "Anisotropic Deformation Behavior of Al2024T351 Aluminum Alloy." Journal of Engineering Research [TJER] 10, no. 1 (2013): 80. http://dx.doi.org/10.24200/tjer.vol10iss1pp80-87.

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The objective of this work was to investigate the effects of material anisotropy on the yielding and hardening behavior of 2024T351 aluminum alloy using isotropic and anisotropic yield criteria. Anisotropy may be induced in a material during the manufacturing through processes like rolling or forging. This induced anisotropy gives rise to the concept of orientation-dependent material properties such as yield strength, ductility, strain hardening, fracture strength, or fatigue resistance. Inclusion of the effects of anisotropy is essential in correctly predicting the deformation behavior of a m

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11

Shahid, Sharlin, Eskil Andreasson, Viktor Petersson, Widaad Gukhool, Yuchi Kang, and Sharon Kao-Walter. "Simplified Characterization of Anisotropic Yield Criteria for an Injection-Molded Polymer Material." Polymers 15, no. 23 (2023): 4520. http://dx.doi.org/10.3390/polym15234520.

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Injection-molded polyethylene plates exhibit highly anisotropic mechanical behavior due to, e.g., the uneven orientation of the polymer chains during the molding process and the differential cooling, especially in the thickness direction. Elastoplastic finite element modeling of these plates in particular is used with isotropic yield criteria like von Mises, trading off accuracy in favor of simpler constitutive characterization and faster solution. This article studies three different anisotropic yield criteria, namely, Hill 1948, Barlat Yld91, and Barlat Yld2004-18P, for the finite element mo

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12

Panich, Sansot. "Constitutive Modeling of Advanced High Strength Steels Characterized by Uniaxial and Biaxial Experiments." Advanced Materials Research 849 (November 2013): 207–11. http://dx.doi.org/10.4028/www.scientific.net/amr.849.207.

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Anisotropic plastic behavior of advanced high strength steel sheets of grade DP780 and DP980 were investigated using three different yield functions, namely, the von Mises, Hills 48 and Barlat2000 (Yld2000-2d) criteria. Uniaxial tensile and balanced biaxial (hydraulic bulge) tests were conducted for the examined steels in order to characterize flow behavior and plastic anisotropy for different stress states. Additionally, disk compression and In-plane biaxial tension tests were performed for obtaining balanced r-value of DP780 and DP980, respectively. All these data were used to determine the

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13

Chahaoui, Oualid, Houssem Soltani, and Nadjoua Matougui. "Application of Associated and Non-Associated Flow Metal Plasticity for F.S.S Sheet." Defect and Diffusion Forum 406 (January 2021): 473–80. http://dx.doi.org/10.4028/www.scientific.net/ddf.406.473.

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In the last decade, several phenomenological yield criteria for anisotropic material has been proposed to improve the modeling predictions about sheet metal-forming processes. In regard to this engineering application, two proprieties of models have been used. If the yield function and the plastic potential are not same (not equal), the normality rule is non associative flow rule (NAFR), otherwise, when the stresses yield has been completely coupled to the anisotropic strain rate ratio (plastic potential), is called the associated flow rule (AFR). The non-associated flow rule is largely adopte

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14

Chahaoui, Oualid, Houssem Soltani, and Nadjoua Matougui. "Application of Associated and Non-Associated Flow Metal Plasticity for F.S.S Sheet." Defect and Diffusion Forum 406 (January 2021): 473–80. http://dx.doi.org/10.4028/www.scientific.net/ddf.406.473.

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In the last decade, several phenomenological yield criteria for anisotropic material has been proposed to improve the modeling predictions about sheet metal-forming processes. In regard to this engineering application, two proprieties of models have been used. If the yield function and the plastic potential are not same (not equal), the normality rule is non associative flow rule (NAFR), otherwise, when the stresses yield has been completely coupled to the anisotropic strain rate ratio (plastic potential), is called the associated flow rule (AFR). The non-associated flow rule is largely adopte

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15

Lyamina, Elena, Nataliya Kalenova, and Dinh Kien Nguyen. "Influence of Plastic Anisotropy on the Limit Load of an Overmatched Cracked Tension Specimen." Symmetry 12, no. 7 (2020): 1079. http://dx.doi.org/10.3390/sym12071079.

