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On finite deformation plasticity with directional softening

Part II. Two-component model

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Summary

It is well-known that twisting of cylindrical specimens has shown that axial stress or strain are induced in constrained or unconstrained torsion respectively. During monotonic loading in torsion, the axial stress or axial strain do not change monotonically, but tensile/compressive or lengthening/shortening phenomena are observed. In this study, a two-component model to account phenomenologically for coexisting different textures of rate-independent and rate-dependent finite deformation plasticity is proposed to predict axial shortening/lengthening and tensile/compressive phenomena in torsion. Such predictions are compared with available experimental data as well as recent simulations based on crystal plasticity models. In most cases, the results are in reasonable agreement with both experiments and simulations.

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Author notes

  1. M. F. Shi

    Present address: National Steel Corporation, 12261 Market str., 48150, Livonia, MI, USA

  2. J. C. Gerdeen

    Present address: University of Colorado, Campus Box 112, 80204, Denver, CO, USA

  3. E. C. Aifantis

    Present address: Center for Mechanics Materials and Instabilities, Michigan Technological University, 49931, Houghton, MI, USA

Authors and Affiliations

  1. Laboratory of Mechanics, Aristotle University of Thessaloniki, 54006, Thessaloniki, Greece

    E. C. Aifantis

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  1. M. F. Shi
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  2. J. C. Gerdeen
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  3. E. C. Aifantis
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Shi, M.F., Gerdeen, J.C. & Aifantis, E.C. On finite deformation plasticity with directional softening. Acta Mechanica 101, 69–80 (1993). https://doi.org/10.1007/BF01175598

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  • DOI: https://doi.org/10.1007/BF01175598

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