Thermal effects on nonlinear acceleration waves in the Biot theory of porous media

Straughan, Brian; Tibullo, Vincenzo

Abstract

We generalize a theory of Biot for a porous solid based on nonlinear elasticity theory to incorporate temperature effects. Acceleration waves are studied in detail in the fully nonlinear theory. The wavespeeds are found explicitly and the amplitudes are then determined. The possibility of shock formation is discussed.

Citation

Straughan, B., & Tibullo, V. (2018). Thermal effects on nonlinear acceleration waves in the Biot theory of porous media. Mechanics Research Communications, 94, 70-73. https://doi.org/10.1016/j.mechrescom.2018.08.001

• Journal Article Type: Article
• Acceptance Date: Aug 1, 2018
• Online Publication Date: Aug 11, 2018
• Publication Date: Dec 1, 2018
• Deposit Date: Aug 15, 2018
• Publicly Available Date: Aug 11, 2019
• Journal: Mechanics Research Communications
• Print ISSN: 0093-6413
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 94
• Pages: 70-73
• DOI: https://doi.org/10.1016/j.mechrescom.2018.08.001
• Public URL: https://durham-repository.worktribe.com/output/1323429