Abstract
In this paper, based on a representative volume element (RVE) and Slattery's averaging theorem, parameters of Biot's poroelastic equations for homogenous isotropic porous materials are obtained. According to Slattery's averaging theorem, the coupling terms, which describe the inertial effects and the viscous effects, are represented by an integral of the solid-fluid interaction force. This relation provides a new approach to obtain the parameters required in Biot's equations through a direct numerical simulation of the RVE. An example of a 2D RVE is given and simulations of sound propagation in an impedance tube with a foam are conducted using Biot's equations. It is shown that the numerical coupling mass obtained from this new approach behaves qualitatively the same as an associated phenomenological model.
Original language | English |
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Title of host publication | Poromechanics V - Proceedings of the 5th Biot Conference on Poromechanics |
Pages | 2123-2130 |
Number of pages | 8 |
DOIs | |
Publication status | Published - 2013 |
Event | 5th Biot Conference on Poromechanics - Vienna, Austria Duration: 10 Jul 2013 → 12 Jul 2013 Conference number: 5 http://biot2013.conf.tuwien.ac.at/ |
Conference
Conference | 5th Biot Conference on Poromechanics |
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Abbreviated title | BIOT 2013 |
Country/Territory | Austria |
City | Vienna |
Period | 10/07/13 → 12/07/13 |
Internet address |