J. Wolf, Dynamic soil-structure interaction, 1985.

D. Clouteau and A. D. , Computational soil-structure interaction In Boundary Element Methods for Soil- Structure Interaction Kluwer Academic, 2001.

G. Schuëller, A state-of-the-art report on computational stochastic mechanics, Probabilistic Engineering Mechanics, pp.197-321, 1997.
DOI : 10.1016/S0266-8920(97)00003-9

A. Zerva and V. Zervas, Spatial variation of seismic ground motions: An overview, Applied Mechanics Reviews, vol.55, issue.3, pp.271-297, 2002.
DOI : 10.1115/1.1458013

G. Manolis, Stochastic soil dynamics, Soil Dynamics and Earthquake Engineering, vol.22, issue.1, pp.3-15, 2002.
DOI : 10.1016/S0267-7261(01)00055-0

J. Semblat, M. Kham, E. Parara, P. Bard, K. Pitilakis et al., Seismic wave amplification: Basin geometry vs soil layering, Soil Dynamics and Earthquake Engineering, pp.529-538, 2005.
DOI : 10.1016/j.soildyn.2004.11.003
URL : https://hal.archives-ouvertes.fr/hal-00107884

J. Favre, Errors in geotechnics and their impact on safety, Computers and Structures, pp.37-45, 1998.
DOI : 10.1016/S0045-7949(97)00154-5

Y. Lin, F. Kozin, Y. Wen, F. Casciati, G. Schuëller et al., Methods of stochastic structural dynamics, Structural Safety, pp.167-194, 1986.
DOI : 10.1016/0167-4730(86)90003-2

R. Ibrahim, Structural Dynamics with Parameter Uncertainties, Applied Mechanics Reviews, vol.40, issue.3, pp.309-328, 1987.
DOI : 10.1115/1.3149532

J. Luco and H. Wong, Response of a rigid foundation to a spatially random ground motion, Earthquake Engineering and Structural Dynamics, pp.891-908, 1986.
DOI : 10.1002/eqe.4290140606

R. Harichandran and E. Vanmarcke, Stochastic Variation of Earthquake Ground Motion in Space and Time, Journal of Engineering Mechanics, vol.112, issue.2, pp.154-174, 1986.
DOI : 10.1061/(ASCE)0733-9399(1986)112:2(154)

G. Deodatis, Non-stationary stochastic vector processes: seismic ground motion applications, Probabilistic Engineering Mechanics, pp.149-168, 1996.
DOI : 10.1016/0266-8920(96)00007-0

D. Ghiocel and R. Ghanem, Stochastic Finite-Element Analysis of Seismic Soil???Structure Interaction, Journal of Engineering Mechanics, vol.128, issue.1, pp.66-77, 2002.
DOI : 10.1061/(ASCE)0733-9399(2002)128:1(66)

P. Labbé and H. Noé, Stochastic approach for the seismic design of nuclear power plant equipments, Nuclear Engineering and Design, vol.129, issue.3, pp.367-379, 1991.
DOI : 10.1016/0029-5493(91)90145-8

C. Desceliers, C. Soize, and S. Cambier, Non-parametric???parametric model for random uncertainties in non-linear structural dynamics: application to earthquake engineering, Earthquake Engineering and Structural Dynamics, pp.315-327, 2004.
DOI : 10.1002/eqe.352
URL : https://hal.archives-ouvertes.fr/hal-00686208

E. Savin and D. Clouteau, Elastic wave propagation in a 3-D unbounded random heterogeneous medium coupled with a bounded medium. Application to seismic soil-structure interaction (SSSI), International Journal for Numerical Methods in Engineering, vol.125, issue.4, pp.607-630, 2002.
DOI : 10.1002/nme.442
URL : https://hal.archives-ouvertes.fr/hal-00273477

A. Chopra, Dynamics of structures: theory and applications to earthquake engineering, 2000.

C. Robert and G. Casella, Monte Carlo statistical methods, 1999.

P. Krée and C. Soize, Mathematics of Random Phenomena: Random Vibrations of Mechanical Structures, 1986.
DOI : 10.1007/978-94-009-4770-2

G. Gazetas, Analysis of machine foundation vibrations: State of the art, Soil Dynamics and Earthquake Engineering, pp.2-42, 1983.
DOI : 10.1016/0261-7277(83)90025-6

J. Sieffert and F. Cevaer, Handbook of impedance functions. Surface foundations. OuestÉditionsOuest´OuestÉditions, 1992.

S. Dutta and R. Roy, A critical review on idealization and modeling for interaction among soil-foundationstructure system, In Computers & Structures, vol.80, pp.20-211579, 2002.

