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Stress waves in a microperiodic layered elastic solid revisited

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  • Józef Ignaczak
  • Elżbieta Mrówka-Matejewska

Abstract

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.

Suggested Citation

  • Józef Ignaczak & Elżbieta Mrówka-Matejewska, 2001. "Stress waves in a microperiodic layered elastic solid revisited," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 28, pages 1-9, January.
    • Handle: RePEc:hin:jijmms:342057
    DOI: 10.1155/S0161171201007748
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