J. L. Auriault and C. Boutin, Deformable porous media with double porosity. Quasi-statics. I: Coupling effects, Transp. Porous Media, vol.7, pp.63-82, 1992.
URL : https://hal.archives-ouvertes.fr/hal-00936358

J. L. Auriault and C. Boutin, Deformable porous media with double porosity. Quasi-statics. II: Memory effects, Transp. Porous Media, vol.10, pp.153-169, 1993.
URL : https://hal.archives-ouvertes.fr/hal-00936358

R. S. Ayyagari and M. Vural, On the nature of pressure dependence in foams, Int. J. Solids Struct, vol.78, pp.160-173, 2016.

J. Ba, J. X. Nie, H. Cao, and H. Z. Yang, Mesoscopic fluid flow simulation in double-porosity rocks, Geophys. Res. Lett, vol.35, p.4303, 2008.

J. G. Berryman and H. F. Wang, , 1995.

, J. Geophys. Res, vol.100, pp.24611-24627

M. A. Biot, General theory of three-dimensional consolidation, Journal of Applied Physics, vol.12, pp.155-164, 1941.
URL : https://hal.archives-ouvertes.fr/hal-01368635

J. V. Borgomano, L. Pimienta, J. Fortin, and Y. Guéguen, Dispersion and attenuation measurements of, 2017.

, Geophys. Res, vol.122, pp.2690-2711

C. Boutin and P. Roye, On models of double porosity poroelastic media, Geophys. J. Int, vol.203, pp.1694-1725, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01239441

R. J. Brown and J. Korringa, , 1975.

D. L. Brown, P. Popov, and Y. Efendiev, Effective equations for fluid-structure interaction with applications to poroelasticity, Appl. Anal, vol.93, pp.771-790, 2014.

F. Chen, I. Sevostianov, A. Giraud, and D. Grgic, , 2018.

Z. Chen, X. Wang, F. Giuliani, and A. Atkinson, Microstructural characteristics and elastic modulus of porous solids, Acta Mater, vol.89, pp.268-277, 2015.

A. H. Cheng, Material coefficients of anisotropic poroelasticity, Int. J Rock Mech. Min. Sci, vol.34, pp.199-205, 1997.

J. Choo, J. A. White, and R. I. Borja, Hydromechanical modeling of unsaturated flow in double porosity media, Int. J. Geomech, vol.16, p.4016002, 2016.

N. I. Christensen and H. F. Wang, The influence of pore pressure and confining pressure on dynamic elastic properties of Berea sandstone, Geophys, vol.50, pp.207-213, 1985.

R. M. Christensen, Mechanics of Composite Materials, 2012.

H. Coninck and S. M. Benson, Carbon dioxide capture and storage: issues and prospects, Annu. Rev, 2014.

. Env and . Resour, , vol.39, pp.243-270

M. Conrath, N. Fries, M. Zhang, and M. E. Dreyer, , 2010.

, Transp. Porous Media, vol.84, pp.109-132

O. Coussy, L. Dormieux, and E. Detournay, From mixture theory to Biot's approach for porous media, 1998.

, J Solids Struct, vol.35, pp.4619-4635

S. C. Cowin, Bone Mechanics Handbook, 2001.

A. R. Day, K. A. Snyder, E. J. Garboczi, and M. F. Thorpe, The elastic moduli of a sheet containing circular holes, J. Mech. Phys. Solids, vol.40, pp.1031-1051, 1992.

E. Detournay, Mechanics of hydraulic fractures, 2016.

, Annu. Rev. Fluid Mech, vol.48, pp.311-339

V. Dorodnitsyn and B. Van-damme, Twodimensional fluid-filled closed-cell cellular solid as an acoustic metamaterial with negative index, Phys. Rev. B, vol.93, p.134302, 2016.

D. M. Georget, A. C. Smith, and K. W. Waldron, Modelling of carrot tissue as a fluid-filled foam, 2003.

. Mater and . Sci, , vol.38, pp.1933-1938

L. J. Gibson and M. F. Ashby, Cellular Solids: Structure and Properties, 1999.

M. Liu, J. Wu, Y. Gan, D. A. Hanaor, and C. Q. Chen, Multiscale modeling of the effective elastic properties of fluid-filled porous materials, International Journal of Solids and Structures, vol.162, pp.36-44, 2019.

L. J. Gibson, M. F. Ashby, and B. A. Harley, Cellular Materials in Nature and Medicine, 2010.

G. Y. Gor, L. Bertinetti, N. Bernstein, T. Hofmann, P. Fratzl et al., Elastic response of, 2015.

, Appl. Phys. Lett, vol.106, p.261901

O. A. Goussev, P. Richner, M. G. Rozman, and A. A. Gusev, Void-containing materials with tailored Poisson's ratio, J. Appl. Phys, vol.88, pp.4013-4016, 2000.

L. Guiducci, P. Fratzl, Y. J. Bréchet, and J. W. Dunlop, Pressurized honeycombs as soft-actuators: a theoretical study, J. R. Soc. Interface, vol.11, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01138231

F. L. Guo, B. B. He, and X. Niu, , 2015.

N. Hu, B. Wang, G. W. Tan, Z. H. Yao, and W. F. Yuan, holes: numerical simulations, Comp. Sci. Tech, vol.60, pp.1811-1823

A. H. Kim and R. A. Guyer, Nonlinear Elasticity and Hysteresis: Fluid-solid Coupling in Porous Media, 2014.

K. Kitazono, E. Sato, and K. Kuribayashi, , 2003.

D. Y. Leung, G. Caramanna, and M. M. Maroto-valer,

B. Li, B. Wang, and S. R. Reid, Effective elastic properties of randomly distributed void models for porous materials, Int. J. Mech. Sci, vol.52, pp.726-732, 2010.

