Number: Mech 143/95
Author(s): RAVASOO, A.
Title: Non-linear longitudinal waves in physically inhomogeneous elastic medium. 13 p., 4 p. fig.
Language: English
ABSTRACT. The non-linear longitudinal wave propagation in elastic
medium with smoothly variable in space physical properties is
considered. The variation of the density and the elastic
constants of second and third order is proposed to be small and
it is approximated by polynomials up to the cubic term. The
solution to the one-dimensional problem is derived. The solution
describes the distortion of initially arbitrary smooth wave
profile and the variation of the velocity of the wave. Sine-wave
propagation is studied in more detail. Sine-wave characteristics
versus properties of the medium plots are presented for the case
of linear variation of the properties.