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Friction Compensation in the Upsetting of Cylindrical Test Specimens

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Abstract

This manuscript presents a combined numerical and experimental methodology for determining the stress-strain curve of metallic materials from the measurements of force and displacement obtained in the axial compression of cylindrical test specimens with friction between the specimens and the platens. The methodology is based on minimizing the error between the average surface pressure obtained from the experimental measurements of the force and displacement and that obtained from the slab method of analysis of metal plasticity. Three different friction models based on Coulomb friction, the constant friction model or combined friction models are utilized. Experimental results obtained from cylindrical and Rastegaev test specimens with different lubricants combined with the experimental determination of friction by means of ring compression tests allows compensating the effect of friction in the determination of the material flow curve. Comparison with the flow curves determined without friction compensation shows the viability of the proposed methodology. The proposed methodology is a simple and effective alternative to other solutions available in the literature and the pseudo-code supplied in the Appendix is provided for those readers interested in utilizing the associated numerical algorithm for determining the stress-strain curves of metallic materials.

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Acknowledgments

The authors would like to acknowledge the support provided by The Danish Council for Independent Research under the grant number DFF – 4005-00130. Paulo Martins would also like to acknowledge the support provided by Fundação para a Ciência e a Tecnologia of Portugal under LAETA – UID/EMS/50022/2013 and PTDC/EMS-TEC/0626/2014.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Technical University of Denmark, DTU – Building 425, DK-2800 Kgs., Lyngby, Denmark

    P. Christiansen & N. Bay

  2. IDMEC, Instituto Superior Tecnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001, Lisboa, Portugal

    P. A. F. Martins

Authors
  1. P. Christiansen
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  2. P. A. F. Martins
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  3. N. Bay
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Corresponding author

Correspondence to P. Christiansen.

Appendix 1

Appendix 1

A pseudo-code is listed in the appendix enabling the reader to perform friction correction in upsetting experiments. The used names for variables are explained during the code. The pseudo-code is written in MATLAB version 14.

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Christiansen, P., Martins, P. & Bay, N. Friction Compensation in the Upsetting of Cylindrical Test Specimens. Exp Mech 56, 1271–1279 (2016). https://doi.org/10.1007/s11340-016-0164-z

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  • DOI: https://doi.org/10.1007/s11340-016-0164-z

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