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On the identification of kinematic hardening with reverse shear test

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Abstract

An inverse analysis methodology for determining the parameters of the kinematic law of sheet metals is proposed. The sensitivity of the load versus displacement curves, obtained by reverse shear tests of rectangular and notched specimens, to the kinematic law parameters are studied following a forward analysis, based on finite element simulations. Afterwards, an inverse analysis methodology using a gradient-based Levenberg–Marquardt method is established, by evaluating the relative difference between numerical and experimental results of the shear test, i.e. the load evolution in function of the displacements of the grips. The use of a notched specimen is proposed in order to allow an easy and suitable numerical representation of the boundary conditions of the shear experimental test. This methodology has proven to be appropriate for determining the parameters of the kinematic hardening law.

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Acknowledgments

This research work is sponsored by national funds from the Portuguese Foundation for Science and Technology (FCT) via the projects PTDC/EME–TME/113410/2009 and PEst-C/EME/UI0285/2013 and by FEDER—Fundo Europeu de Desenvolvimento Regional funds through the program COMPETE—Programa Operacional Factores de Competitividade, under the project CENTRO-07-0224-FEDER-002001 (MT4MOBI). One of the authors, P.A. Prates, was supported by a grant for scientific research (SFRH/BD/68398/2010) from the FCT. All supports are gratefully acknowledged.

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Authors and Affiliations

  1. CEMUC, Department of Mechanical Engineering, University of Coimbra, Polo II, Rua Luís Reis Santos, Pinhal de Marrocos, 3030-788, Coimbra, Portugal

    A. F. G. Pereira, P. A. Prates, N. A. Sakharova, M. C. Oliveira & J. V. Fernandes

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  1. A. F. G. Pereira
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  2. P. A. Prates
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  3. N. A. Sakharova
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  4. M. C. Oliveira
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  5. J. V. Fernandes
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Correspondence to A. F. G. Pereira.

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Pereira, A.F.G., Prates, P.A., Sakharova, N.A. et al. On the identification of kinematic hardening with reverse shear test. Engineering with Computers 31, 681–690 (2015). https://doi.org/10.1007/s00366-014-0369-7

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  • DOI: https://doi.org/10.1007/s00366-014-0369-7

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