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Journal of Elasticity

Erschienen in:

20.08.2015

Wave Propagation in Anisotropic Viscoelasticity

verfasst von: Andrzej Hanyga

Erschienen in: Journal of Elasticity | Ausgabe 2/2016

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Abstract

The theory of complete Bernstein functions is extended to matrix-valued functions and applied to analyze Green’s function of an anisotropic multi-dimensional linear viscoelastic problem. Green’s function is given by the superposition of plane waves. Each plane wave is expressed in terms of matrix-valued attenuation and dispersion functions given in terms of a matrix-valued positive semi-definite Radon measure. More explicit formulae are obtained for 3D isotropic viscoelastic Green’s functions. As an example of an anisotropic medium the transversely isotropic medium with a constant symmetry axis is considered.

Vorheriger Artikel Submacroscopic Disarrangements Induce a Unique, Additive and Universal Decomposition of Continuum Fluxes

Nächster Artikel A Remark on Polyconvex Functions with Symmetry

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Titel: Wave Propagation in Anisotropic Viscoelasticity
verfasst von: Andrzej Hanyga
Publikationsdatum: 20.08.2015
Verlag: Springer Netherlands
Erschienen in: Journal of Elasticity / Ausgabe 2/2016
Print ISSN: 0374-3535
Elektronische ISSN: 1573-2681
DOI: https://doi.org/10.1007/s10659-015-9543-4

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