Existence of Surface Waves and Band Gaps in Periodic Heterogeneous Half-spaces
Source abstract
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.
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Research context
OpenAlex topics: Numerical methods in engineering · Composite Material Mechanics · Advanced Mathematical Modeling in Engineering
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