C. Perrot, Modeling of multi-scale and multiphysical properties of acoustic materials, 2014.

M. T. Hoang and C. Perrot, Identifying local characteristic lengths governing sound wave properties in solid foams, Journal of Applied Physics, vol.113, issue.8
DOI : 10.1016/j.colsurfa.2012.02.048
URL : https://hal.archives-ouvertes.fr/hal-00799631

. Appl and . Phys, , pp.84905-84912, 2013.

M. T. Hoang, G. Bonnet, H. T. Luu, and C. Perrot, Linear elastic properties derivation from microstructures representative of transport parameters, The Journal of the Acoustical Society of America, vol.135, issue.6, pp.3172-3185, 2014.
DOI : 10.1121/1.4872296
URL : https://hal.archives-ouvertes.fr/hal-01162080

L. J. Gibson and M. F. Ashby, Cellular solids, structure and properties, pp.184-192, 1988.

W. E. Warren and A. M. Kraynik, The Linear Elastic Properties of Open-Cell Foams, Journal of Applied Mechanics, vol.55, issue.2, pp.341-346, 1988.
DOI : 10.1115/1.3173680

J. F. Allard and Y. Champoux, New empirical equations for sound propagation in rigid frame fibrous materials, The Journal of the Acoustical Society of America, vol.91, issue.6, pp.3346-3353, 1992.
DOI : 10.1121/1.402824

D. L. Johnson, J. Koplik, and R. Dashen, Theory of dynamic permeability and tortuosity in fluid-saturated porous media, Journal of Fluid Mechanics, vol.24, issue.-1, pp.379-402, 1987.
DOI : 10.1121/1.388036

Y. Champoux and J. F. Allard, Dynamic tortuosity and bulk modulus in air???saturated porous media, Journal of Applied Physics, vol.87, issue.4, pp.10-1063, 1975.
DOI : 10.1121/1.2027977

P. Göransson, Acoustic and vibrational damping in porous solids, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.55, issue.1838, pp.89-108, 2006.
DOI : 10.1115/1.3173680

E. Lind-nordgren and P. Göransson, Optimising open porous foam for acoustical and vibrational performance, Journal of Sound and Vibration, vol.329, issue.7, pp.753-767, 2010.
DOI : 10.1016/j.jsv.2009.10.009

M. A. Biot, Theory of Propagation of Elastic Waves in a Fluid???Saturated Porous Solid. I. Low???Frequency Range, II. Higher frequency range, pp.168-178, 1956.
DOI : 10.1121/1.1908239
URL : https://hal.archives-ouvertes.fr/hal-01368668

C. J. Cameron, E. Lind-nordgren, P. Wennhage, and P. Göransson, On the balancing of structural and acoustic performance of a sandwich panel based on topology, property, and size optimization, Journal of Sound and Vibration, vol.333, issue.13, 2014.
DOI : 10.1016/j.jsv.2014.01.025

O. Doutres, N. Atalla, D. , and K. , Effect of the microstructure closed pore content on the acoustic behavior of polyurethane foams, Journal of Applied Physics, vol.110, issue.6, 2011.
DOI : 10.1103/PhysRevB.47.4964

O. Doutres, N. Atalla, D. , and K. , A semiphenomenological model to predict the acoustic behavior of fully and partially reticulated polyurethane foams, J. Appl. Phys, vol.113, issue.054901, 2013.

C. Perrot, R. Panneton, and X. Olny, Periodic unit cell reconstruction of porous media: Application to open-cell aluminum foams, Journal of Applied Physics, vol.33, issue.11, pp.10-1063, 2007.
DOI : 10.1121/1.4787789
URL : https://hal.archives-ouvertes.fr/hal-00731850

M. T. Hoang and C. Perrot, Solid films and transports in cellular foams, Journal of Applied Physics, vol.112, issue.5, pp.10-1063, 2012.
DOI : 10.1121/1.3641402
URL : https://hal.archives-ouvertes.fr/hal-00731906

J. L. Auriault, Dynamic behavior of a porous medium saturated by a Newtonian fluid, Int. J. Eng. Sci, vol.1880, pp.775-785, 1980.

R. Burridge and J. B. Keller, Poroelasticity equations derived from microstructure, The Journal of the Acoustical Society of America, vol.70, issue.4, pp.1140-1146, 1981.
DOI : 10.1121/1.386945

C. Boutin, Rayleigh scattering of acoustic waves in rigid porous media, The Journal of the Acoustical Society of America, vol.122, issue.4, 1888.
DOI : 10.1121/1.2756755
URL : https://hal.archives-ouvertes.fr/hal-00943752

S. Gasser, F. Paun, and Y. Bréchet, Absorptive properties of rigid porous media: Application to face centered cubic sphere packing, The Journal of the Acoustical Society of America, vol.117, issue.4, 2005.
DOI : 10.1121/1.1863052

