A continuum theory of fluid saturated porous media

Journal of Applied Mechanics, Transactions ASME

Volumn 38, Issue 1, 1971, Pages 1-7

  Bedford, A ^a   Ingram, J D ^b  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b RICE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84985538805     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.3408744     Document Type: Article

References (20)

1. Biot, M. A. General Theory of Three-Dimensional Consolidation. Journal of Applied Physics, Vol. 12, 1941 p. 155.
2. Biot, M. A. Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. Journal of the Acoustical Society of America, Vol. 28, 1950 p. 108.
3. Deresiewicz, H. The Effect of Boundaries on Wave Propagation in a Liquid-Filled Porous Solid. Bulletin of the Seismological Society of America, Vol. 50, 1900 p. 599.
4. Jones, J. P. Rayleigh Waves in A Porous, Elastic, Saturated Solid. Journal of the Acoustical Society of America, Vol. 33, 1961 p. 959.
5. Kosachevskii, L. Ia. On the Propagation of Elastic Waves in Layered Two-Phase Media. Journal of Applied Mathematics and Mechanics, Vol. 25, 1901 p. 1008.
6. Truesdell, C. Mechanical Basis of Diffusion. Journal of Chemical Physics, Vol. 37, 1962 p. 2330.
7. Truesdell, C, and Noll, W. The Nonlinear Field Theories of Mechanics, Encyclopedia of Physics, Vol. III/3, Springer, Berlin-Gottingen-Heidelberg, 1965.
8. Adkins, J. E. “Nonlinear Diffusion I. Diffusion and Flow of Mixtures of Fluids." Philosophical Transactions of the Royal Society, Series A, Vol. 255, 1903, p. 7.
9. Adkins, J. E. “Nonlinear Diffusion II. Constitutive Equations for Mixtures of Isotropic Fluids." Philosophical Transactions of the Royal Society, Series A, Vol. 255, 1903, p. 635.
10. Adkins, J. E. “Nonlinear Diffusion III. Diffusion Through Isotropic Higldy Elastic Solids." Philosophical Transactions of the Royal Society, Series A, Vol. 250, 1904, p. 301.
11. Adkins, J. E. Diffusion of Fluids Through Aeolotropic Highly Elastic Solids. Archive for Rational Mechanics and Analysis, Vol. 15, 1964 p. 222.
12. Green, A. E., and Adkins, J. E. “ A Contribution to the Theory of Nonlinear Diffusion". Archive for Rational Mechanics and Analysis, Vol. 15, 1904 p. 235.
13. Green, A. E., and Naghdi, P. M. “A Dynamical Theory of Interacting Continua." International Journal of Engineering Science, Vol. 3, 1905 231.
14. Eringen, A. C, and Ingram, J. D. “A Continuum Theory of Chemically Reacting Media-I." International Journal of Engineering Science, Vol. 3, 1965, p. 197.
15. Ingram, J. D., and Eringen, A. C. A Continuum Theory of Chemically Reacting Media-II. Constitutive Equations of Reacting Fluid Mixtures. International Journal of Engineering Science, Vol. 5, 1967 p. 289.
16. Bowen, R. M. Toward a Thermodynamics and Mechanics of Mixtures. Archive for Rational Mechanics and Analysis, Vol. 24, 1907 p. 370.
17. Müller, I. A Thermodynamic Theory of Mixtures of Fluids. Archive for Rational Mechanics and Analysis, Vol. 28, 1908 p. 1.
18. Müller, I. On the Entropy Inequality. Archive for Rational Mechanics and Analysis, Vol. 20, 1967 p. 118.
19. Coleman, B. I., and Mizel, V. J. Existence of Caloric Equations of State in Thermodynamics. Journal of Chemical Physics, Vol. 40, 1904 p. 1110.
20. Coleman, B. D., and Noll, W. “The Thermodynamics of Elastic Materials With Heat Conduction and Viscosity." Archive for Rational Mechanics and Analysis, Vol. 13, 1963, p. 107.