Numerically produced forming limit diagrams for metal sheets with voids considering micromechanical effects

Kristensson, Ola

doi:10.1016/j.euromechsol.2005.05.007

Cited by 6 publications

(6 citation statements)

References 21 publications

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“…Hora et al (1996) proposed an improved version of the Swift criterion and applied it to the prediction of FLDs, while Brunet and Morestin (2001) used this criterion with an advanced elastic-plastic damage constitutive model and finite element analysis. Recently, Kuroda and Tvergaard (2004) studied the development of shear bands by using non-associative plasticity within the framework of a finite element analysis, while Kristensson (2006) used a micromechanical model with void effects (size and distribution in the representative volume element) to study the formability of metal sheets with voids.…”

Section: Introductionmentioning

confidence: 99%

Strain localization analysis using a large deformation anisotropic elastic–plastic model coupled with damage

Haddag

Abed‐Meraim

Balan

2009

International Journal of Plasticity

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Sheet metal forming processes generally involve large deformations together with complex loading sequences. In order to improve numerical simulation predictions of sheet parts forming, physically-based constitutive models are often required. The main objective of this paper is to analyze the strain localization phenomenon during the plastic deformation of sheet metals in the context of such advanced constitutive models. Most often, an accurate prediction of localization requires damage to be considered in the finite element simulation. For this purpose, an advanced, anisotropic elastic-plastic model, formulated within the large strain framework and taking strain-path changes into account, has been coupled with an isotropic damage model. This coupling is carried out within the framework of continuum damage mechanics. In order to detect the strain localization during sheet metal forming, Rice's localization criterion has been considered, thus predicting the limit strains at the occurrence of shear bands as well as their orientation. The coupled elastic-plastic-damage model has been implemented in Abaqus/Implicit. The application of the model to the prediction of Forming Limit Diagrams (FLDs) provided results that are consistent with the literature and emphasized the impact of the hardening model on the strain-path dependency of the FLD. The fully threedimensional formulation adopted in the numerical development allowed for some new results -e.g. the out-of-plane orientation of the normal to the localization band, as well as more realistic values for its in-plane orientation.

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Section: Introductionmentioning

confidence: 99%

Strain localization analysis using a large deformation anisotropic elastic–plastic model coupled with damage

Haddag

Abed‐Meraim

Balan

2009

International Journal of Plasticity

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“…Table 4 lists the sheet material plastic properties adopted in all the theoretical predictions discussed in the present section. From Equation 25, the initial value of the geometrical imperfection f 0 for the AISI-1012 steel sheet is equal to 0.995. Figure 13a presents linear strain-paths predictions determined as a function of the value of the plastic anisotropy coefficient at 45 0 with respect to the rolling direction.…”

Section: Limit Strains and Surface Roughnessmentioning

confidence: 99%

“…Figure 17 compares the experimental limit strains determined for the IF hot-dip galvanized steel sheet with the theoretical predictions of the M-K model based upon the Hill's quadratic 34 and Ferron's 35 yield criteria. From Equation 25 with the initial average roughness value of 0.93 mµ, the initial value of the geometrical imperfection of the M-K model f 0 is equal to 0.997. The parameters adopted in Ferron's orthotropic plasticity yield criterion were m = n = p = q = 2 and k = 0.2.…”

Section: Limit Strains and Surface Roughnessmentioning

confidence: 99%

“…Indeed, the flow localization process in the presence of an initial thickness imperfection is accelerated by the development of damage, which is more rapid in the thinner, more stretched region 22,23 . A quasi-random arrangement of hard elastic inclusions was also considered in finite element (FE) calculations to generate inhomogeneous strain fields leading to necking of the representative volume element 24,25 . Wu et al 26 performed FE computations of the response of a macroscopically infinitely small unit cell made of an assembly of elements, where each element represents a grain following the constitutive laws of crystal plasticity.…”

Section: Introductionmentioning

confidence: 99%

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Experimental analysis and theoretical predictions of the limit strains of a hot-dip galvanized interstitial-free steel sheet

2013

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In this work, the formability of a hot-dip galvanized interstitial-free (IF) steel sheet was evaluated by means of uniaxial tensile and Forming Limit Curve (FLC) tests. The FLC was defined using the flat-bottomed Marciniak's punch technique, where the strain analysis was made using a digital image correlation software. A plastic localization model was also proposed wherein the governing equations are solved with the help of the Newton's method. The investigated hot-dip galvanized IF steel sheet presented a very good formability level in the deep-drawing range consistent with the measured Lankford values. The predicted limit strains were found to be in good agreement with the experimental data of the hot-dip galvanized IF steel sheet owing to the definition of the localization model geometrical imperfection as a function of the experimental surface roughness evolution and, in particular, to the yield surface flattening near to the plane-strain stress state authorized by the adopted yield criterion.

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“…In Al alloy sheet, the factor n av r av formability index showed a direct relationship with formability of sheet metal. As the factor n av r av increased, the formability also increased [2,27,28]. The percentage increase of n av r av index in zone 3 was found to be highest due to fully recrystallized microstructure as shown in Figure 4.…”

Section: Mechanical/tensile Propertiesmentioning

confidence: 85%

Aluminium and Its Interlinking Properties

Velmanirajan¹,

Anuradha²

2020

Aluminium Alloys and Composites

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Aluminium and its alloys are preferred materials, because of its varied desirable properties, availability and inexpensiveness. Aluminium alloys exist in several different grades available in the market commercially, from pure (about 99% Al content) to specific varieties based on the impurities contained in it by chemical composition. The properties are differing in nature which can be scientifically seen and justified in different perspectives. The properties such as forming, fracture mode, tensile, etc. can be seen through the metallurgical aspect, chemical aspect, crystallographic texture, forming limits and mechanical properties. The truth of its properties can be viewed by interlinking/correlating nature of its different studies. The purpose of this chapter is to show the correlating nature of different properties of aluminium of same and different grades.

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Numerically produced forming limit diagrams for metal sheets with voids considering micromechanical effects

Cited by 6 publications

References 21 publications

Strain localization analysis using a large deformation anisotropic elastic–plastic model coupled with damage

Strain localization analysis using a large deformation anisotropic elastic–plastic model coupled with damage

Experimental analysis and theoretical predictions of the limit strains of a hot-dip galvanized interstitial-free steel sheet

Aluminium and Its Interlinking Properties

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