Propagation of waves in an elastic cylinder with voids

Abstract

A study of axial waves propagating in an infinitely long, homogeneous and isotropic elastic circular cylinder  containing a distribution of small pores (voids) is presented. Assuming the cylinder to be of uniform cross-section and its surface to be traction- free, the frequency equation is obtained and analysed in two limiting cases. It is found that if the cylinder has a small radius and the frequency is low the waves travel more slowly than in the absence of voids. When both the radius and the frequency are large the waves behave like surface waves in a halfspace with voids.

Keywords: Elastic waves, voids, cylinder, frequency.