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Open AccessFeature PaperArticle

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.
Symmetry 2018, 10(7), 282; https://doi.org/10.3390/sym10070282
Received: 17 June 2018 / Accepted: 10 July 2018 / Published: 13 July 2018
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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MDPI and ACS Style

Szymczyk, M.; Nowak, M.; Sumelka, W. Numerical Study of Dynamic Properties of Fractional Viscoplasticity Model. Symmetry 2018, 10, 282. https://doi.org/10.3390/sym10070282

AMA Style

Szymczyk M, Nowak M, Sumelka W. Numerical Study of Dynamic Properties of Fractional Viscoplasticity Model. Symmetry. 2018; 10(7):282. https://doi.org/10.3390/sym10070282

Chicago/Turabian Style

Szymczyk, Michał; Nowak, Marcin; Sumelka, Wojciech. 2018. "Numerical Study of Dynamic Properties of Fractional Viscoplasticity Model" Symmetry 10, no. 7: 282. https://doi.org/10.3390/sym10070282

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