In this paper, we study the existence and uniqueness of interfacial waves in account of surface elasticity at the interface. A sufficient condition for the existence and uniqueness of a subsonic interfacial wave between two elastic half spaces is obtained for general anisotropic materials. Further, we explicitly calculate the dispersion relations of interfacial waves for interfaces between two solids and solid and fluid, and parametrically study the effects of surface elasticity on the dispersion relations. We observe that the dispersion relations of interfacial waves are nonlinear at the presence of surface elasticity and depend on surface elastic properties. This nonlinear feature can be used for probing the bulk and surface properties by acoustic measurements and designing waves’ guides or filters.
Interfacial Waves With Surface Elasticity
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received March 6, 2014; final manuscript received April 24, 2014; accepted manuscript posted May 2, 2014; published online May 15, 2014. Assoc. Editor: John Lambros.
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Hu, L., and Liu, L. (May 15, 2014). "Interfacial Waves With Surface Elasticity." ASME. J. Appl. Mech. August 2014; 81(8): 081007. https://doi.org/10.1115/1.4027579
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