G. E. Andrews, R. Askey, and R. Roy, Special functions In: Encyclopedia of Mathematics and Its Applications, 1999.

V. I. Arnold, Geometrical Methods in the Theory of Ordinary Differential Equations, translated by J. Szucs, 1983.

F. M. Arscott, Heun's equation Heun's Differential Equations, 1995.

R. C. Batra, On nonclassical boundary conditions, Arch. Rational Mech. Anal, vol.48, pp.163-191, 1972.

R. C. Batra, Thermodynamics of non-simple elastic materials, Journal of Elasticity, vol.53, issue.4, pp.451-456, 1976.
DOI : 10.1007/BF00040904

R. C. Batra, The initiation and growth of, and the interaction among, adiabatic shear bands in simple and dipolar materials, International Journal of Plasticity, vol.3, issue.1, pp.75-89, 1987.
DOI : 10.1016/0749-6419(87)90019-2

R. C. Batra and L. Chen, Shear band spacing in gradient-dependent thermoviscoplastic materials, Computational Mechanics, vol.23, issue.1, pp.8-19, 1999.
DOI : 10.1007/s004660050381

R. C. Batra and J. Hwang, Dynamic shear band development in dipolar thermoviscoplastic materials, Comput. Mech, vol.12, pp.354-369, 1994.

R. C. Batra and C. H. Kim, Adiabatic shear banding in elastic-viscoplastic nonpolar and dipolar materials, International Journal of Plasticity, vol.6, issue.2, pp.127-141, 1990.
DOI : 10.1016/0749-6419(90)90018-A

P. Bérest, J. Bergues, B. Brouard, J. G. Durup, and B. Guerber, A salt cavern abandonment test, International Journal of Rock Mechanics and Mining Sciences, vol.38, issue.3, pp.357-368, 2001.
DOI : 10.1016/S1365-1609(01)00004-1

M. A. Biot, General Theory of Three???Dimensional Consolidation, Journal of Applied Physics, vol.12, issue.2, pp.155-164, 1941.
DOI : 10.1063/1.1712886

URL : https://hal.archives-ouvertes.fr/hal-01368635

R. M. Bowen, Theory of Mixtures, In: Continuum Physics, vol.III, pp.2-127, 1976.
DOI : 10.1016/B978-0-12-240803-8.50017-7

J. W. Cahn and J. E. Hilliard, Free energy of a non-uniform system, J. Chem. Phys, pp.31-688, 1959.

P. Casal and H. Gouin, Equations du movement des fluides thermocapillaires, C. R. Acad. Sci. Paris Sér. II, vol.306, pp.99-104, 1988.

P. Cosenza, M. Ghoreychi, B. Bazargan-sabet, and G. De-marsily, In situ rock salt permeability measurement for long term safety assessment of storage, International Journal of Rock Mechanics and Mining Sciences, vol.36, issue.4, pp.36-509, 1999.
DOI : 10.1016/S0148-9062(99)00017-0

R. De-boer, Theory of Porous Media, 2000.
DOI : 10.1007/978-3-642-59637-7

F. Isola, M. Guarascio, and K. Hutter, A variational approach for the deformation of a saturated porous solid. A second gradient theory extending Terzaghi's effective stress principle, Archive Appl. Mech, pp.70-323, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00502003

F. Isola and P. Seppecher, Edge contact forces and quasibalanced power, Meccanica, vol.32, issue.1, pp.33-52, 1997.
DOI : 10.1023/A:1004214032721

URL : https://hal.archives-ouvertes.fr/hal-00494641

W. Elhers, Toward finite theories of liquid-saturated elasto-plastic porous media, Internat. J. Plasticity, vol.7, pp.433-475, 1991.

P. Germain, La méthode des puissances virtuelles en mécanique des milieux continus, J. Mécanique, vol.12, issue.2, pp.235-274, 1973.

P. Germain, The method of virtual power in continuum mechanics, Part Microstructure. SIAM J. Appl. Mech, vol.2, issue.253, pp.556-575, 1973.

M. A. Goodman and S. C. Cowin, A continuum theory for granular materials, Archive for Rational Mechanics and Analysis, vol.44, issue.4, pp.249-266, 1972.
DOI : 10.1007/BF00284326

H. Gouin, Tension superficielle dynamique et effet Marangoni pour les interfaces liquidevapeur en théorie de la capillarité interne, C. R. Acad. Sci. Paris Sér. II, vol.303, issue.1, 1986.

S. Krishnaswamy and R. C. Batra, A Thermomechanical Theory of Solid-Fluid Mixtures, Mathematics and Mechanics of Solids, vol.2, issue.2, pp.143-151, 1997.
DOI : 10.1177/108128659700200203

G. A. Maugin, Die Methode der virtuallen Leistung in der Kontinuumsmechanik: Anwendung auf gekoppelte Felder, Acta Mechanica, vol.15, issue.No. 2, pp.1-70, 1980.
DOI : 10.1007/BF01190057

L. W. Morland, A simple constitutive theory for a fluid-saturated porous solid, Journal of Geophysical Research, vol.75, issue.5, pp.890-900, 1972.
DOI : 10.1029/JB077i005p00890

I. Müller, A thermodynamic theory of mixtures of fluids, Archive for Rational Mechanics and Analysis, vol.27, issue.269, pp.1-39, 1968.
DOI : 10.1007/BF00281561

N. I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity, Noordorf, 1953.
DOI : 10.1007/978-94-017-3034-1

K. R. Rajagopal and L. Tao, Mechanics of Mixtures, World Scientific, vol.35, 1995.
DOI : 10.1142/2197

G. Sciarra, F. Isola, and K. Hutter, A solid-fluid mixture model allowing for solid dilatation under external pressure, Continuum Mechanics and Thermodynamics, vol.13, issue.5, pp.287-306, 2001.
DOI : 10.1007/s001610100053

URL : https://hal.archives-ouvertes.fr/hal-00499418

G. Sciarra, K. Hutter, and G. A. Maugin, A variational approach to a micro-structured theory of solid-fluid mixtures, Archive of Applied Mechanics (Ingenieur Archiv), vol.73, issue.3-4
DOI : 10.1007/s00419-003-0279-4

URL : https://hal.archives-ouvertes.fr/hal-01362137

P. Seppecher, Equilibrium of a Cahn?Hilliard fluid on a wall: Influence of the wetting properties of the fluid upon the stability of a thin liquid film, European J. Mech. B Fluids, vol.12, issue.1, pp.69-84, 1993.

B. Svendsen and K. Hutter, On the thermodynamics of a mixture of isotropic materials with constraints, International Journal of Engineering Science, vol.33, issue.14, pp.2021-2054, 1995.
DOI : 10.1016/0020-7225(95)00044-X

R. Thom, Stabilit?? structurelle et morphogen??se, Poetics, vol.3, issue.2, 1972.
DOI : 10.1016/0304-422X(74)90010-2