The question of interest for the presented study is mathematical modeling wave propagation in dissipative media. generalized fractional Zener model case dimension d (d=1,2,3) considered. This work devoted to analysis such model: existence and uniqueness strong weak solution energy decay result which guarantees dissipation. shown using a priori estimates solutions are also presented.

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...