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

We investigate the potential of fractional order operators to develop accurate and efficient
models for acoustic black hole (ABH) terminations in ducts. While previous research has …

In the present paper, the nonlocal-in-time damping models, called “damping-with-memory”
models, are reviewed. Since such models do not involve the distribution along the …

The bending behaviour of systems of straight elastic beams at different scales is investigated
by the well-posed stress-driven nonlocal continuum mechanics. An effective computational …

This study presents a fractional-order continuum mechanics approach that allows combining
selected characteristics of nonlocal elasticity, typical of classical integral and gradient …

Size-dependent dynamic responses of small-size frames are modelled by stress-driven
nonlocal elasticity and assessed by a consistent finite-element methodology. Starting from …

We present the analytical formulation and the finite element solution of a fractional-order
nonlocal continuum model of a Euler-Bernoulli beam. Employing consistent definitions for …

This study presents the formulation of the variable-order continuum mechanics theory and its
application to the analysis of nonlocal heterogeneous solids. The variable-order continuum …

Stochastic flexural vibrations of small-scale Bernoulli–Euler beams with external damping
are investigated by stress-driven nonlocal mechanics. Damping effects are simulated …

This paper addresses nonlinear viscoelastic behaviour of fractional systems with variable
time-dependent fractional order. In this case, the main challenge is that the Boltzmann linear …