Dispersive Waves in Microstructured Solids

A. Berezovski, J. Engelbrecht, A. Salupere, K. Tamm, T. Peets, Mihhail Berezovski

Research output: Contribution to journalArticlepeer-review

Abstract

The wave motion in micromorphic microstructured solids is studied. The mathematical model is based on ideas of Mindlin and governing equations are derived by making use of the Euler–Lagrange formalism. The same result is obtained by means of the internal variables approach. Actually such a model describes internal fields in microstructured solids under external loading and the interaction of these fields results in various physical effects. The emphasis of the paper is on dispersion analysis and wave profiles generated by initial or boundary conditions in a one-dimensional case.

Original languageAmerican English
JournalInternational Journal of Solids and Structures
Volume50
DOIs
StatePublished - Jun 1 2013
Externally publishedYes

Keywords

  • Microstructured solids
  • Wave propagation
  • Dispersion

Disciplines

  • Mechanics of Materials
  • Numerical Analysis and Computation
  • Partial Differential Equations

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