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Plastic anisotropy is a common property of many metallic materials. This property affects many aspects of structural analysis and design. In contrast to the isotropic case, there is a great variety of yield criteria proposed for anisotropic materials. Moreover, even if one specific yield criterion is selected, several constitutive parameters are involved in it. Therefore, parametric analysis of structures made of anisotropic materials is quite cumbersome. The present paper demonstrates the effect of the constitutive parameters involved in Hill’s quadratic yield criterion on the upper bound lim

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16

Tellache, Mohamed, Martine Pithioux, Patrick Chabrand, and Christian Hochard. "Femoral neck fracture prediction by anisotropic yield criteria." European Journal of Computational Mechanics 18, no. 1 (2009): 33–41. http://dx.doi.org/10.3166/ejcm.18.33-41.

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17

Yang, Q., X. Chen, and W. Y. Zhou. "On the structure of anisotropic damage yield criteria." Mechanics of Materials 37, no. 10 (2005): 1049–58. http://dx.doi.org/10.1016/j.mechmat.2005.02.001.

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18

Zhu, Y., B. Dodd, R. M. Caddell, and W. F. Hosford. "Convexity restrictions on non-quadratic anisotropic yield criteria." International Journal of Mechanical Sciences 29, no. 10-11 (1987): 733–41. http://dx.doi.org/10.1016/0020-7403(87)90059-2.

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19

Kacar, Ilyas, Fahrettin Ozturk, Serkan Toros, and Suleyman Kilic. "Prediction of Strain Limits via the Marciniak-Kuczynski Model and a Novel Semi-Empirical Forming Limit Diagram Model for Dual-Phase DP600 Advanced High Strength Steel." Strojniški vestnik – Journal of Mechanical Engineering 66, no. 10 (2020): 602–12. http://dx.doi.org/10.5545/sv-jme.2020.6755.

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The prediction capability of a forming limiting diagram (FLD) depends on how the yield strength and anisotropy coefficients evolve during the plastic deformation of sheet metals. The FLD predictions are carried out via the Marciniak-Kuczynski (M-K) criterion with anisotropic yield functions for DP600 steel of various thicknesses. Then, a novel semi-empirical FLD criterion is proposed, and prediction capabilities of the criterion are tested with different yield criteria. The results show that the yield functions are very sensitive to anisotropic evolution. Thus, while the FLD curves from the M-

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20

Chen, Lei, Hongying Zhang, and Mitao Song. "Extension of Barlat’s Yield Criterion to Tension–Compression Asymmetry: Modeling and Verification." Metals 10, no. 6 (2020): 713. http://dx.doi.org/10.3390/met10060713.

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The present study is devoted to extending Barlat’s famous yield criteria to tension–compression asymmetry by a novel method originally introduced by Khan, which can decouple the anisotropy and tension–compression asymmetry characteristics. First, Barlat (1987) isotropic yield criterion, which leads to a good approximation of yield loci calculated by the Taylor–Bishop–Hill crystal plasticity model, is extended to include yielding asymmetry. Furthermore, the famous Barlat (1989) anisotropic yield criterion, which can well describe the plastic behavior of face-centered cubic (FCC) metals, is exte

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21

Reinhardt, Wolf D. "Yield Criteria for the Elastic-Plastic Design of Tubesheets With Triangular Penetration Pattern." Journal of Pressure Vessel Technology 123, no. 1 (2000): 118–23. http://dx.doi.org/10.1115/1.1286017.

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To perform an elastic-plastic finite element analysis of a tubesheet, the anisotropic stiffness and yield properties of the perforated region are represented by an equivalent solid plate. Traditional anisotropic yield criteria (like Hill’s criterion) do not give accurate predictions under general biaxial loading because they neglect the plastic compressibility of the perforated material. A compressible-anisotropic second-order yield criterion is derived which can model both the actual out-of-plane and in-plane behavior. Using an equivalent stress vector, the in-plane symmetry properties of the

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22

Vladimirov, Ivaylo N., and Stefanie Reese. "Prediction of Springback in Unconstrained Bending by a Model for Evolving Elastic and Plastic Anisotropy." Key Engineering Materials 554-557 (June 2013): 2330–37. http://dx.doi.org/10.4028/www.scientific.net/kem.554-557.2330.

