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Literature Cited
A. N. Guz', Stability of Elastic Bodies with Finite Strains [in Russian], Naukova Dumka, Kiev (1973).
P. Zherman, Course in Continuum Mechanics. General Theory [in Russian], Vysshaya Shkola, Moscow (1983).
G. M. Zaslavskii and R. Z. Sagdeev, Introduction to Nonlinear Physics: From the Pendulum to Turbulence and Chaos [in Russian], Nauka, Moscow (1988).
R. I. Nigmatulin, Dynamics of Multiphase Media [in Russian], Nauka, Moscow (1988).
V. N. Nikolaevskii, K. S. Basniev, A. T. Gorbunov, and G. A. Zotov, Mechanics of Saturated Porous Media [in Russian], Nauka, Moscow (1970).
Ya. S. Podstrigach and Yu. Z. Povstenko, Introduction to the Mechanics of Surface Phenomena in Deformable Solids [in Russian], Naukova Dumka, Kiev (1975).
Kh. A. Rakhmatulin, “Principles of the gasdynamics of the interpenetrating motions of compressible media,” Prikl. Mat. Mekh.,20, No. 2, 184–195 (1956).
Ya. Ya. Rushchitskii, “Phenomenological description of interaction in the linear theory of mixtures elastic media,” Prikl. Mekh.,22, No. 5, 90–95 (1986).
R. J. Atkin and R. E. Crain, “Continuum theory of mixtures: basic theory and historical development,” Q. J. Appl. Mech. Appl. Math.,29, No. 2, 209–244 (1976).
A. Bedford and D. S. Drumheller, “A variational theory of immiscible mixtures,” Arch. Rat. Mech. Stosow.,68, No. 1, 37–51 (1978).
A. Bedford and D. S. Drumheller, “A variational theory of porous media,” Int. J. Solids Struct.,15, No. 12, 967–980 (1979).
A. Bedford and D. S. Drumheller, “Theories of immiscible and structured mixtures,” Int. J. Eng. Sci.,21, No. 8, 863–890 (1983).
M. A. Biot, “General theory of three-dimensional consolidation,” J. Appl. Phys.,12, No. 2, 155–164 (1964).
R. M. Bowen, “Theory of the mixtures,” in: Continuum Physics, Vol. III. Mixtures and EM Field Theories. Academic Press, New York (1976), pp. 1–123.
S. C. Cowin and M. A. Goodman, “A variational principle for granular materials,” ZAMM,56, No. 2, 281–286 (1976).
R. E. Craine, “Oscillations of a plate in a binary mixture of noncompressible Newtonian fluids,” Int. J. Eng. Sci.,9, No. 12, 1177–1192 (1971).
S. K. Garg, “Wave propagation effects in fluid-saturated porous solid,” J. Geophys. Res.,76, 7947–7962 (1971).
S. K. Garg, A. N. Nayfeh, and A. J. Good, “Compressional waves in fluid-saturated elastic porous media, J. Appl. Phys.,45, No. 5, 1968–1974 (1974).
S. K. Garg and J. W. Pritchett, “Dynamics of gas-fluidized beds,” J. Appl. Phys.,46, No. 10, 4493–4500 (1975).
M. A. Goodman and S. C. Covin, “A continuum theory for granular materials,” Arch. Rat. Mech. Anal.,44, No. 4, 249–266 (1972).
D. E. Kenyon, “Consolidation in compressible mixtures,” J. Appl. Mech.,45, No. 3, 727–732 (1978).
D. E. Kenyon, “The theory of an incompressible solid-fluid mixture,” Arch. Rat. Mech. Anal.,62, No. 2, 131–147 (1976).
L. W. Morland, “A simple constitutive theory for a fluid-saturated porous medium,” J. Geophys. Res.,77, 890–900 (1972).
S. L. Passman, “Mixtures of granular materials,” Int. J. Eng. Sci.,15, No. 1, 117–129 (1977).
W. C. Thacker and J. M. Lavelle, “Stability of suspended sediments,” Phys. Fluids,21, No. 2, 291–292 (1978).
C. Truesdell, “Sulle basi della termomeccanica,” Rend. Accad. Lincei Series VIII,22, No. 2, 33–38, 158–166 (1957).
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Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 27, No. 6, pp. 44–53, June, 1991.
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Rushchitskii, Y.Y., Abduganiev, A.A. Generalization of the Bedford-Drumheller model for a fluid-saturated porous medium. Soviet Applied Mechanics 27, 570–576 (1991). https://doi.org/10.1007/BF00896853
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DOI: https://doi.org/10.1007/BF00896853