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Application of fractional continuum mechanics to rate independent plasticity

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Abstract

In this paper, the application of fractional continuum mechanics to rate independent plasticity is presented. This new formulation is non-local due to the properties of the applied fractional differential operator during the definition of kinematics. In the description, a small fractional strains assumption is used together with additive decomposition of total fractional strains into elastic and plastic parts. Classical local rate independent plasticity is recovered as a special case.

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  1. Institute of Structural Engineering, Poznan University of Technology, Piotrowo 5 street, 60-969, Poznan, Poland

    Wojciech Sumelka

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  1. Wojciech Sumelka
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Sumelka, W. Application of fractional continuum mechanics to rate independent plasticity. Acta Mech 225, 3247–3264 (2014). https://doi.org/10.1007/s00707-014-1106-4

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  • DOI: https://doi.org/10.1007/s00707-014-1106-4

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