Dynamics of Pre-Strained Bi-Material Elastic Systems

This book deals with dynamics of pre-stressed or pre-strained bi-material elastic systems consisting of stack of pre-stressed layers, stack of pre-stressed layers and pre-stressed half space (or half plane), stack of pre-stressed layers as well as absolute rigid foundation, pre-stressed compound solid and hollow cylinders and pre-stressed sandwich hollow cylinders. The problems considered in the book relate to the dynamics of a moving and oscillating moving load, forced vibration caused by linearly located or point located time-harmonic forces acting to the foregoing systems. Moreover, a considerable part of the book relate to the problems regarding the near surface, torsional and axisymmetric longitudinal waves propagation and dispersion in the noted above bi-material elastic systems.
The book carries out the investigations within the framework of the piecewise homogeneous body model with the use of the Three-Dimensional Linearized Theory of Elastic Waves in Initially Stressed Bodies.

Inhalt

1 Introduction.- 2 Dynamics of a moving and oscillating moving load acting on a pre-strained bi-material layered systems.- 3 Forced vibration of pre-stressed layered bodies.- 4 Wave propagation in pre-strained layered systems.- 5 Torsional wave dispersion in pre-stressed compound cylinders.- 6 Axisymmetric longitudinal and flexural wave propagation in pre-strained bi-material compound circular cylinders.- 7 Supplement 1: Some stability loss and wave propagation problems regarding the double-walled carbon nanotube (DWCNT).- 8 Supplement 2: On one application of the approach developed in Chapter 3 on the dynamics of pre-strained hydro-elastic systems.- 9 Supplement 3: Some problems on the sandwich plate-strip with piezoelectric face and elastic core layers containing interface cracks.- 10 Supplement 4: Forced vibration of the initially stressed rectangular plates with holes and inclusions.