Straughan, Brian and Tibullo, Vincenzo and Amendola, Ada (2020) 'Nonlinear acceleration wave propagation in the DKM theory.', Mechanics research communications., 104 . p. 103482.
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.
| Item Type: | Article |
|---|---|
| Full text: | (AM) Accepted Manuscript Available under License - Creative Commons Attribution Non-commercial No Derivatives. Download PDF (138Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.1016/j.mechrescom.2020.103482 |
| Publisher 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/ |
| 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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