Boundary conditions for the weak formulation of the mixed (u,p) poroelasticity problem

Journal of the Acoustical Society of America

Volumn 106, Issue 5, 1999, Pages 2383-2390

  Debergue, Patricia ^a   Panneton, Raymond ^a   Atalla, Noureddine ^a  

^a UNIVERSITÉ DE SHERBROOKE   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; MATHEMATICAL ANALYSIS; POROSITY; PRIORITY JOURNAL; VISCOELASTICITY;

EID: 0032738797     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.428075     Document Type: Article

References (15)

1. R. Panneton, N. Atalla, and J.-F. Allard, "A 3-D finite element model for sound transmission through a double-plate system with isotropic elastic porous materials," J. Acoust. Soc. Am. 96, 3339 (1994).
2. R. Panneton and N. Atalla, "Numerical prediction of sound transmission through multilayer systems with isotropic poroelastic materials," J. Acoust. Soc. Am. 100, 346-354 (1996).
3. R. Panneton and N. Atalla, "An efficient finite element scheme for solv-ing the three-dimensional poroelasticity problem in acoustics," J. Acoust. Soc. Am. 101, 3287-3298 (1997).
4. V. Easwaran, W. Lauriks, and J. P. Coyette, "Displacement-based finite element method for guided wave propagation problems: Application to poroelastic media," J. Acoust. Soc. Am. 100, 2989-3002 (1996).
5. Y. J. Kang and J. S. Bolton, "A finite element model for sound transmission through foam-lined double-panel structures," J. Acoust. Soc. Am. 99, 2755-2765 (1996).
6. M. A. Biot, "The theory of propagation of elastic waves in a fluid-saturated porous solid," J. Acoust. Soc. Am. 28, 168-191 (1956).
7. G. Bonnet, "Basic singular solutions for a poroelastic medium in the dynamic range," J. Acoust. Soc. Am. 82, 1758-1762 (1987).
8. S. Gorog, R. Panneton, and N. Atalla, "Mixed displacement-pressure formulation for acoustic anisotropic open porous media," J. Appl. Phys. 82, 4192-4196 (1997).
9. N. Atalla, R. Panneton, and P. Debergue, "A mixed displacement pressure formulation for poroelastic materials," J. Acoust. Soc. Am. 104, 1444-1452 (1998).
10. P. Debergue, "Développement d'une formulation mixte en déplacement-pression pour les matériaux poroélastiques," Master thesis, Univ. de Sherbrooke, Québec, Canada, 1998.
11. H. Deresiewicz and R. Skalak, "On uniqueness in dynamic poroelasticity," Bull. Seismol. Soc. Am. 53, 783-788 (1963).
12. O. M. Lovera, "Boundary conditions for a fluid-saturated porous solid," Geophysics 52, 174-178 (1987).
13. J.-F. Allard, Propagation of Sound in Porous Media: Modeling Sound Absorbing Materials (Elsevier, New York, 1993).
14. R. Panneton, "Calculation of the sound radiation impedance of a poroelastic material," GAUS Report, Mech. Eng. Dept., Univ. of Sherbrooke (1998).
15. B. Brouard, D. Lafarge, and J.-F. Allard, "Measurement and prediction of the surface impedance of a resonant sound absorbing structure," Acta Acust. (China) 2, 301-306 (1994).