Nonlinear acceleration wave propagation in the DKM theory

Straughan, Brian; Tibullo, Vincenzo; Amendola, Ada

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
• Public URL: https://durham-repository.worktribe.com/output/1275739