Repository: Freie Universität Berlin, Math Department

Linear Waves at Viscoelastic Interfaces Between Viscoelastic Media

Zendehroud, Sina and Netz, Roland R. and Kappler, Julian (2021) Linear Waves at Viscoelastic Interfaces Between Viscoelastic Media. Physical Review Fluids . pp. 1-19. (Submitted)

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Abstract

We derive the general dispersion relation for interfacial waves along a planar viscoelastic boundary that separates two viscoelastic bulk media, including the e�ect of gravity. Our uni�ed theory contains Rayleigh waves, capillary-gravity- exural waves, Lucassen waves, bending waves in elastic plates, and the standard dispersion-free sound waves, as limiting cases. To illustrate our results, we consider waves at a viscoelastic interface immersed in water, and also at an air-water interface. We furthermore investigate pressure waves at a viscoelastic interface separating two identical viscoelastic bulk media, for which we consider both Kelvin-Voigt and Maxwell materials, as applicable to polymer gels and solutions. For all cases, we study how material properties determine the crossovers, scaling, and existence regimes, of the various interfacial waves. Since we include viscoelastic e�ects for all media involved, our theory allows to model waveguiding phenomena in biology, such as pressure pulses in axon membranes, which are possibly relevant for acoustic nerve pulse propagation phenomena.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:2570
Deposited By: Monika Drueck
Deposited On:07 May 2021 13:34
Last Modified:07 May 2021 13:34

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