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

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

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


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
Issue number1
StatePublished - Mar 2012
Externally publishedYes

All Science Journal Classification (ASJC) codes

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


  • Band gaps
  • Periodic half-space
  • Surface waves


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