Influence of out-of-plane compression stress on limit strains in sheet metals

Nurcheshmeh, Morteza; Green, Daniel E.

doi:10.1007/s12289-011-1044-9

Cited by 34 publications

(7 citation statements)

References 22 publications

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“…As expected, normal stress enhances the formability of AA5XXX aluminum alloy. This observation is consistent with the study results in many literatures (Nurcheshmeh and Green, 2012).…”

Section: Influence Of Normal Stress On Formability Of Sheet Metals Unsupporting

confidence: 94%

Forming limit prediction for two-stage aluminum alloy sheet forming process considering the effect of normal stress

Zhang

Chen

2016

Engineering Computations

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Purpose – The purpose of this paper is to analyze theoretically the influence of normal stress on the formability of aluminum alloy sheets in non-linear strain paths. Design/methodology/approach – Four loading modes of non-linear strain paths are investigated in detail to consider the effect of normal stress on formability of aluminum alloy sheets. Findings – Results show that the influence of normal stress in the first stage can be ignored. However, the normal stress in the second stage enhances the formability of aluminum alloy sheets obviously. Besides, the normal stress in the second stage is found to have larger effect on forming limit stress than that in the first stage. Research limitations/implications – Maybe more experiment data should be obtained to support the theoretical findings. Originality/value – This current study provides a better understanding of normal stress effect on the formability of aluminum alloy sheets in non-linear strain paths. Since the reacting stage of normal stress play important roles in normal stress effect on the formability of aluminum alloy sheets, the insight obtained in this paper will help to judge the instability of aluminum alloy sheets in complex forming processes with normal stress reacting on the sheet or tube.

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“…As expected, normal stress enhances the formability of AA5XXX aluminum alloy. This observation is consistent with the study results in many literatures (Nurcheshmeh and Green, 2012).…”

Section: Influence Of Normal Stress On Formability Of Sheet Metals Unsupporting

confidence: 94%

Forming limit prediction for two-stage aluminum alloy sheet forming process considering the effect of normal stress

Zhang

Chen

2016

Engineering Computations

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“…On the other hand, the plastic-strain increments in the orthotropic symmetry axes frame (x,y,z) are determined from Equation 6, which depends upon the effective plasticstrain increment and the yield function partial derivatives. The later are obtained by applying the consistency condition, df = 0, to the Ferron's yield function defined in the form of Equations 9 and 10, that is: (17) and then, by defining the terms dx 1 , dx 2 and dα as a function of the variables (x 1 ,x 2 ) along with the help of the relations sin 2 α = σ xy /x 2 and cos 2α = (σ x -σ y )/(2x 2 ), which provides: (18) Where: the yield function partial derivatives 35 orthotropic yield criterion plotted in the principal stress space (σ 1 ,σ 2 ) normalized by the equibiaxial yield stress (σ b ) as a function of the orientation angle (α) between the principal stress axes and the in-plane orthotropy directions.…”

Section: Constitutive Equationsmentioning

confidence: 99%

“…For instance, predictions in good agreement with experimental results have been obtained in the case of aluminum alloys [9][10] with the yield criteria proposed by Barlat et al 11 , Karafillis and Boyce 12 and Barlat et al 13 . The effects of the through-thickness normal and shear stress components have also been taken into account within the framework of the M-K model, see the recent works [14][15][16][17][18] . These out-of-plane effects are not negligible in some sheet metal forming processes, such as hydroforming and incremental sheet forming, where significant through-thickness compressive stress components may take place.…”

Section: Introductionmentioning

confidence: 99%

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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“…Most of these works applied the plane stress assumption. Some literature [18][19][20][21][22] showed necking in tube hydroforming could occur at locations where, in addition to the in-plane stresses, a through thickness compressive stress acts, and therefore the plane stress assumption is not appropriate for tube hydroforming especially for thicker parts. However, the aim of the present study is to present some examples of using the developed model (i.e., FLD of tubular hydroformed parts considering the through-thickness compressive normal stress) in tube hydroforming process.…”

Section: Introductionmentioning

confidence: 99%

Forming limit diagram of tubular hydroformed parts considering the through-thickness compressive normal stress

Hashemi

Abrinia

Assempour

et al. 2014

Proceedings of the Institution of Mechanical Engineers, Part L:

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In this study, the effect of a compressive normal stress has been considered in the determination of forming limit diagrams and forming limit stress diagrams to predict neck initiation failure in tube hydroforming of T-shaped parts. Computation of the forming limit diagrams and FLSDs is based on the generalized Marciniak and Kuczynski method to consider the existence of through-thickness compressive normal stress. The proposed forming limit diagrams and FLSDs were used in conjunction with ABAQUS/EXPLICIT finite element simulations to predict the onset of necking in tube hydroforming of T-shaped part. The amount of calibration pressure and axial feeding required to produce an acceptable part in finite element method was compared to published experimental data, and a satisfactory agreement between the FEM and test results has been achieved. Therefore, the present approach can be used as a reliable criterion to design tube hydroforming processes and reduce the number of costly trials.

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Influence of out-of-plane compression stress on limit strains in sheet metals

Cited by 34 publications

References 22 publications

Forming limit prediction for two-stage aluminum alloy sheet forming process considering the effect of normal stress

Forming limit prediction for two-stage aluminum alloy sheet forming process considering the effect of normal stress

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

Forming limit diagram of tubular hydroformed parts considering the through-thickness compressive normal stress

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