M. Liu and C. Q. Chen, A micromechanical analysis, 2015.

, J. Solids Struct, vol.63, pp.32-38

M. Liu, J. Wu, Y. Gan, and C. Q. Chen, 2016 (a). The pore-load modulus of ordered nanoporous materials with surface effects, AIP Adv, vol.6, p.35324

M. Liu, J. Wu, Y. Gan, D. A. Hanaor, and C. Q. Chen, 2016 (b). Evaporation limited radial capillary penetration in porous media, Langmuir, vol.32, pp.9899-9904
URL : https://hal.archives-ouvertes.fr/hal-01965339

M. Liu, Y. Zhang, J. Wu, Y. Gan, and C. Q. Chen, Analytical solutions for elastic response of coated mesoporous materials to pore pressure, Int. J. Eng. Sci, vol.107, pp.68-76

J. Lv, H. Liu, and H. W. Zhang, A multiscale corotational method for geometrically nonlinear shape morphing of 2D fluid actuated cellular structures, 2014.

. Mater, , vol.79, pp.1-14

L. H. Ma, Q. S. Yang, X. H. Yan, and Q. H. Qin, Elastoplastic mechanics of porous materials with varied inner pressures, Mech. Mater, vol.73, pp.58-75, 2014.

J. K. Mackenzie, The elastic constants of a solid containing spherical holes, Proc. Phys. Soc. B, vol.63, pp.2-11, 1950.

K. N. Moutsopoulos, A. A. Konstantinidis, I. D. Meladiotis, C. D. Tzimopoulos, and E. C. Aifantis, Hydraulic behavior and contaminant transport in multiple porosity media, Transp. Porous Media, vol.42, pp.265-292, 2001.

W. Pabst, E. Gregorová, and G. Tichá, Elasticity of porous ceramics-A critical study of modulus ? porosity relations, J. Euro. Ceram. Soc, vol.26, pp.1085-1097, 2006.

E. Rohan, S. Naili, R. Cimrman, and T. Lemaire, , 2012.

, Multiscale modeling of a fluid saturated medium with double porosity: Relevance to the compact bone, J. Mech. Phys. Solids, vol.60, pp.857-881

E. Rohan, S. Naili, and T. Lemaire, Double porosity in fluid-saturated elastic media: deriving effective parameters by hierarchical homogenization of static problem, Continuum Mech. Therm, vol.28, pp.1263-1293, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01344489

B. Shafiro and M. Kachanov, Materials with fluidfilled pores of various shapes: Effective elastic properties and fluid pressure polarization, Int. J. Solids Struct, vol.34, pp.3517-3540, 1997.

M. P. Sobera, C. R. Kleijn, J. Wu, Y. Gan, D. A. Hanaor et al., Multiscale modeling of the effective elastic properties of fluid-filled porous materials, Hydraulic Cite as: Liu, vol.162, pp.36-44, 2006.

Y. Song, H. Hu, and J. W. Rudnicki, , 2016.

A. Spadoni, R. Höhler, S. Cohen-addad, and V. Dorodnitsyn, Closed-cell crystalline foams: self-assembling, resonant metamaterials, J. Acoust, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01239403

, Soc. Am, vol.135, pp.1692-1699

J. E. Streit and R. R. Hillis, Estimating fault stability, vol.29, pp.1445-1456, 2004.

B. Su, Z. Zhou, G. Xiao, Z. Wang, X. Shu et al.,

, J. Mech. Sci, vol.120, pp.237-248

M. L. Szulczewski, C. W. Macminn, and R. Juanes, , 2014.

M. Thompson and J. R. Willis, A reformation of the equations of anisotropic poroelasticity, J Appl. Mech, vol.58, pp.612-616, 1991.

S. Timoshenko and J. Goodier, Theory of Elasticity, 1970.

C. D. Tsakiroglou, M. A. Ioannidis, E. Amirtharaj, and O. Vizika, , 2009.

K. A. Van-den-abeele, J. Carmeliet, P. A. Johnson, and B. Zinszner, , 2002.

, J. Geophys. Res, vol.107, p.2121

P. G. Vincent, Y. Monerie, and P. Suquet, Porous materials with two populations of voids under internal pressure: I. Instantaneous constitutive relations, Int. J. Solids Struct, vol.46, pp.480-506, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00320833

J. B. Walsh, W. F. Brace, and A. W. England, Effect of porosity on compressibility of glass, J. Am. Ceram, 1965.

. Soc, , vol.48, pp.605-608

J. C. Wang, Young's modulus of porous materials, 1984.

, J. Mater. Sci, vol.19, pp.801-808

G. Wang, W. Tu, and M. J. Pindera, Tailoring the moduli of composites using hollow reinforcement, 2017.

. Comp and . Struct, , vol.160, pp.838-853

M. Warner, B. L. Thiel, and A. M. Donald, The elasticity and failure of fluid-filled cellular solids: theory and experiment, Proc. Nat. Acad. Sci, vol.97, pp.1370-1375, 2000.

S. Whitaker, Flow in porous media I: A theoretical derivation of Darcy's law, Transp. Porous Media, vol.1, pp.3-25, 1986.

H. Yuk, S. Lin, C. Ma, M. Takaffoli, N. X. Fang et al., Hydraulic hydrogel actuators and robots optically and sonically camouflaged in water, 2017.

, Nat. Commun, vol.8, p.14230