Application of the Arbitrary Lagrangian Eulerian formulation to the numerical simulation of cold roll forming process

Boman, Romain; Papeleux, Luc; Bui, Q. V.; Ponthot, Jean‐Philippe

doi:10.1016/j.jmatprotec.2006.04.120

Cited by 28 publications

(21 citation statements)

References 6 publications

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“…Such a transitional surface can be constructed and analysed using simple theory suggested by Ding and Duncan (2009) and analysed in more detail by numerical methods such as the roll forming FEA by Jiang et al (2009), and other methods like the Arbitrary Lagrangian Eulerian (ALE) method (Boman et al, 2006), the relaxation method proposed by Ding et al (2006) and the finite strip method applied in roll forming by Han et al (2005). One way to manipulate the strip moving in the transitional surface is via Millipede forming.…”

Section: A Transitional Surface and An Optimal Transitional Surfacementioning

confidence: 99%

A novel sheet metal forming method—Millipede forming

Ding

Meehan

Daniel

2011

Journal of Materials Processing Technology

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Section: A Transitional Surface and An Optimal Transitional Surfacementioning

confidence: 99%

A novel sheet metal forming method—Millipede forming

Ding

Meehan

Daniel

2011

Journal of Materials Processing Technology

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“…Adaptive finite element method, which has been studied for nearly 25 years, tries to automatically refine, coarsen, or relocate a mesh and, or adjust the basis to achieve a solution having a specified accuracy in an optimal fashion [37][38][39]. Another established formulation to the numerical simulation of metal forming process is the arbitrary Lagrangian Eulerian (ALE) approach, which has been used by several researchers in modelling the sheet metal forming process [40][41][42].…”

Section: Literature Reviewmentioning

confidence: 99%

Development of a finite element model of metal powder compaction process at elevated temperature

Rahman

Ariffin

Nor

2009

Applied Mathematical Modelling

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a b s t r a c tThis paper presents the finite element modelling of metal powder compaction process at elevated temperature. In the modelling, the behaviour of powder is assumed to be rate independent thermo-elastoplastic material where the material constitutive laws are derived based on a continuum mechanics approach. The deformation process of metal powder has been described by a large displacement based finite element formulation. The Elliptical Cap yield model has been used to represent the deformation behaviour of the powder mass during the compaction process. This yield model was tested and found to be appropriate to represent the compaction process. The staggered-incremental-iterative solution strategy has been established to solve the non-linearity in the systems of equations. Some numerical simulation results were validated through experimentation, where a good agreement was found between the numerical simulation results and the experimental data.

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“…All studies mentioned before used the classical Lagrangian formulation to obtain a stationary solution. The Arbitrary Lagrangian formulation (ALE) formulation has also been used successfully for roll forming of a simple U and a complex rocker panel . Eulerian step in ALE formulations requires 77% of global wall‐clock time as stated by Crutzen et al They believe that if the Eulerian step is computed parallel with multiple processors, a huge reduction in total CPU time is possible compared to the Lagrangian simulation with the same number of finite elements.…”

Section: Introductionmentioning

confidence: 99%

FE Simulation of Roll Forming of a Complex Profile with the Aid of Steady State Properties

Mahajan

Abrass

Groche

2018

steel research int.

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Roll forming is a continuous, steady state process where state variables remain unchanged over the process time with respect to a fixed position. The design of roll forming is a complex and iterative process which mainly depends on the experience of designers. In industry, the finite element analysis (FEA) is commonly used to design rolls and to predict important process variables such as longitudinal peak strains and springback. However, the FEA is attributed with a high computational cost. The approach described in this paper aims at the reduction of the computational cost with the aid of steady state properties evolved in roll forming. To exploit the steady state properties, the steady state extrapolation algorithm (SSEA) is used in conjunction with conventional FE simulations. A complex profile requiring 10 roll forming stations is considered for the validation of the simulations. Experimental measurements confirm the results from conventional simulation as well as the simulation assisted by the SSEA. Springback behavior predicted by the simulation using SSEA is also verified successfully. With the help of the SSEA, the total computational time for the FE analysis of the complex profile is reduced by 54.7%.

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Application of the Arbitrary Lagrangian Eulerian formulation to the numerical simulation of cold roll forming process

Cited by 28 publications

References 6 publications

A novel sheet metal forming method—Millipede forming

A novel sheet metal forming method—Millipede forming

Development of a finite element model of metal powder compaction process at elevated temperature

FE Simulation of Roll Forming of a Complex Profile with the Aid of Steady State Properties

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