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

Due to the high-content of clay and kerogen, shale will always show viscoelastic mechanical
behaviors during the development of shale gas, which will lead to the increase of proppant …

Both classic rheological models and fractional derivative models have been widely adopted
to model the viscoelastic behaviors of materials. In this work, we present a detailed …

Probing the mechanism of ultrafast thermoelastic processes is becoming increasingly
important with the development of laser-assisted micro/nano machining. Although …

Laminated glass is a composite made of elastic glass layers sandwiching thin viscoelastic
polymeric interlayers. There are several types of polymers, traditionally modelled as linear …

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

A mathematical approach, alternative to the classical formulation of linear viscoelasticity,
defines the constitutive laws in terms of integro-differential equations involving fractional …

The problem of non-linear, steady state vibration of beams, harmonically excited by
harmonic forces is investigated in the paper. The viscoelastic material of the beams is …

In this paper, a pinning impulsive control scheme is adopted to investigate the
synchronization of fractional complex dynamical networks. An effective method has been …

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 …