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Sheet metals exhibit anisotropic plastic behavior due to the large plastic deformations that occur during the rolling of the sheet and which induce texture and are responsible for the initial anisotropy. There exist various possibilities to introduce plastic anisotropy into the finite element modelling of sheet metal forming. The initial yield anisotropy can be incorporated either through an anisotropic yield surface or directly by means of a crystallographic texture model. Here, one basically differentiates between empirical and phenomenological anisotropic yield function equations, where the

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23

Liao, K. C., J. Pan, and S. C. Tang. "Approximate yield criteria for anisotropic porous ductile sheet metals." Mechanics of Materials 26, no. 4 (1997): 213–26. http://dx.doi.org/10.1016/s0167-6636(97)00033-1.

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24

Prasad, K. Nagendra, BR Srinivasa Murthy, A. Vatsala, and T. G. Sitharam. "Yielding of sensitive clays: micromechanical considerations." Canadian Geotechnical Journal 35, no. 1 (1998): 169–74. http://dx.doi.org/10.1139/t97-072.

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Test results reported on several natural sensitive soils show significant anisotropy of the yield curves, which are generally oriented along the coefficient of earth pressure at rest (K0) axis. An attempt is made in this paper to explain the anisotropy in yielding from microstructural considerations. An elliptic pore, with particle domains aligned along the periphery of the pore, and with the major axis of the pore being oriented along the direction of the in situ major principal stress, is chosen as the unit of microstructure. An analysis of forces at the interdomain contacts around the ellip

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25

Ozturk, Fahrettin, Serkan Toros, Suleyman Kilic, and Ilyas Kacar. "Evaluation of Anisotropy by Two Different Tests for TRIP800 Steel." Key Engineering Materials 622-623 (September 2014): 1139–44. http://dx.doi.org/10.4028/www.scientific.net/kem.622-623.1139.

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For the process modeling, material properties such as anisotropy values at different orientation are very important. The most commonly used method for the determining of the anisotropy values is the tensile test that is performed for samples are prepared at different orientation. Besides the tensile test, the anisotropy parameters of TRIP 800 steel are measured with the hole-expansion test. The effects of the test methods on the yield surfaces are determined for using two different anisotropic yield criteria are Hill-48 and Barlat-89. Results illustrated that a significant difference is observ

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26

Kabirian, Farhoud, та Akhtar S. Khan. "Anisotropic yield criteria in σ–τ stress space for materials with yield asymmetry". International Journal of Solids and Structures 67-68 (серпень 2015): 116–26. http://dx.doi.org/10.1016/j.ijsolstr.2015.04.006.

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27

Esche, S. K., and R. Shivpuri. "A Consistent Criterion for Diffuse Necking in Sheet Metals Using Hill’s 1979 Yield Surface." Journal of Engineering Materials and Technology 120, no. 2 (1998): 177–82. http://dx.doi.org/10.1115/1.2807008.

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A review of some existing criteria for diffuse necking in sheet metals is given and their limitations are discussed. The introduction into production of new sheet materials whose plastic deformation is impossible to be modeled using Hill’s 1948 anisotropic yield function necessitates improvements of these existing criteria to accurately describe their necking behavior. In this paper, a generalization of the existing diffuse necking criteria for materials describable by Case IV of Hill’s 1979 anisotropic yield function is presented. The proposed criterion is consistent with the previous criteri

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28

Kuwabara, Toshihiko, Dan Sorin Comsa, Dorel Banabic, and E. Iizuka. "Modeling Anisotropic Behaviour for Steel Sheets Using Different Yield Criteria." Key Engineering Materials 233-236 (January 2003): 841–46. http://dx.doi.org/10.4028/www.scientific.net/kem.233-236.841.

