Journal
JOURNAL OF ELASTICITY
Volume 107, Issue 1, Pages 65-79Publisher
SPRINGER
DOI: 10.1007/s10659-011-9339-0
Keywords
Surface waves; Periodic half-space; Band gaps
Funding
- US Office of Naval Research [N00014-06-1-0730]
- TcSUH
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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.
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