Prediction of sheet forming limits with Marciniak and Kuczynski analysis using combined isotropic–nonlinear kinematic hardening

Nurcheshmeh, Morteza; Green, Daniel E.

doi:10.1016/j.ijmecsci.2010.12.004

Cited by 23 publications

(8 citation statements)

References 23 publications

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“…The most well-known test in order to obtain FLDs experimentally is an out-of-plane test (e.g., Nakazima test) in which a sheet metal specimen is fixed between circular die rings and stretched by a hemispherical punch [31]. The laboratory test results demonstrated that the FLDs are influenced by many factors, including strain rate [32,33], strain hardening index, anisotropy coefficients [34,35], heat treatment [36,37], grain size and microstructure [38,39], strain path changes [40,41], and sheet thickness [42]. However, work has not been done so far to evaluate the FLDs of samples produced by ARB; FLD has been used to evaluate the formability of fine grained and ultra-fine grained sheet metals produced by other SPD methods, such as ECAR [43] and ECAP [44].…”

Section: Introductionmentioning

confidence: 99%

Experimental evaluation of forming limit diagram and mechanical properties of nano/ultra-fine grained aluminum strips fabricated by accumulative roll bonding

Rahmatabadi

Hashemi

2017

International Journal of Materials Research

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Section: Introductionmentioning

confidence: 99%

Experimental evaluation of forming limit diagram and mechanical properties of nano/ultra-fine grained aluminum strips fabricated by accumulative roll bonding

Rahmatabadi

Hashemi

2017

International Journal of Materials Research

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“…On the other hand, the plastic behavior has been modeled by the Hosford anisotropic yield criterion [43]. The experimental results, originally published in Graf and Hosford [41] and Graf and Hosford [42], have been compared with several numerical predictions [23,44,45]. All the above cited numerical contributions are based on the M-K approach to predict the formability limit.…”

Section: Relevance Of the Mixed Hardening Model: Comparison With Expementioning

confidence: 99%

“…The main difference between the above cited numerical investigations is related to the modeling of the mechanical behavior of the studied sheets. Indeed, the Karafillis and Boyce yield function has been used in Cao et al [23] and Yao and Cao [45] to model the plastic anisotropy, while the Hill yield function has been used in Nurcheshmeh and Green [44]. For the three above cited references, isotropic hardening has been considered and it has been modeled by the Swift hardening law.…”

Section: Relevance Of the Mixed Hardening Model: Comparison With Expementioning

confidence: 99%

Effect of kinematic hardening on localized necking in substrate-supported metal layers

Bettaieb

Abed‐Meraim

2017

International Journal of Mechanical Sciences

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Prediction of necking limits in thin substrate-supported metal layers, which are typically used as functional components in electronic devices, represents nowadays an ambitious challenge. The specific purpose of the current work is, first, to numerically investigate the effect of kinematic hardening on localized necking in a freestanding metal layer. Second, the impact of adding a substrate layer on the ductility evolution of the resulting elastomer/metal bilayer will be analyzed. The materials in the metal and substrate layers are assumed to be isotropic, incompressible and strain-rate independent. The behavior of the metal layer is described by a rigid-plastic model with mixed (isotropic and kinematic) hardening. The isotropic hardening contribution is modeled by the Hollomon law, while kinematic hardening is modeled by the Armstrong-Frederick law. The substrate layer is made of elastomer material whose mechanical behavior is assumed to be hyperelastic and modeled by a neo-Hookean constitutive law. The Marciniak-Kuczynski imperfection analysis is used to predict plastic flow localization. Through various numerical simulations, the influence of kinematic hardening on localized necking as well as the impact of the addition of an elastomer layer are specifically emphasized. Comparisons with experimental results are also carried out to assess the relevance of incorporating kinematic hardening in the constitutive modeling of freestanding metal sheets.

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“…Ghazanfari and Assempour, 12 citing the difficulty in finding the initial inhomogeneity coefficient to calibrate the FLD, replaced the usual assumption of geometrical inhomogeneity with material inhomogeneity. To compute FLD, Nurcheshmeh and Green 13 developed a modified version of MK model based on the works of Stachowicz, 14 wherein the imperfection factor changes with deformation and these changes depend on initial surface roughness and grain size of the sheet. It is clear from the discussion that MK method presented a theory good enough to understand the failure of sheets under biaxial loading.…”

Section: Introductionmentioning

confidence: 99%

Forming limit diagram generation with reduced experiments and modelling for different grades of automotive sheet steel using CrachLab

Singh

Sarkar

Raj

et al. 2017

The Journal of Strain Analysis for Engineering Design

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Forming limit diagram is one of the most commonly used failure criteria for sheet metal forming analysis. Forming limit diagram generation is time-consuming, and therefore, any reduction in the test requirements will be useful for the industry. In this work, a novel method has been proposed to generate such forming limit diagram with significantly reduced experimental efforts. The proposed new method is based on a combination of fewer experiments and the use of CrachLab (developed by MATFEM), which is based on the numerical modelling of tensile instability using Marciniak-Kuczynski method or MK method. The forming limit diagram generated using the new methodology has been compared with the one obtained using the standard procedure (as per ISO 12004-2), and a good correlation has been obtained. The proposed method, which requires significantly less experimental efforts, will be very useful for industries.

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Prediction of sheet forming limits with Marciniak and Kuczynski analysis using combined isotropic–nonlinear kinematic hardening

Cited by 23 publications

References 23 publications

Experimental evaluation of forming limit diagram and mechanical properties of nano/ultra-fine grained aluminum strips fabricated by accumulative roll bonding

Experimental evaluation of forming limit diagram and mechanical properties of nano/ultra-fine grained aluminum strips fabricated by accumulative roll bonding

Effect of kinematic hardening on localized necking in substrate-supported metal layers

Forming limit diagram generation with reduced experiments and modelling for different grades of automotive sheet steel using CrachLab

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