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29

Monchiet, Vincent, Oana Cazacu, Eric Charkaluk, and Djimedo Kondo. "Macroscopic yield criteria for plastic anisotropic materials containing spheroidal voids." International Journal of Plasticity 24, no. 7 (2008): 1158–89. http://dx.doi.org/10.1016/j.ijplas.2007.08.008.

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30

Han, Han. "Influence of Material Anisotropy and Friction on Ring Deformation." Journal of Tribology 124, no. 3 (2002): 637–44. http://dx.doi.org/10.1115/1.1473144.

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The influence of material anisotropy and friction on ring deformation has been examined in relation to the distribution of normal pressure and frictional shear stress, deformed ring shapes, and estimated errors in the coefficient of friction. Based on the flow rule associated with von Mises’ and Hill’s yield criteria, the analyses have been carried out with the finite element method (FEM) for three cases, namely, (1) an anisotropic ring oriented 90 deg to the axis of rotational symmetrical anisotropy under uniform coefficient of friction; (2) an isotropic ring under frictional anisotropy condi

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31

Alexandrov, Sergei, and Marina Rynkovskaya. "Review of Selected Issues in Anisotropic Plasticity under Axial Symmetry." Symmetry 14, no. 10 (2022): 2172. http://dx.doi.org/10.3390/sym14102172.

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The present review paper consists of two main parts, which are not connected. The first part is devoted to a general axisymmetric elastic–plastic plane stress solution, assuming polar anisotropy. Strains are infinitesimal. The principal stress trajectories coincide with the principal axes of anisotropy. No restrictions are imposed on the yield criterion other than the conventional restrictions imposed on the yield criteria in plasticity. The plastic portion of the strain rate tensor is determined from the associated flow rule. A simple example illustrates the general solution. The second part

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32

Panich, Sansot, Vitoon Uthaisangsuk, Surasak Suranuntchai, and Suwat Jirathearanat. "Anisotropic Plastic Behavior of TRIP 780 Steel Sheet in Hole Expansion Test." Key Engineering Materials 504-506 (February 2012): 89–94. http://dx.doi.org/10.4028/www.scientific.net/kem.504-506.89.

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Plastic behavior of advanced high strength steel sheet of grade TRIP780 (Transformation Induced Plasticity) was investigated using three different yield functions, namely, the von Mises’s isotropic, Hill’s anisotropic (Hill’48), and Barlat’s anisotropic (Yld2000-2d) criterion. Uniaxial tensile and balanced biaxial test were conducted for the examined steel in order to characterize flow behavior and plastic anisotropy in different stress states. Additionally, disk compression test was performed for obtaining the balanced r-value. According to the different yield criteria, yield stresses and r-v

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33

RATTAN, MINTO, NEERAJ CHAMOLI, SATYA BIR SINGH, and NISHI GUPTA. "CREEP BEHAVIOR OF ANISOTROPIC FUNCTIONALLY GRADED ROTATING DISCS." International Journal of Computational Materials Science and Engineering 02, no. 01 (2013): 1350005. http://dx.doi.org/10.1142/s204768411350005x.

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The creep behavior of an anisotropic rotating disc of functionally gradient material (FGM) has been investigated in the present study using Hill's yield criteria and the creep behavior in this case is assumed to follow Sherby's constitutive model. The stress and strain rate distributions are calculated for disc having different types of anisotropy and the results obtained are compared graphically. It is concluded that the anisotropy of the material has a significant effect on the creep behavior of the FGM disc. It is also observed that the FGM disc shows better creep behavior than the non-FGM

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34

Hintze, Dagmar, and Johannes Will. "MULTISURFACE PLASTICITY MODELS UNDER YIELDING CONDITIONS/MULTISURFACE-PLASTIZITÄTS-MODELLE MIT ZUSAMMENGESETZTEN FLIESSBEDINGUNGEN." JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT 5, no. 5 (1999): 329–34. http://dx.doi.org/10.3846/13921525.1999.10531484.

