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Nonlinear acceleration wave propagation in the DKM theory

Straughan, Brian; Tibullo, Vincenzo; Amendola, Ada

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Brian Straughan

Vincenzo Tibullo

Ada Amendola


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.


Straughan, B., Tibullo, V., & Amendola, A. (2020). Nonlinear acceleration wave propagation in the DKM theory. Mechanics Research Communications, 104, Article 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


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