Nonlinear acceleration wave propagation in the DKM theory

Straughan, Brian; Tibullo, Vincenzo; Amendola, Ada

doi:10.1016/j.mechrescom.2020.103482

Nonlinear acceleration wave propagation in the DKM theory

Straughan, Brian; Tibullo, Vincenzo; Amendola, Ada

Authors

Brian Straughan

Vincenzo Tibullo

Ada Amendola

Abstract

We study the evolutionary development of an acceleration wave propagating in a saturated porous material according to a Biot theory proposed by Donskoy, Khashanah and McKee. The theory is fully nonlinear, includes dissipation, and the analysis presented is exact. We derive sufficient conditions to show that two distinct waves propagate, a fast wave and a slower wave. A solution for the wave amplitude is presented for a wave moving into an equilibrium region.

Citation

Straughan, B., Tibullo, V., & Amendola, A. (2020). Nonlinear acceleration wave propagation in the DKM theory. Mechanics Research Communications, 104, Article 103482. https://doi.org/10.1016/j.mechrescom.2020.103482

Journal Article Type	Article
Acceptance Date	Jan 21, 2020
Online Publication Date	Jan 30, 2020
Publication Date	Mar 31, 2020
Deposit Date	Feb 27, 2020
Publicly Available Date	Jan 30, 2021
Journal	Mechanics Research Communications
Print ISSN	0093-6413
Publisher	Elsevier
Peer Reviewed	Peer Reviewed
Volume	104
Article Number	103482
DOI	https://doi.org/10.1016/j.mechrescom.2020.103482

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Publisher Licence URL
http://creativecommons.org/licenses/by-nc-nd/4.0/

Copyright Statement
© 2020 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/