Friction Compensation in the Upsetting of Cylindrical Test Specimens

Peter Christiansen, P. A. F. Martins, Niels Oluf Bay

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This manuscript presents a combined numerical andexperimental methodology for determining the stress-straincurve of metallic materials from the measurements of forceand 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 errorbetween the average surface pressure obtained from the experimental measurements of the force and displacement and thatobtained 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 inthe Appendix is provided for those readers interested in utilizing the associated numerical algorithm for determining the stress straincurves of metallic materials.
Original languageEnglish
JournalExperimental Mechanics
Issue number7
Pages (from-to)1271–1279
Publication statusPublished - 2016


  • Compression test
  • Friction compensation
  • Stress-strain curve


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