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A strain rate dependent anisotropic hardening model and its validation through deep drawing experiments

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Abstract

In the present work, a modified version of the widely used Yld2000-2d yield function and its implementation into the commercial FE-code LS-Dyna is presented. The difference to the standard formulation lies in the dependency of the function parameters on the equivalent plastic strain. Furthermore, strain rate dependency is incorporated. After a detailed description of the model and the identification of the parameters, the numerical implementation i.e., the stress-update algorithm used for the implementation is explained. In order to validate the model, two different materials, namely Formalex™5x, a 5182-based aluminum alloy and a DC05 mild steel were characterized. The results of the tensile and hydraulic bulge tests are presented and used for the parameter identification. The experimental curves are reproduced by means of one element tests using the standard and modified model to demonstrate the benefit of the modifications. For validation purposes, cross die geometries were drawn with both materials. The outer surface strains were measured with an optical measurement system. The measured major and minor strains were compared to the results of simulations using the standard and the modified Yld2000-2d model. A significant improvement in prediction accuracy has been demonstrated.

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Acknowledgments

This work was carried out in the framework of the CTI (Commission for Technology and Innovation, Swiss Federation) project 10929.1 PFIW-IW. The financial support of the CTI is gratefully acknowledged. Moreover, the authors thank Martin Grünbaum and Jürgen Ehrenpfort from Daimler AG, as well as the teams of Constellium CRV and Suisse Technology Partners AG for providing the cross die test results for steel, respectively aluminum. Furthermore, the authors thank GOM for assisting with the evaluation of the optical measurements. Finally, the authors very much appreciate the general support by AutoForm, Constellium CRV (Centre Recherche de Voreppe) and Synthes, who are the industrial partners of the CTI project.

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Authors and Affiliations

  1. Institute of Virtual Manufacturing, ETH Zurich, Tannenstrasse 3 8092, Zurich, Switzerland

    Philip Peters, Niko Manopulo & Pavel Hora

  2. Constellium, Badische Bahnhofstrasse 16, 8212, Neuhausen, Switzerland

    Christian Lange

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  1. Philip Peters
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  2. Niko Manopulo
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  4. Pavel Hora
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Correspondence to Philip Peters.

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Peters, P., Manopulo, N., Lange, C. et al. A strain rate dependent anisotropic hardening model and its validation through deep drawing experiments. Int J Mater Form 7, 447–457 (2014). https://doi.org/10.1007/s12289-013-1140-0

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  • DOI: https://doi.org/10.1007/s12289-013-1140-0

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