Existence of surface waves and band gaps in periodic heterogeneous half-spaces

L. X. Hu, L. P. Liu, K. Bhattacharya

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

We find a sufficient condition for the existence of surface (Rayleigh) waves based on the Rayleigh-Ritz variational method. When specialized to a homogeneous half-space, the sufficient condition recovers the known criterion for the existence of subsonic surface waves. A simple existence criterion in terms of material properties is obtained for periodic half-spaces of general anisotropic materials. Further, we numerically compute the dispersion relation of the surface waves for a half-space of periodic laminates of two materials and demonstrate the existence of surface wave band gaps.

Original languageEnglish (US)
Pages (from-to)65-79
Number of pages15
JournalJournal of Elasticity
Volume107
Issue number1
DOIs
StatePublished - Mar 1 2012
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

Keywords

  • Band gaps
  • Periodic half-space
  • Surface waves

Fingerprint Dive into the research topics of 'Existence of surface waves and band gaps in periodic heterogeneous half-spaces'. Together they form a unique fingerprint.

  • Cite this