Stress waves in a microperiodic layered elastic solid revisited

• Main Authors: Józef Ignaczak, Elżbieta Mrówka-Matejewska
• Format: Article
• Language: English
• Published: Hindawi Limited 2001-01-01
• Series: International Journal of Mathematics and Mathematical Sciences
• Online Access: http://dx.doi.org/10.1155/S0161171201007748

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.