A practical two-surface plasticity model and its application to spring-back prediction

Lee, Myoung‐Gyu; Kim, Dae-Yong; Kim, Chongmin; Wenner, Michael L.; Wagoner, R. H.; Chung, Kwansoo

doi:10.1016/j.ijplas.2006.10.011

Cited by 146 publications

(59 citation statements)

References 32 publications

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“…where  is a plastic strain multiplier defined as: (15) and e D is the elastic stiffness matrix. Defining g q t    , the incremental plastic shear strain is calculated as:…”

Section: Stress Integration Scheme and Overshooting Issuesmentioning

confidence: 99%

“…Although most of the methods proposed to deal with overshooting problem are applicable to uniaxial loading, Lee et al [15] proposed a method for two-dimensional plain strain loading 6 conditions. In this method stress reversal is assumed to occur when the angle between the two subsequent stress increment vectors on the loading surface exceeds a pre-defined value.…”

Section: Introductionmentioning

confidence: 99%

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On implementation of bounding surface plasticity models with no overshooting effect in solving boundary value problems

E-Kan

Taiebat

2014

Computers and Geotechnics

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Taiebat, H. (2014). On implementation of bounding surface plasticity models with no overshooting effect in solving boundary value problems. Computers and Geotechnics, On implementation of bounding surface plasticity models with no overshooting effect in solving boundary value problems AbstractThis paper presents a new scheme that can be used to overcome the overshooting effect, one of the well known problems occurs during application of bounding surface plasticity models in numerical analysis of boundary value problems. The scheme is based on definition of clouds of loading surfaces with a specific margin of strains within which unloading does not accompanied kinematic hardening. The basic concept of the scheme is introduced and the methodology and the relevant step by step algorithm to implement this scheme are presented. This scheme has been incorporated in the UNSW bounding surface model and implemented in a finite difference code and used to simulate cyclic triaxial tests as well as complicated monotonic and dynamic boundary value problems. The satisfactory performance of the scheme is demonstrated and its efficiency is discussed thorough these simulations. Abstract: This paper presents a new scheme that can be used to overcome the overshooting effect, one of the well known problems occurs during application of bounding surface plasticity models in numerical analysis of boundary value problems. The scheme is based on definition of clouds of loading surfaces with a specific margin of strains within which unloading does not accompanied kinematic hardening. The basic concept of the scheme is introduced and the methodology and the relevant step by step algorithm to implement this scheme are presented. This scheme has been incorporated in the UNSW bounding surface model and implemented in a finite difference code and used to simulate cyclic triaxial tests as well as complicated monotonic and dynamic boundary value problems. The satisfactory performance of the scheme is demonstrated and its efficiency is discussed thorough these simulations. Disciplines Engineering | Science and Technology Studies

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“…where  is a plastic strain multiplier defined as: (15) and e D is the elastic stiffness matrix. Defining g q t    , the incremental plastic shear strain is calculated as:…”

Section: Stress Integration Scheme and Overshooting Issuesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On implementation of bounding surface plasticity models with no overshooting effect in solving boundary value problems

E-Kan

Taiebat

2014

Computers and Geotechnics

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“…Later on, more comprehensive non-linear kinematic hardening models that combine both translation and expansion of the yield surface were developed and found to be suitable for the prediction of material behavior under cyclic loading conditions (Chaboche, 1986;Dafalias and Popov, 1975;Frederick and Armstrong, 2007;Ohno and Wang, 1993;Yoshida and Uemori, 2002). More recently, further improvements have been made to account for material anisotropy (Chung et al, 2005;Geng and Wagoner, 2002;Lee et al, 2007;Yoshida et al, 2015). A general review for the kinematic hardening rules can be found in (Chaboche, 2008).…”

Section: Introductionmentioning

confidence: 99%

Identification of nonlinear kinematic hardening constitutive model parameters using the virtual fields method for advanced high strength steels

Barlat

Kim

et al. 2016

International Journal of Solids and Structures

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In this work, the nonlinear kinematic hardening combined with Voce isotropic hardening was selected to characterize the material behavior of advanced high strength steel sheet samples subjected to a few reverse loading cycles. Multi-components of backstress were considered for the combined nonlinear kinematical hardening model, namely, one, two, and three backstress components. To calibrate the model, an inverse problem solution tool, so-called virtual fields method, which takes full advantage of full-field deformation measurement, was applied to identify the material constitutive parameters. First, finite element simulations of forward-reverse simple shear were performed to validate the proposed identification method. The influence of strain noise on the identification accuracy was also evaluated. Then, the proposed method was applied to three kinds of sheet metals (DP600, TRIP780 and TWIP980) tested under two cycles of forward-reverse simple shear for parameter identification. The identification results obtained with different number of backstress components were critically discussed.

