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 wa...
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| Veröffentlicht in: | Физика низких температур |
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| Datum: | 2018 |
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| Sprache: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2018
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| Zitieren: | Nonlinear effects of micro-cracks on acoustic surface and wedge waves / M. Rjelka, P.D. Pupyrev, B. Koehler, A.P. Mayer // Физика низких температур. — 2018. — Т. 44, № 7. — С. 946-953. — Бібліогр.: 31 назв. — англ. |
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Rjelka, M. Pupyrev, P.D. Koehler, B. Mayer, A.P. 2021-02-04T07:09:43Z 2021-02-04T07:09:43Z 2018 Nonlinear effects of micro-cracks on acoustic surface and wedge waves / M. Rjelka, P.D. Pupyrev, B. Koehler, A.P. Mayer // Физика низких температур. — 2018. — Т. 44, № 7. — С. 946-953. — Бібліогр.: 31 назв. — англ. 0132-6414 PACS: 43.35.+d, 46.40.Cd, 62.30.+d https://nasplib.isofts.kiev.ua/handle/123456789/176201 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 micro-mechanical 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 ma-trix material. The growth rate of the second harmonic of Rayleigh waves has also been determined for micro-crack distributions with random orientation, using a model expression for the strain energy in terms of strain in-variants known in a geophysical context. The authors dedicate this work to the memory of Arnold Markovich Kosevich with deep admiration of the valuable contributions he made to the fields of crystal defects and nonlinear waves, which this paper pertains to. One of us (A.P.M.) had the pleasure of cooperating with him on the latter subject. Financial support by Deutsche Forschungsgemeinschaft (Grant No. MA 1074/11) is gratefully acknowledged. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Распространение волн в неоднородных системах Nonlinear effects of micro-cracks on acoustic surface and wedge waves Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Nonlinear effects of micro-cracks on acoustic surface and wedge waves |
| spellingShingle |
Nonlinear effects of micro-cracks on acoustic surface and wedge waves Rjelka, M. Pupyrev, P.D. Koehler, B. Mayer, A.P. Распространение волн в неоднородных системах |
| title_short |
Nonlinear effects of micro-cracks on acoustic surface and wedge waves |
| title_full |
Nonlinear effects of micro-cracks on acoustic surface and wedge waves |
| title_fullStr |
Nonlinear effects of micro-cracks on acoustic surface and wedge waves |
| title_full_unstemmed |
Nonlinear effects of micro-cracks on acoustic surface and wedge waves |
| title_sort |
nonlinear effects of micro-cracks on acoustic surface and wedge waves |
| author |
Rjelka, M. Pupyrev, P.D. Koehler, B. Mayer, A.P. |
| author_facet |
Rjelka, M. Pupyrev, P.D. Koehler, B. Mayer, A.P. |
| topic |
Распространение волн в неоднородных системах |
| topic_facet |
Распространение волн в неоднородных системах |
| publishDate |
2018 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
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 micro-mechanical 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 ma-trix material. The growth rate of the second harmonic of Rayleigh waves has also been determined for micro-crack distributions with random orientation, using a model expression for the strain energy in terms of strain in-variants known in a geophysical context.
|
| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/176201 |
| citation_txt |
Nonlinear effects of micro-cracks on acoustic surface and wedge waves / M. Rjelka, P.D. Pupyrev, B. Koehler, A.P. Mayer // Физика низких температур. — 2018. — Т. 44, № 7. — С. 946-953. — Бібліогр.: 31 назв. — англ. |
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| first_indexed |
2025-12-07T16:03:21Z |
| last_indexed |
2025-12-07T16:03:21Z |
| _version_ |
1850866035587022848 |