Solitary Acoustic Pulses Propagating at the Tip of an Elastic Wedge
- Nonlinear acoustic waves are considered that have displacements localized at the tip of an elastic wedge. The evolution equation governing their propagation is discussed and compared with its analogues pertaining to nonlinear acoustic surface and bulk waves. Solitary wave solutions of the evolution equation have been determined numerically for the cases of two rectangular edges which may be viewedNonlinear acoustic waves are considered that have displacements localized at the tip of an elastic wedge. The evolution equation governing their propagation is discussed and compared with its analogues pertaining to nonlinear acoustic surface and bulk waves. Solitary wave solutions of the evolution equation have been determined numerically for the cases of two rectangular edges which may be viewed as generated by splitting a half-space, consisting of crystalline silicon, into two quarter-spaces. For these two geometries, the kernel in the nonlinear terms of the evolution equation has been calculated from the second-order and third-order elastic constants of silicon, and weak dispersion due to tip truncation has been considered. Solitary pulse shapes have been computed and collisions of solitary pulses have been simulated for various relative speeds of the two collision partners. Collision scenarios for the two wedge geometries were found to differ considerably. Special attention is paid to the peculiar interaction of two initially identical solitary pulses.…
Document Type: | Conference Proceeding |
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Conference Type: | Konferenzartikel |
Zitierlink: | https://opus.hs-offenburg.de/6619 | Bibliografische Angaben |
Title (English): | Solitary Acoustic Pulses Propagating at the Tip of an Elastic Wedge |
Conference: | The XLVIII International Summer School-Conference “Advanced Problems in Mechanics”, June 21-26, 2020, St. Petersburg, Russia |
Author: | Pavel Dmitrievich PupyrevStaff MemberORCiDGND, Alexey M. LomonosovStaff MemberORCiDGND, Andreas MayerStaff MemberGND |
Edition: | 1. |
Year of Publication: | 2022 |
Place of publication: | Cham |
Publisher: | Springer |
First Page: | 426 |
Last Page: | 437 |
Parent Title (English): | Advanced Problem in Mechanics II (Lecture Notes in Mechanical Engineering) |
Editor: | Dmitry A. Indeitsev, Anton M. Krivtsov |
ISBN: | 978-3-030-92143-9 (Softcover) |
ISBN: | 978-3-030-92144-6 (eBook) |
ISSN: | 2195-4356 |
ISSN: | 2195-4364 (E-ISSN) |
DOI: | https://doi.org/10.1007/978-3-030-92144-6_33 |
URL: | https://link.springer.com/book/10.1007/978-3-030-92144-6 |
Language: | English | Inhaltliche Informationen |
Institutes: | Fakultät Wirtschaft (W) |
Institutes: | Bibliografie |
Tag: | Nonlinear waves; Solitary waves; Wedge waves | Formale Angaben |
Relevance: | Konferenzbeitrag: h5-Index < 30 |
Open Access: | Closed |
Licence (German): | Urheberrechtlich geschützt |