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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
Document Type:Article (unreviewed)
Zitierlink: https://opus.hs-offenburg.de/3306
Bibliografische Angaben
Title (English):Nonlinear effects of micro-cracks on acoustic surface and wedge waves
Author:Marek Rjelka, Pavel Dmitrievich PupyrevStaff MemberORCiDGND, Bernd Köhler, Andreas MayerStaff MemberGND
Year of Publication:2018
Contributing Corporation:American Institute of Physics
First Page:744
Last Page:750
Parent Title (English):Low temperature physics : an English translation of the journal, Fizika Nizkikh Temperatur
Volume:44
Issue:7
ISSN:1063-777X
DOI:https://doi.org/10.1063/1.5041442
Language:English
Inhaltliche Informationen
Institutes:Fakultät Wirtschaft (W)
Institutes:Bibliografie
Formale Angaben
Open Access: Closed Access 
Licence (German):License LogoUrheberrechtlich geschützt
Comment:
Original article: Fiz. Nizk. Temp. 44, 946-953