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A reduced single-pattern model for the numerical simulation of multi-pattern metal forming

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Abstract

The aim of this study is to develop a reduced single-pattern model for a multi-pattern metal forming process called repetitive corrugation and straightening (RCS) which belongs to the category of Severe Plastic Deformation (SPD) processes. The corrugation die in RCS is composed of multiple similarly repeated patterns. First, a full multi-pattern model with a large number of patterns is developed. An analysis of this model reveals that the mechanical fields stabilize in the patterns away from the free boundary. Then, a reduced model defining a single pattern is developed to represent the stabilized behavior of the multi-pattern model, based on an approximate description of the boundary conditions in the stabilized sections of the multi-pattern model. Three different boundary conditions are proposed to capture the stress redistribution after each stage of the process in the reduced single-pattern model. It is shown that the single-pattern model with a symmetric-periodic boundary condition during unloading is the best choice to reproduce the stress and strain behavior of the stabilized sections of the multi-pattern model.

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Notes

  1. RCS encompasses several processing techniques including Constrained Groove Pressing (CGP) [28] and Constrained Studded Pressing (CSP) [31].

  2. Only the right half of each pattern are investigated due to the fact that the stress and strain values in each pattern are almost symmetric because of the the symmetric form of corrugation die patterns.

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Acknowledgements

Fruitful discussions with P. Gilormini are gratefully acknowledged. G. Gonzalez acknowledges the funding support from UNAM-DGAPA-PAPIIT through project IN102321.

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Authors and Affiliations

  1. PIMM, Arts et Metiers Institute of Technology, CNRS, Cnam, HESAM University, 151 boulevard de l’Hopital, 75013, Paris, France

    Pouya Tajdary, Léo Morin & Chedly Braham

  2. Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, Circuito Ext S/N, Cd. Universitaria, 04510, Ciudad de México, Mexico

    Gonzalo Gonzalez

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  1. Pouya Tajdary
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  2. Léo Morin
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  3. Chedly Braham
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  4. Gonzalo Gonzalez
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Correspondence to Léo Morin.

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Tajdary, P., Morin, L., Braham, C. et al. A reduced single-pattern model for the numerical simulation of multi-pattern metal forming. Int J Mater Form 14, 1403–1416 (2021). https://doi.org/10.1007/s12289-021-01636-6

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  • DOI: https://doi.org/10.1007/s12289-021-01636-6

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