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“…[25][26][27][28] There have been several attempts to model permanent softening, hardening stagnation and the cross effect. 1,5,9,[29][30][31][32][33] However, models based on crystal plasticity or two yield surfaces are computationally more expensive compared to those based on a single yield surface.…”

Section: Introductionmentioning

confidence: 99%

“…Here, P, Q and R are constants and e pre is the strain before loading direction change. The loading direction change can be evaluated using the criterion proposed by Lee et al 33) As for kinematic hardening without permanent softening, the following expression was used for Eq. (6) As for the cross effect observed during the two stage uniaxial tests, it was incorporated by adding D ළ s iso ϭAe ϪBe ළ current to the isotropic hardening part whenever there was a loading direction change by 90 degrees.…”

mentioning

confidence: 99%

Effect of Pre-strain on Anisotropic Hardening and Springback Behavior of an Ultra Low Carbon Automotive Steel

2011

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Modeling non-monotonous and/or non-proportional deformation is challenging partly because of lack of constitutive equations and more so because of unavailability of sufficient experimental data. In the present work, two different experiments involving non-monotonous/non-proportional deformation have been proposed. The model based on combined isotropic-kinematic hardening with permanent softening 1) was utilized to simulate the deformation behavior under such deformation conditions and it was found that the above model was capable of correctly predicting the deformations for both cases considered here. It was also noticed that the incorporation of permanent softening often observed during reverse loading, is important for accurately predicting the deformation when bending-unbending (or strain reversals) takes place.KEY WORDS: non-proportional; 2D draw bend; permanent softening; combined isotropic-kinematic hardening.experiments on an ultra low carbon steel, for different combinations of cross tests and tension-compression tests and also proposed modifications to the combined hardening model of Chung et al. 1,28) It was observed for this particular steel that, during the cross test, the hardening curve finally converges to the original monotonic curve suggesting that the isotropic hardening might be good enough (excepting the cross effect observed initially before converging to the original curve) to model the hardening behavior during cross tests. However, it was not clear, whether the hardening curve will saturate to the original monotonic curve even for more complex strain paths. They also observed a significant amount of permanent softening during reverse loading and suggested that the softening behavior is not only incurred by the translation of the yield surface but also by the shrinkage of the yield surface size. They consequently proposed a method to incorporate both of these in the constitutive model.In the present work, two new two-stage experiments under non-monotonous/non-proportional deformation conditions were performed for the same ultra law carbon steel used by Verma et al. 1) : 2D draw bending of a pre-strained sample and uni-axial simple tension with a specimen prepared from the wall portion of a 2D draw-bent component. Simulations were performed using the material model proposed by Verma et al. 1) for these experiments and it was found that the model was capable of successfully representing the deformation even for such complex deformation paths for this steel grade. Experimental ProcedureThe material selected for this study was the same cold rolled, annealed and skin passed interstitial free high strength (IFHS) steel with 1.0 mm thickness, which was used by Verma et al. and the tensile properties of which is given in Table 1. 1) In this study, 2D draw bending experiments were performed for two different cases: the one with samples prepared from the base material without any pre strains and the second with specimens prepared on samples which were already pre-strained by 5% (nominal strain)....

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A practical two-surface plasticity model and its application to spring-back prediction

Cited by 146 publications

References 32 publications

On implementation of bounding surface plasticity models with no overshooting effect in solving boundary value problems

On implementation of bounding surface plasticity models with no overshooting effect in solving boundary value problems

Identification of nonlinear kinematic hardening constitutive model parameters using the virtual fields method for advanced high strength steels

Effect of Pre-strain on Anisotropic Hardening and Springback Behavior of an Ultra Low Carbon Automotive Steel

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