An original perspective on variable-order fractional operators for viscoelastic materials

Meccanica - This work deals with viscoelastic constitutive models involving variable-order fractional operators. There exist two main fractional models in the literature representing the...     

An unified formulation of strong non-local elasticity with fractional order calculus

Meccanica - The research of a formulation to model non-local interactions in the mechanical behavior of matter is currently an open problem. In this context, a strong non-local formulation based on...     

On the behavior of a three-dimensional fractional viscoelastic constitutive model

In this paper a three-dimensional isotropic fractional viscoelastic model is examined. It is shown that if different time scales for the volumetric and deviatoric components are assumed, the Poisson ratio is time varying function; in particular viscoelastic Poisson ratio may be obtained both increasing and decreasing with time. Moreover, it is shown that, from a theoretical point of view, one-dimensional fractional constitutive laws for normal stress and strain components are not correct to fit uniaxial experimental test, unless the time scale of deviatoric and volumetric are equal. Finally, the model is proved to satisfy correspondence principles also for the viscoelastic Poisson’s ratio and some issues about thermodynamic consistency of the model are addressed.     

A fractional nonlocal approach to nonlinear blood flow in small-lumen arterial vessels

Meccanica - The behavior of human blood flowing in arteries is still an open topic for its multi-phase nature and heterogeneity. In large arterial vessels the well-known Hagen–Poisueille law,...