Wave propagation in elastic lattices subjected to a local harmonic loading. II. Two-dimensional problems

G. Osharovich, M. Ayzenberg-Stepanenko, O. Tsareva

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

Steady-state and transient processes of elasticwave propagation in infinite 2D massless and materialbond lattices subjected to a local monochromatic excitation are studied. Anti-plane dynamics of rectangular and triangular lattices is considered. Mathematical models of lattices, dispersion properties of free waves, and results of transient problems solution are presented. Resonant excitations of lattices are explored. Asymptotic solutions are compared with the results of computer simulation. Special attention is given to the wave-beaming pattern in the case of the excitation frequency located within a pass-band.

Original languageEnglish
Pages (from-to)599-616
Number of pages18
JournalContinuum Mechanics and Thermodynamics
Volume22
Issue number6
DOIs
StatePublished - 1 Sep 2010

Keywords

  • Computer simulation
  • Dispersion pattern
  • Lattice dynamics
  • Resonance
  • Wave beaming

ASJC Scopus subject areas

  • Materials Science (all)
  • Mechanics of Materials
  • Physics and Astronomy (all)

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