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Existence of Surface Waves and Band Gaps in Periodic Heterogeneous Half-spaces

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.

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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.

Item Type:Article
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URLURL TypeDescription DOIArticle
Bhattacharya, K.0000-0003-2908-5469
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.
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-06-1-0730
Texas Center for Superconductivity (TcSUH)UNSPECIFIED
Subject Keywords:Surface waves; Periodic half-space; Band gaps
Issue or Number:1
Classification Code:Mathematics Subject Classification (2000): 74J15; 74J05; 35C07
Record Number:CaltechAUTHORS:20120104-100657316
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:28642
Deposited By: Tony Diaz
Deposited On:06 Jan 2012 17:08
Last Modified:03 Oct 2019 03:34

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