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

This article is intended to present an overview of various mechanical analyses of rectangular
nanobeams and single-, double-, and multi-walled (SW-, DW-, and MW-) carbon nanotubes …

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 …

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 …

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

This study presents the analytical and finite element formulation of a geometrically nonlinear
and fractional-order nonlocal model of an Euler–Bernoulli beam. The finite nonlocal strains …

Non-local viscoelasticity is a subject of great interest in the context of non-local theories. In a
recent study, the authors have proposed a non-local fractional beam model where non-local …

This paper aims to present the mixed finite element method for the static analysis of
nanobeams. The size-dependent effect of nanostructures is taken into consideration by …

A mechanically-based nonlocal Timoshenko beam model, recently proposed by the authors,
hinges on the assumption that nonlocal effects can be modeled as elastic long-range …

In this paper, a linear size-dependent Timoshenko beam model based on the consistent
couple stress theory is developed to capture the size effects. The extended Hamilton's …