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Symmetry 2018, 10(7), 282; https://doi.org/10.3390/sym10070282

Numerical Study of Dynamic Properties of Fractional Viscoplasticity Model

1
Institute of Structural Engineering, Poznań University of Technology, Piotrowo 5 street, 60-965 Poznań, Poland
2
Institute of Fundamental Technological Research, Polish Academy of Sciences, Pawińskiego 5B street, 02-106 Warsaw, Poland
*
Author to whom correspondence should be addressed.
Received: 17 June 2018 / Accepted: 10 July 2018 / Published: 13 July 2018
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Abstract

The fractional viscoplasticity (FV) concept combines the Perzyna type viscoplastic model and fractional calculus. This formulation includes: (i) rate-dependence; (ii) plastic anisotropy; (iii) non-normality; (iv) directional viscosity; (v) implicit/time non-locality; and (vi) explicit/stress-fractional non-locality. This paper presents a comprehensive analysis of the above mentioned FV properties, together with a detailed discussion on a general 3D numerical implementation for the explicit time integration scheme. View Full-Text
Keywords: fractional viscoplasticity; rate dependence; plastic anisotropy; non-normality; directional viscosity; explicit/implicit non-locality. fractional viscoplasticity; rate dependence; plastic anisotropy; non-normality; directional viscosity; explicit/implicit non-locality.
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Szymczyk, M.; Nowak, M.; Sumelka, W. Numerical Study of Dynamic Properties of Fractional Viscoplasticity Model. Symmetry 2018, 10, 282.

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