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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Bibliographic Details
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
Description
Summary: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.
ISSN:2073-8994

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