Abstract. In this paper we consider the transmission problem of a material composed of three components; one of them is a Kelvin–Voigt viscoelastic material, the second is an elastic material (no dissipation), and the third is an elastic material inserted with a frictional damping mechanism. The main result of this paper is that the rate of decay will depend on the position of each component. W...

In this paper, we consider an inverse problem for three dimensional viscoelastic fluid flow equations, which arises from the motion of Kelvin-Voigt fluids in bounded domains (a hyperbolic type problem). This aims to reconstruct velocity and kernel memory term simultaneously, measurement described as integral over determination condition. By using contraction mapping principle appropriate space,...

The behaviour of polymeric pipes in transient flows has been proved to be viscoelastic. Generalized Kelvin–Voigt (GKV) models perform very well when simulating the experimental pressure. However, literature, no general indications on evaluation model parameters are given. In present study, calibration GKV is carried out using a micro-genetic algorithm for tests taken from literature. results co...

Abstract The presented work concerns the kinematically excited transient vibrations of a cantilever beam with mass element fixed to its free end. Euler–Bernoulli theory and fractional Zener model material are assumed. A Caputo derivative is used formulate viscoelastic law. characteristic equation, modal frequencies, eigenfunction orthogonality conditions achieved for considered. equations motio...

PurposeConsidering the size-dependent influence ignored by classical continuum mechanics, a new non-classical Euler–Bernoulli beam model is proposed in this paper. The fractional viscoelastic nanobeam set up using Kelvin–Voigt and Hamilton’s principle. And studies total effects of nonlocal elasticity, modified couple stress, surface energy.MethodsThe represented integral-partial differential go...