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An implicit integration algorithm for arbitrary multi- surface plasticity is presented. This perfectly-plastic model uses isotrop and anisotrop Mohr-Coulomb criteria with tension-cutoff and associated or non-associated flow rules. So materials with anisotropic deformation and strength behaviour like intact rock with sets of joints can be described. With an extended Drucker-Prager-criterion for the isotrop material matrix this model can be used as well for modelling other materials such as masonry or concrete. Problems resulting from arbitrary multisurface yield criteria are discussed. Consiste

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35

Sivam, S. P. Sundar Singh. "Frequently used Anisotropic Yield Criteria for Sheet Metal Applications: A Review." Indian Journal of Science and Technology 9, no. 1 (2016): 1–6. http://dx.doi.org/10.17485/ijst/2016/v9i47/92107.

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36

Pankaj, Mohammed Arif, and Surendra K. Kaushik. "Convexity studies of two anisotropic yield criteria in principal stress space." Engineering Computations 16, no. 2 (1999): 215–29. http://dx.doi.org/10.1108/02644409910257485.

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37

Liao, K. C. "Applications of anisotropic yield criteria to porous sheet metal forming simulations." Materials & Design 29, no. 5 (2008): 1000–1010. http://dx.doi.org/10.1016/j.matdes.2007.03.025.

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38

Tuğcu, P., P. D. Wu, and K. W. Neale. "Finite strain analysis of simple shear using recent anisotropic yield criteria." International Journal of Plasticity 15, no. 9 (1999): 939–62. http://dx.doi.org/10.1016/s0749-6419(99)00026-1.

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39

Kuroda, Mitsutoshi, and Viggo Tvergaard. "Forming limit diagrams for anisotropic metal sheets with different yield criteria." International Journal of Solids and Structures 37, no. 37 (2000): 5037–59. http://dx.doi.org/10.1016/s0020-7683(99)00200-0.

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40

Monchiet, Vincent, Cosmin Gruescu, Eric Charkaluk, and Djimedo Kondo. "Approximate yield criteria for anisotropic metals with prolate or oblate voids." Comptes Rendus Mécanique 334, no. 7 (2006): 431–39. http://dx.doi.org/10.1016/j.crme.2006.06.001.

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41

Grilo, Tiago Jordão, Robertt Angelo Fontes Valente, and Ricardo J. Alves de Sousa. "Assessment of Distinct Algorithmic Strategies in the Implementation of Complex Anisotropic Yield Criteria." Key Engineering Materials 504-506 (February 2012): 685–90. http://dx.doi.org/10.4028/www.scientific.net/kem.504-506.685.

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In this work, distinct algorithmic strategies for the implementation of complex anisotropic criteria in finite element codes are presented. Two different algorithm classes are presented: semi-explicit and semi-implicit procedures, trying to conjugate the best of conventional return-mapping techniques, and accounting for sub-incrementation and subdivision procedures to improve the quality of the obtained results. In the present study, two complex (non-quadratic) anisotropic yield criteria were implemented: Barlat et al. 1991 (Yld91) and Barlat et al. 2004 with 18 coefficients (Yld2004-18p). The

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42

Du, Kai, Li Dong, Hao Zhang, et al. "Modeling of Eyld2000-2d Anisotropic Yield Criterion Considering Strength Differential Effect and Analysis of Optimal Calibration Strategy." Materials 16, no. 19 (2023): 6445. http://dx.doi.org/10.3390/ma16196445.

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Sheet metals usually experience various loading paths such as uniaxial tension, uniaxial compression, biaxial tension, and simple shear during the forming process. However, the existing constitutive models cannot always accurately describe blanks’ anisotropic yield and plastic flow behavior of blanks under all typical stress states. Given this, this paper improves the Eyld2000-2d yield criterion by introducing hydrostatic pressure to the A-Eyld2000-2d yield criterion that can describe the strength differential effect of materials. Meanwhile, to control the curvature of the yield surface more e

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43

Panich, Sansot, and Vitoon Uthaisangsuk. "Effects of Anisotropic Yield Functions on Prediction of Forming Limit Diagram for AHS Steel." Key Engineering Materials 622-623 (September 2014): 257–64. http://dx.doi.org/10.4028/www.scientific.net/kem.622-623.257.

