Numerical Study of Dynamic Properties of Fractional Viscoplasticity Model

Numerical Study of Dynamic Properties of Fractional Viscoplasticity Model

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-fractio...

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Main Authors: Michał Szymczyk, Marcin Nowak, Wojciech Sumelka
Format: Article
Language:English
Published: MDPI AG 2018-07-01
Series:Symmetry
Subjects:
fractional viscoplasticity
rate dependence
plastic anisotropy
non-normality
directional viscosity
explicit/implicit non-locality.
Online Access:http://www.mdpi.com/2073-8994/10/7/282
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spelling doaj-a9664ea42d134c8a9d3724a1548481ba2020-11-24T23:28:06ZengMDPI AGSymmetry2073-89942018-07-0110728210.3390/sym10070282sym10070282Numerical Study of Dynamic Properties of Fractional Viscoplasticity ModelMichał Szymczyk0Marcin Nowak1Wojciech Sumelka2Institute of Structural Engineering, Poznań University of Technology, Piotrowo 5 street, 60-965 Poznań, PolandInstitute of Fundamental Technological Research, Polish Academy of Sciences, Pawińskiego 5B street, 02-106 Warsaw, PolandInstitute of Structural Engineering, Poznań University of Technology, Piotrowo 5 street, 60-965 Poznań, PolandThe 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.http://www.mdpi.com/2073-8994/10/7/282fractional viscoplasticityrate dependenceplastic anisotropynon-normalitydirectional viscosityexplicit/implicit non-locality.
collection DOAJ
language English
format Article
sources DOAJ
author Michał Szymczyk
Marcin Nowak
Wojciech Sumelka
spellingShingle Michał Szymczyk
Marcin Nowak
Wojciech Sumelka
Numerical Study of Dynamic Properties of Fractional Viscoplasticity Model
Symmetry
fractional viscoplasticity
rate dependence
plastic anisotropy
non-normality
directional viscosity
explicit/implicit non-locality.
author_facet Michał Szymczyk
Marcin Nowak
Wojciech Sumelka
author_sort Michał Szymczyk
title Numerical Study of Dynamic Properties of Fractional Viscoplasticity Model
title_short Numerical Study of Dynamic Properties of Fractional Viscoplasticity Model
title_full Numerical Study of Dynamic Properties of Fractional Viscoplasticity Model
title_fullStr Numerical Study of Dynamic Properties of Fractional Viscoplasticity Model
title_full_unstemmed Numerical Study of Dynamic Properties of Fractional Viscoplasticity Model
title_sort numerical study of dynamic properties of fractional viscoplasticity model
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2018-07-01
description 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.
topic fractional viscoplasticity
rate dependence
plastic anisotropy
non-normality
directional viscosity
explicit/implicit non-locality.
url http://www.mdpi.com/2073-8994/10/7/282
work_keys_str_mv AT michałszymczyk numericalstudyofdynamicpropertiesoffractionalviscoplasticitymodel
AT marcinnowak numericalstudyofdynamicpropertiesoffractionalviscoplasticitymodel
AT wojciechsumelka numericalstudyofdynamicpropertiesoffractionalviscoplasticitymodel
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