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Investigation and comparative analysis of plastic instability criteria: application to forming limit diagrams

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Abstract

The prediction of forming limit diagrams (FLDs) is of significant interest to the sheet metal forming industry. Although a large variety of plastic instability criteria have been developed during the previous decades, there is still a lack of comparison of their respective theoretical bases. The aim of this paper is to present the theoretical formulations of a representative selection of diffuse necking and strain localization criteria based on the maximum force principle, the Marciniak–Kuczyński method and the bifurcation approach. The theoretical foundations and underlying assumptions for each criterion are specified prior to their application to several materials to determine the associated FLDs. The capability of the criteria to predict the formability of thin metal sheets is discussed and a classification of some of the criteria is attempted according to their order of occurrence in terms of the localization prediction.

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Authors and Affiliations

  1. Laboratoire d’Étude des Microstructures et de Mécanique des Matériaux, LEM3, UMR CNRS 7239, Arts et Métiers ParisTech, Metz, 4 rue Augustin Fresnel, 57078, Metz, France

    Farid Abed-Meraim, Tudor Balan & Guillaume Altmeyer

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  1. Farid Abed-Meraim
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  2. Tudor Balan
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  3. Guillaume Altmeyer
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Correspondence to Farid Abed-Meraim.

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Abed-Meraim, F., Balan, T. & Altmeyer, G. Investigation and comparative analysis of plastic instability criteria: application to forming limit diagrams. Int J Adv Manuf Technol 71, 1247–1262 (2014). https://doi.org/10.1007/s00170-013-5530-8

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  • DOI: https://doi.org/10.1007/s00170-013-5530-8

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