Transient Wave Propagation in Functionally Graded Viscoelastic Structures

Transient wave processes in viscoelastic structures built from functionally graded material (FGM) still remain almost unexplored. In this article, the problem of propagation nonstationary longitudinal waves an infinite layer a FGM with plane–parallel boundaries is considered. The physical and mechanical parameters depend continuously on transverse coordinate, while process propagates along same coordinate. properties are taken into account employing linear integral Boltzmann–Volterra relations. replaced by piecewise-homogeneous consisting large number sub-layers (a package homogeneous layers), thus approximating continuous inhomogeneity FGM. A solution non-stationary dynamic for constructed and, using specific example, convergence results increase shown. Furthermore, cross section infinitely long hollow cylinder, whose change radius, also cylinder composed one, coaxial layers, which constructed. For both FGM, calculating characteristic various initial data presented. influence viscosity demonstrated.