Waves in Microstructured Solids: A Unified Viewpoint of Modelling

Arkadi Berezovski, Juri Engelbrecht, Mihhail Berezovski

Research output: Contribution to journalArticlepeer-review

Abstract

The basic ideas for describing the dispersive wave motion in microstructured solids are discussed in the one-dimensional setting because then the differences between various microstructure models are clearly visible. An overview of models demonstrates a variety of approaches, but the consistent structure of the theory is best considered from the unified viewpoint of internal variables. It is shown that the unification of microstructure models can be achieved using the concept of dual internal variables.

Original languageAmerican English
JournalActa Mechanica
Volume220
DOIs
StatePublished - Mar 1 2011
Externally publishedYes

Keywords

  • Dispersion Curve
  • Internal Variable
  • Linear Momentum
  • Free Energy Function
  • Microstructure Model

Disciplines

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

Cite this