Nature of Wave Modes in a Coupled Viscoelastic Layer over Water
Publication: Journal of Engineering Mechanics
Volume 143, Issue 10
Abstract
A theoretical study of wave modes in a system of layered materials is presented. The system consists of a floating linear viscoelastic layer over inviscid water. The viscoelastic cover is assumed to obey the Voigt constitutive law. As in many other layered systems, multiple wave modes are discovered. Guided by the roots under pure elastic and pure viscous conditions, the nature of all roots in the dispersion relation is identified for the viscoelastic case. Wave modes include the evanescent, gravity, shear, pressure, interfacial, and Rayleigh-Lamb. All of these previously known waves in elastic solid or fluid over fluid systems are found in the present system of a viscoelastic material floating over water. An analytic criterion for the presence of mode swap in cases with low viscosity is obtained, and the origin of this mode swap phenomenon is discussed. In the vicinity of mode swap, both wave modes are important. Away from this region, the gravity wave mode dominates the free-surface motion.
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Acknowledgments
The authors thank the anonymous reviewers for their very helpful suggestions. This work is supported in part by the Office of Naval Research, Grant No. N00014-13-1-0294, Ministry of Education, Singapore, through AcRF Tier-2 Grant No. MOE2013-T2-1-054, with in-kind support from the Office of Naval Research Global Grant No. N62909-15-1-2069. This study was conducted when the first author was a postdoctoral fellow at Clarkson University.
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©2017 American Society of Civil Engineers.
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Received: Sep 6, 2016
Accepted: Apr 11, 2017
Published online: Jul 19, 2017
Published in print: Oct 1, 2017
Discussion open until: Dec 19, 2017
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