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Micropolar plasticity. Part II: a v.Mises version of micropolar plasticity in terms of curvature tensors related by mixed transformations

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Abstract

In Part I, we presented a general micropolar plasticity theory which rests on a class of micropolar curvature tensors related to each other by mixed transformations. In this paper, we derive, in the context of the theory of Part I, a micropolar counterpart of v.Mises conventional plasticity with kinematic and isotropic hardening. The predictive capabilities of the resulting model are illustrated for the case of tension loading of plates with a circular hole.

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Authors and Affiliations

  1. Department of Continuum Mechanics, TU-Darmstadt, Franziska-Braun-Str. 7, 64287, Darmstadt, Germany

    Daniel Johannsen & Charalampos Tsakmakis

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  1. Daniel Johannsen
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  2. Charalampos Tsakmakis
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Correspondence to Daniel Johannsen.

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Johannsen, D., Tsakmakis, C. Micropolar plasticity. Part II: a v.Mises version of micropolar plasticity in terms of curvature tensors related by mixed transformations. Acta Mech 230, 1811–1823 (2019). https://doi.org/10.1007/s00707-018-2348-3

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  • DOI: https://doi.org/10.1007/s00707-018-2348-3

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