Simulation of springback: Through-thickness integration

Wagoner, R. H.; Li, M.

doi:10.1016/j.ijplas.2006.04.005

Cited by 117 publications

(52 citation statements)

References 17 publications

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“…In summary, five integration points are the minimum acceptable, considering the computation time and accurateness of springback prediction. The Gauss' rule with five integration points gives better prediction of the springback coefficient, which is in good agreement with the results of Burgoyne and Crisfield [35] and Wagoner and Lee [26]. In the case of Gauss quadrature, an increase of the number of integration points from five to 15 decreases the springback prediction error at 0.24%.…”

Section: Effect Of the Number Of Integration Pointssupporting

confidence: 87%

“…In the case of non-linear analysis, five integration points are sufficient to provide accurate results [24], while Xu et al [25] concluded that usually seven integration points are sufficient. On the contrary, Wagoner and Li [26] found that to analyse the springback with 1% computational error, up to 51 points are required for shell type elements. Thus, as noticed by Banabic [27], the choice of a number of integration points is still an open issue in the simulation of springback.…”

Section: Introductionmentioning

confidence: 99%

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Effect of Computational Parameters on Springback Prediction by Numerical Simulation

Trzepieciński

Lemu

2017

Metals

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Elastic recovery of the material, called springback, is one of the problems in sheet metal forming of drawpieces, especially with a complex shape. The springback can be influenced by various technological, geometrical, and material parameters. In this paper the results of experimental testing and numerical study are presented. The experiments are conducted on DC04 steel sheets, commonly used in the automotive industry. The numerical analysis of V-die air bending tests is carried out with the finite element method (FEM)-based ABAQUS/Standard 2016 program. A quadratic Hill anisotropic yield criterion is compared with an isotropic material described by the von Mises yield criterion. The effect of a number of integration points and integration rules on the springback amount and computation time is also considered. Two integration rules available in ABAQUS: the Gauss' integration rule and Simpson's integration rule are considered. The effect of sample orientation according to the sheet rolling direction and friction contact behaviour on the prediction of springback is also analysed. It is observed that the width of the sample bend in the V-bending test influences the stress-state in the cross-section of the sample. Different stress-states in the sample bend of the V-shaped die cause that the sheet undergoes springback in different planes. Friction contact phenomena slightly influences the springback behaviour.

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Section: Effect Of the Number Of Integration Pointssupporting

confidence: 87%

Section: Introductionmentioning

confidence: 99%

Effect of Computational Parameters on Springback Prediction by Numerical Simulation

Trzepieciński

Lemu

2017

Metals

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“…However, in literature the recommended number of integration point layers for springback simulations varies greatly. Li et al (2002), and Wagoner and Li (2007) recommended 15-25 points depending on sheet tension and bending radius. Others found five or seven integration point layers sufficient, cf.…”

Section: Forming Simulationmentioning

confidence: 99%

Finite Element Analysis of Sheet Metal Assemblies: Prediction of Product Performance Considering the Manufacturing Process

Govik¹

2014

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“…More relevant of these to CAF are friction condition, thermally-induced distortions and design of tooling (Yang et al, 2013). The use of finite element method further introduces numerical sensitivity to the problem in the form of numerical scheme, mesh density, element type and the number of through-thickness integration points in shell elements, to name but a few (Narasimhan and Lovell, 1999;Wagoner and Li, 2007;Wagoner et al, 2013).…”

Section: Introductionmentioning

confidence: 99%

Influences of residual stresses and initial distortion on springback prediction of 7B04-T651 aluminium plates in creep-age forming

Lam

Shi

Lin

et al. 2015

International Journal of Mechanical Sciences

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Abstract. Springback behaviour of surface-machined 7B04-T651 aluminium plates of 3 to 8 mm thicknesses, creep-age formed under a single curvature bending radius of 1200 mm, has been experimentally investigated. The surface residual stress levels of the plates have been measured and the typical residual stress distribution and values in 7000-series aluminium alloys have been reviewed and analysed. Finite element models have been developed to simulate creep-age forming (CAF) processes and predict the amount of springback in the physical CAF test. Machining-induced residual stresses and distortion have been considered in the finite element models. This paper presents a first attempt to study the effect of machining-induced residual stresses on the errors of springback prediction in CAF of 7000-series aluminium alloy panel components. It has been found that the effect of machininginduced residual stresses on the accuracy of springback prediction is related to the initial loading stress levels in CAF. In addition, when the initial distortion conforms to the loading curvature, an opposing effect on the material's deformation is observed. Creep-ageing material constant related to effective creep strain rate.1 Creep-ageing material constant related to rate of age hardening.2 Creep-ageing material constant related to the depletion of solute into precipitate.3 Creep-ageing material constant related to rate of precipitate growth.4 Creep-ageing material constant controlling the effect of dislocation density (or creep) on precipitate nucleation and growth.5 Creep-ageing material constant related to rate of dislocation density.Creep-ageing material constant related to rate of dislocation hardening.Bending radius of forming tool.̅ , ̅ Normalised precipitate size and its rate term respectively. ̅ 0 Initial value for normalised precipitate size.Radius of revolvement of workheads of the flexible form tool.Creep-ageing time.1 , 2 , 3 , 4 Time of loading, heating, cooling and unloading respectively. Artificial ageing time.Solution heat treatment time., , Translational degrees of freedom in Cartesian coordinates., , Rotational degrees of freedom in Cartesian coordinates.Poisson's ratio., , Cartesian coordinates., positions of the lower and upper splines respectively.

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Simulation of springback: Through-thickness integration

Cited by 117 publications

References 17 publications

Effect of Computational Parameters on Springback Prediction by Numerical Simulation

Effect of Computational Parameters on Springback Prediction by Numerical Simulation

Finite Element Analysis of Sheet Metal Assemblies: Prediction of Product Performance Considering the Manufacturing Process

Influences of residual stresses and initial distortion on springback prediction of 7B04-T651 aluminium plates in creep-age forming

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