International Journal of Mathematics and Mathematical Sciences
Volume 28 (2001), Issue 11, Pages 653-661
Stress waves in a microperiodic layered elastic solid revisited
Center of Mechanics, Institute of Fundamental Technological Research, Polish Academy of Sciences, Świ etokrzyska 21, Warsaw 00-049, Poland
Received 10 June 2001
Copyright © 2001 Józef Ignaczak and Elżbieta Mrówka-Matejewska. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
A one-dimensional pure stress initial boundary value problem of
linear elastodynamics for a microperiodic layered semi-space in
which a microstructural length is taken into account is
revisited. Also, the plane stress harmonic waves propagating in a
microperiodic layered infinite elastic space are discussed. It is
shown that (i) for a particular system of the length and time
units the transient stress waves in the microperiodic layered
semi-space are independent of the microstructural length, and
(ii) there are two dispersive plane stress harmonic waves
propagating in a microperiodic layered infinite elastic space.
The graphs illustrating the transient stress waves in the
semi-space and the dispersion of harmonic waves in the infinite
space are included.