Axisymmetric longitudinal wave propagation in a finite pre-strained compound circular cylinder made from compressible materials

Abstract

The axisymmetric longitudinal wave propagation in a finite pre-strained compound (composite) cylinder is investigated within the scope of a piecewise homogeneous body model utilizing three-dimensional linearized theory wave propagation in an initially stressed body. The materials of the inner and Outer cylinder are assumed to be compressible. The elasticity relations for those are given through the harmonic potential. The algorithm tor constructing of the Computer programmes and obtaining numerical results is discussed. The numerical results regarding the influences of the initial strains in the inner and outer cylinders oil the wave dispersion are presented and analysed. These results are obtained for the case where the material of-the inner solid cylinder is stiffer than that of the outer hollow cylinder. In particular, it is established that the initial stretching of the cylinders causes the wave propagation velocity to increase.