C. Perrot, R. Panneton, and X. Olny, Computation of the dynamic thermal dissipation properties of porous media by Brownian motion simulation: Application to an open-cell aluminum foam, Journal of Applied Physics, vol.3, issue.7, pp.74917-74927, 2007.
DOI : 10.1121/1.398241
URL : https://hal.archives-ouvertes.fr/hal-00731846

C. Perrot, F. Chevillotte, and R. Panneton, Dynamic viscous permeability of an open-cell aluminum foam: Computations versus experiments, Journal of Applied Physics, vol.91, issue.2, pp.10-1063, 2008.
DOI : 10.1121/1.2179749
URL : https://hal.archives-ouvertes.fr/hal-00731804

C. Perrot, F. Chevillotte, R. Panneton, and J. Allard, On the dynamic viscous permeability tensor symmetry, The Journal of the Acoustical Society of America, vol.124, issue.4, 2008.
DOI : 10.1121/1.2968300
URL : https://hal.archives-ouvertes.fr/hal-00731735

C. Perrot, F. Chevillotte, M. T. Hoang, and G. Bonnet, Microstructure, transport, and acoustic properties of open-cell foam samples: Experiments and three-dimensional numerical simulations, Journal of Applied Physics, vol.111, issue.1, 2012.
DOI : 10.1103/PhysRevB.4.2612
URL : https://hal.archives-ouvertes.fr/hal-00731446

C. Perrot, F. Chevillotte, and R. Panneton, Bottom-up approach for microstructure optimization of sound absorbing materials, The Journal of the Acoustical Society of America, vol.124, issue.2, pp.940-948, 2008.
DOI : 10.1121/1.2945115
URL : https://hal.archives-ouvertes.fr/hal-00732089

J. Serra, Image analysis and mathematical morphology, 1982.

I. Malinouskaya, V. V. Mourzenko, J. Thovert, and P. M. Adler, Wave propagation through saturated porous media, Physical Review E, vol.19, issue.6, 2008.
DOI : 10.1063/1.1871352
URL : https://hal.archives-ouvertes.fr/hal-00414177

C. Peyrega, D. Jeulin, C. Delisée, and J. Malvestio, 3D Morphological Characterization of Phonic Insulation Fibrous Media, Advanced Engineering Materials, vol.61, issue.3, pp.156-164, 2011.
DOI : 10.1016/S0003-682X(00)00003-7
URL : https://hal.archives-ouvertes.fr/hal-00833504

C. Peyrega and D. Jeulin, Estimation of acoustic properties and of the representative volume element of random fibrous media, Journal of Applied Physics, vol.35, issue.4, pp.10-1063, 2013.
DOI : 10.1016/j.ijengsci.2008.09.016

L. D. Artavia, C. W. Macosko, R. D. Priester, and R. B. Turner, Polyurethane flexible foam formationThe morphology of flexible polyurethane matrix polymers); in Low density cellular plastics: physical basis of behavior, pp.22-55, 1994.

O. Doutres, N. Atalla, M. Brouillette, C. G. Hébert, and W. Strutt, Using shock waves to improve the sound absorbing efficiency of closed-cell foams, Physical AcousticsSound Absorbing Materials, pp.110-116, 1945.
DOI : 10.1016/j.apacoust.2013.12.022
URL : http://espace2.etsmtl.ca/id/eprint/8779/1/Doutres%20O%202014%208779%20Using%20shock%20waves%20to%20improve.pdf

J. F. Allard and N. Atalla, The Journal of the Acoustical Society of America, vol.95, issue.5, 2009.
DOI : 10.1121/1.409801

L. Jaouen, A. Renault, and M. Deverge, Elastic and damping characterizations of acoustical porous materials: Available experimental methods and applications to a melamine foam, Applied Acoustics, vol.69, issue.12, pp.1129-1140, 2008.
DOI : 10.1016/j.apacoust.2007.11.008

F. Chevillotte and C. Perrot, Effect of the three-dimensional microstructure on the sound absorption of foams: A parametric study, The Journal of the Acoustical Society of America, vol.142, issue.2, pp.1130-1140, 2017.
DOI : 10.1121/1.4999058
URL : https://hal.archives-ouvertes.fr/hal-01580022

A. Duval, J. Rondeau, L. Dejaeger, and F. Lhuillier, Generalized Light-Weight Concepts: A New Insulator 3D Optimization Procedure, SAE Technical Paper Series, p.12, 2013.
DOI : 10.4271/2013-01-1947

A. Duval, M. T. Hoang, C. Perrot, and V. Marcel, Chemistry-process morphology control of porous microstructures: a bottom-up acoustic optimization approach, SIA-SFA Conference: Light-weighting and acoustical materials in vehicles, p.8, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01162120

M. T. Hoang, C. Perrot, V. Marcel, and J. Rondeau, Microstructure morphological optimization of foam-based lightweight insulators, Automotive NVH Comfort, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01663964