Fractional calculus is now a well-established tool in engineering science, with very
promising applications in materials modelling. Indeed, several studies have shown that …

Over the past couple of decades, as a new mathematical tool for addressing a number of
tough problems, fractional calculus has been gaining a continually increasing interest in …

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 …

We develop a thermodynamically consistent, fractional visco-elasto-plastic model coupled
with damage for anomalous materials. The model utilizes Scott-Blair rheological elements …

This paper presents a novel formulation of a hereditary cohesive zone model able to
effectively capture rate‐dependent crack propagation along a defined interface, over a wide …

The paper is devoted to the modeling of heat conduction in deformable media. The
constitutive functions are in the form of rate equations which generalize the Maxwell …

In this paper the authors introduce a nonlinear model of fractional-order hereditariness used
to capture experimental data obtained on human tendons of the knee. Creep and relaxation …

In this paper, the hereditariness of aging materials is modeled within the framework of
fractional calculus of variable order. A relevant application is made for the long-term …

In fractional viscoelasticity the stress–strain relation is a differential equation with non-
integer operators (derivative or integral). Such constitutive law is able to describe the …

In this study the non-linear hereditariness of knee tendons and ligaments is framed in the
context of stochastic mechanics. Without losing the possibility of generalization, this work …