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In this study, experimental and numerical analyses of Forming Limit Diagram (FLD) for Advanced High Strength (AHS) steel grade 980 were performed. Forming limit curve was first determined by means of the Nakazima stretch-forming test. Then, analytical calculations of the FLD based on the Marciniak-Kuczynski (M-K) model were carried out. Different yield criteria, namely, Hill’48 (r-value and stress-based), Yld89 (r-value and stress-based) and Barlat2000 (Yld2000-2d) were investigated. The strain hardening law according to Swift was applied. To identify parameters of each model, uniaxial tension

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44

Reinhardt, W. D., and S. P. Mangalaramanan. "Efficient Tubesheet Design Using Repeated Elastic Limit Analysis Technique." Journal of Pressure Vessel Technology 123, no. 2 (2000): 197–202. http://dx.doi.org/10.1115/1.1359526.

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Conventional analysis of tubesheets in nuclear steam generators involves elastic analysis of a solid plate with equivalent properties. It has recently been recognized that alternate design techniques such as inelastic finite element analysis would lead to substantial cost reductions in material and manufacturing. Due to the anisotropy, arriving at yield criteria for an equivalent solid tubesheet is more complicated than for an isotropic solid. In addition, applying plastic finite element analysis in design is significantly more complex and time-consuming than elastic analysis. This paper propo

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45

Moayyedian, Farzad, and Mehran Kadkhodayan. "Non-linear influence of hydrostatic pressure on the yielding of asymmetric anisotropic sheet metals." Mathematics and Mechanics of Solids 23, no. 2 (2016): 159–80. http://dx.doi.org/10.1177/1081286516675662.

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The objective of the current research is the investigation into possible non-linear influence of hydrostatic pressure on yielding of asymmetric (exhibiting the so-called “strength-differential effect”) anisotropic sheet metals. To reach this aim, two yield functions are developed, called here “non-linear pressure sensitive criteria I and II,” (NPC-1 and NPC-2). In addition, the non-associated flow rules are employed for these new criteria. The yield functions are defined as non-linearly dependent on hydrostatic pressure, while the plastic potential functions are introduced to be pressure insen

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Ben Othmen, Khadija, Kacem Sai, Pierre-Yves Manach, and Khaled Elleuch. "Reverse deep drawing process: Material anisotropy and work-hardening effects." Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications 233, no. 4 (2017): 699–713. http://dx.doi.org/10.1177/1464420717701950.

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The present work aims to study the constitutive models’ influence on the reverse deep drawing simulation of cylindrical cups. Several constitutive laws were considered to predict the combined effects of anisotropy as well as the changes in strain path direction of the stainless steel. To this end, a number of models were used, worth mentioning among which are the isotropic with nonlinear kinematic hardening laws, along with the isotropic von Mises and anisotropic Hill’48 yield criteria. For the models’ parameters identification, uniaxial tensile and shear tests at several orientations to the r

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Zhang, Yunpeng, Dorival M. Pedroso, Andrew J. E. Stephen, and Michael C. Elford. "Automatic calibration of 3D anisotropic yield criteria using a parallel evolutionary algorithm." Journal of Physics: Conference Series 1063 (July 2018): 012190. http://dx.doi.org/10.1088/1742-6596/1063/1/012190.

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Malo, K. A., O. S. Hopperstad, and O. G. Lademo. "Calibration of anisotropic yield criteria using uniaxial tension tests and bending tests." Journal of Materials Processing Technology 80-81 (August 1998): 538–44. http://dx.doi.org/10.1016/s0924-0136(98)00202-7.

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Liao, K. C. "Applications of planar anisotropic yield criteria to porous sheet metal forming simulations." European Journal of Mechanics - A/Solids 28, no. 4 (2009): 806–10. http://dx.doi.org/10.1016/j.euromechsol.2008.12.005.

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KUROSAKI, Yasushi, Masafumi TOKIWA, and Kennichi MURAI. "Studies on Anisotropic Yield Criteria and Press Formability of Sheet Metals : Investigation into Bassani-type Criteria." Bulletin of JSME 29, no. 255 (1986): 3202–8. http://dx.doi.org/10.1299/jsme1958.29.3202.

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