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Nonlinear acceleration wave propagation in the DKM theory.

Straughan, Brian and Tibullo, Vincenzo and Amendola, Ada (2020) 'Nonlinear acceleration wave propagation in the DKM theory.', Mechanics research communications., 104 . p. 103482.


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.

Item Type:Article
Full text:(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
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Publisher statement:© 2020 This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Date accepted:21 January 2020
Date deposited:28 February 2020
Date of first online publication:30 January 2020
Date first made open access:30 January 2021

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