Plane waves in anisotropic viscoelastic media
Andrzej Hanyga
TL;DR
This paper explores two concepts of plane waves in anisotropic viscoelastic media, utilizing Bernstein functions to analyze frequency and time domain behaviors, and examines energy flux and attenuation relationships under broad conditions.
Contribution
It introduces a novel approach using Bernstein functions for analyzing plane waves in anisotropic viscoelastic media and broadens understanding of energy flux and attenuation relations.
Findings
Enhanced analysis of frequency-domain asymptotics
Deeper understanding of wavefront regularity
Generalized relation between energy flux and attenuation
Abstract
Two concepts of plane waves in anisotropic viscoelastic media are studied. One of these concepts allows for the use of methods based on the theory of complete Bernstein functions. This allows for a deeper study of frequency-domain asymptotics of the attenuation function and time-domain regularity at the wavefronts. A relation between the direction of the energy flux density and the attenuation vector is examined under much more general assumptions.
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Taxonomy
TopicsComputational Fluid Dynamics and Aerodynamics · Elasticity and Material Modeling · Differential Equations and Numerical Methods