Hu, L. X. and Liu, L. P. and Bhattacharya, K. (2012) Existence of Surface Waves and Band Gaps in Periodic Heterogeneous Half-spaces. Journal of Elasticity, 107 (1). pp. 65-79. ISSN 0374-3535. http://resolver.caltech.edu/CaltechAUTHORS:20120104-100657316
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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.
|Additional Information:||© 2011 Springer Science+Business Media B.V. Received: 22 October 2010; Published online: 6 April 2011. The authors gratefully acknowledge the financial support of the US Office of Naval Research through the MURI grant N00014-06-1-0730 and TcSUH. The author would also like to thank the anonymous reviewer for pointing out an interesting application of Theorem 6, i.e., Corollary 7.|
|Subject Keywords:||Surface waves; Periodic half-space; Band gaps|
|Classification Code:||Mathematics Subject Classification (2000): 74J15; 74J05; 35C07|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||06 Jan 2012 17:08|
|Last Modified:||23 Aug 2016 10:08|
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