A consistent nonlocal viscoelastic beam model is proposed in this paper. Specifically, a Timoshenko bending problem, where size- and time-dependent effects cannot be neglected, investigated. In order to inspect scale phenomena, stress-driven formulation used, whereas simulate effects, fractional linear viscoelasticity considered. These two approaches are adopted develop new model. Analytical so...

Polymers are ultra-versatile materials that adapt to a myriad of applications, as they can be designed appropriately for specific needs. The realization new compounds, however, requires the appropriate experimental characterizations, also from mechanical point view, which is typically carried out by analyzing vibrations beams, but still have some unclear aspects, with respect well-known dynamic...

A fast multipole formulation for 2D linear viscoelastic problems is presented in this paper by incorporating the elastic–viscoelastic correspondence principle. Systems of multipole expansion equations are formed and solved analytically in Laplace transform domain. Three commonly used viscoelastic models are introduced to characterize the time-dependent behavior of the materials. Since the trans...

The Rayleigh wave propagation problem in the elastic halfspace — viscoelastic layer interface was analysed in the paper. The problem was formulated in the Fourier–Laplace space using the Biot viscoelastic solid model. The characteristic equation has taken the Rayleigh equation form with correction term describing viscoelastic layer properties influence on the wave velocity. The approach present...

All mechanical systems exhibit vibrational response when exposed to exter-nal disturbances. In many engineering applications vibrations are undesir-able and may even have harmful effects. Therefore, control of mechanicalvibration is an important topic and extensive research has been going on inthe field over the years.In active control of vibration, the ability to actuate th...

2. INTRODUCTION Piezoelectric effects are of increasing importance in the control and sensing of structural element deflections. Elastic piezoelectric theory has been extensively developed (Leibowitz & Vinson 1993). Hilton et al. (1997) have presented an extended bibliography and discussed past contributions as well as formulated an analytical nonlinear theory of anisotropic piezoelectric-therm...

This study presents a finite element (FE) micromechanical modelling approach for the simulation of linear and damage-coupled viscoelastic behaviour of asphalt mixture. Asphalt mixture is a composite material of graded aggregates bound with mastic (asphalt and fine aggregates). The microstructural model of asphalt mixture incorporates an equivalent lattice network structure whereby intergranular...