Numerical Study of Dynamic Properties of Fractional Viscoplasticity Model

Symmetry

Marcin Nowak¹  Michał Szymczyk²  Wojciech Sumelka² 

[1] Institute of Fundamental Technological Research, Polish Academy of Sciences, Pawińskiego 5B street, 02-106 Warsaw, Poland;Institute of Structural Engineering, Poznań University of Technology, Piotrowo 5 street, 60-965 Poznań, Poland;

关键词: fractional viscoplasticity;    rate dependence;    plastic anisotropy;    non-normality;    directional viscosity;    explicit/implicit non-locality.;   

DOI  :  10.3390/sym10070282

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown