*Article* **Numerical Study of Dynamic Properties of Fractional Viscoplasticity Model**

**Michał Szymczyk 1, Marcin Nowak 2 and Wojciech Sumelka 1,\***


Received: 17 June 2018; Accepted: 10 July 2018; Published: 13 July 2018

**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.

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