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.
Skip Nav Destination
Article navigation
August 2014
Research-Article
Interfacial Waves With Surface Elasticity
Lixin Hu,
Lixin Hu
Department of Mechanical
Aerospace Engineering,
e-mail: lixin.phd@rutgers.edu
Aerospace Engineering,
Rutgers University
,Piscataway, NJ 08817
e-mail: lixin.phd@rutgers.edu
Search for other works by this author on:
Liping Liu
Liping Liu
Department of Mechanical Aerospace
Engineering and Department of Mathematics,
e-mail: liu.liping@rutgers.edu
Engineering and Department of Mathematics,
Rutgers University
,Piscataway, NJ 08817
e-mail: liu.liping@rutgers.edu
Search for other works by this author on:
Lixin Hu
Department of Mechanical
Aerospace Engineering,
e-mail: lixin.phd@rutgers.edu
Aerospace Engineering,
Rutgers University
,Piscataway, NJ 08817
e-mail: lixin.phd@rutgers.edu
Liping Liu
Department of Mechanical Aerospace
Engineering and Department of Mathematics,
e-mail: liu.liping@rutgers.edu
Engineering and Department of Mathematics,
Rutgers University
,Piscataway, NJ 08817
e-mail: liu.liping@rutgers.edu
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.
J. Appl. Mech. Aug 2014, 81(8): 081007 (6 pages)
Published Online: May 15, 2014
Article history
Received:
March 6, 2014
Revision Received:
April 24, 2014
Accepted:
May 2, 2014
Citation
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
Download citation file:
Get Email Alerts
Cited By
Enhancement of Synchronization in Nonlinear MEMS Oscillator Based on Electrothermal Adjustment
J. Appl. Mech (April 2025)
Related Articles
On Dynamics of Bar of Rectangular Cross Section
J. Appl. Mech (July,2001)
A Novel Wave Propagation Method for Measuring Viscoelastic Properties of Prestrained Materials
J. Appl. Mech (August,2021)
Wave Dispersion and Basic Concepts of Peridynamics Compared to Classical Nonlocal Damage Models
J. Appl. Mech (November,2016)
Mechanical Properties of the Idealized Inverse-Opal Lattice
J. Appl. Mech (April,2018)
Related Proceedings Papers
Related Chapters
Introduction
Ultrasonic Methods for Measurement of Small Motion and Deformation of Biological Tissues for Assessment of Viscoelasticity
Response of Silts to Wave Loads: Experimental Study
Strength Testing of Marine Sediments: Laboratory and In-Situ Measurements
Realization of Elasticity and Damping in Vibration Isolators
Passive Vibration Isolation