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Nonlinear effects of micro-cracks on acoustic surface and wedge waves

  • Micro-cracks give rise to non-analytic behavior of the stress-strain relation. For the case of a homogeneous spatial distribution of aligned flat micro-cracks, the influence of this property of the stress-strain relation on harmonic generation is analyzed for Rayleigh waves and for acoustic wedge waves with the help of a simple micromechanical model adopted from the literature. For theMicro-cracks give rise to non-analytic behavior of the stress-strain relation. For the case of a homogeneous spatial distribution of aligned flat micro-cracks, the influence of this property of the stress-strain relation on harmonic generation is analyzed for Rayleigh waves and for acoustic wedge waves with the help of a simple micromechanical model adopted from the literature. For the efficiencies of harmonic generation of these guided waves, explicit expressions are derived in terms of the corresponding linear wave fields. The initial growth rates of the second harmonic, i.e., the acoustic nonlinearity parameter, has been evaluated numerically for steel as matrix material. The growth rate of the second harmonic of Rayleigh waves has also been determined for microcrack distributions with random orientation, using a model expression for the strain energy in terms of strain invariants known in a geophysical context.show moreshow less

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Metadaten
Author:Marek Rjelka, Pavel Dmitrievich Pupyrev, Bernd Köhler, Andreas Mayer
Contributing Corporation:American Institute of Physics
Year of Publication:2018
Language:English
Parent Title (English):Low temperature physics : an English translation of the journal, Fizika Nizkikh Temperatur
Volume:44
Issue:7
ISSN:1063-777X
First Page:744
Last Page:750
Document Type:Article (unreviewed)
Institutes:Hochschule Offenburg / Bibliografie
Acces Right:Zugriffsbeschränkt
Release Date:2019/01/22
Licence (German):License LogoEs gilt das UrhG
Note:
Original article: Fiz. Nizk. Temp. 44, 946-953
DOI:https://doi.org/10.1063/1.5041442