J. Wolf and D. Somaini, Approximate dynamic model of embedded foundation in time domain, Earthquake Engineering and Structural Dynamics, pp.683-703, 1986.
DOI : 10.1002/eqe.4290140502

F. De-barros and J. Luco, Discrete models for vertical vibrations of surface and embedded foundations, Earthquake Engineering and Structural Dynamics, pp.289-303, 1990.
DOI : 10.1002/eqe.4290190211

W. Jean, T. Lin, and J. Penzien, System parameters of soil foundations for time domain dynamic analysis, Earthquake Engineering and Structural Dynamics, pp.541-553, 1990.
DOI : 10.1002/eqe.4290190406

J. Wolf, Consistent lumped-parameter models for unbounded soil: Physical representation, Earthquake Engineering and Structural Dynamics, pp.11-32, 1991.
DOI : 10.1002/eqe.4290200103

J. Wolf, Consistent lumped-parameter models for unbounded soil: Frequency-independent stiffness, damping and mass matrices, Earthquake Engineering and Structural Dynamics, pp.33-41, 1991.
DOI : 10.1002/eqe.4290200104

J. Wolf and A. Paronesso, Lumped-parameter model for a rigid cylindrical foundation embedded in a soil layer on rigid rock, Earthquake Engineering and Structural Dynamics, pp.1021-1038, 1992.
DOI : 10.1002/eqe.4290211201

W. Wu and W. Lee, Systematic lumped-parameter models for foundations based on polynomial-fraction approximation, Earthquake Engineering and Structural Dynamics, pp.1383-1412, 2002.
DOI : 10.1002/eqe.168

F. Chabas and C. Soize, Modeling mechanical subsystems by boundary impedance in the finite element method, La Recherche Aérospatiale, pp.59-75, 1987.
URL : https://hal.archives-ouvertes.fr/hal-00770383

R. Cottereau, D. Clouteau, and C. Soize, Construction of a probabilistic model for impedance matrices, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.17-20, pp.17-202252, 2007.
DOI : 10.1016/j.cma.2006.12.001
URL : https://hal.archives-ouvertes.fr/hal-00686151

J. Dominguez, Boundary Elements in dynamics, Computer Mechanics Publications, 1993.

G. Baecher and T. Ingra, Stochastic FEM in settlement predictions, Proceedings of the ASME, pp.449-463, 1981.

G. Righetti and K. Harrop-williams, Finite Element Analysis of Random Soil Media, Journal of Geotechnical Engineering, vol.114, issue.1, pp.59-75, 1988.
DOI : 10.1061/(ASCE)0733-9410(1988)114:1(59)

R. Ghanem and W. Brzakala, Stochastic Finite-Element Analysis of Soil Layers with Random Interface, Journal of Engineering Mechanics, vol.122, issue.4, pp.361-369, 1996.
DOI : 10.1061/(ASCE)0733-9399(1996)122:4(361)

C. Yeh and M. Rahman, Stochastic finite element methods for the seismic response of soils, International Journal for Numerical and Analytical Methods in Geomechanics, vol.22, issue.10, pp.819-850, 1998.
DOI : 10.1002/(SICI)1096-9853(1998100)22:10<819::AID-NAG943>3.3.CO;2-9

M. Rahman and C. Yeh, Variability of seismic response of soils using stochastic finite element method, Soil Dynamics and Earthquake Engineering, pp.229-245, 1999.
DOI : 10.1016/S0267-7261(98)00031-1

S. Liao and J. Li, A stochastic approach to site-response component in seismic ground motion coherency model, Soil Dynamics and Earthquake Engineering, pp.9-12813, 2002.
DOI : 10.1016/S0267-7261(02)00103-3

A. Nour, A. Slimani, and N. Laouami, Foundation settlement statistics via finite element analysis, Computers and Geotechnics, pp.641-672, 2002.
DOI : 10.1016/S0266-352X(02)00014-9

A. Nour, A. Slimani, N. Laouami, and H. Afra, Finite element model for the probabilistic seismic response of heterogeneous soil profile, Soil Dynamics and Earthquake Engineering, pp.331-348, 2003.
DOI : 10.1016/S0267-7261(03)00036-8

E. Melerski, Thin Shell Foundation Resting on Stochastic Soil, Journal of Structural Engineering, vol.114, issue.12, pp.2692-2709, 1988.
DOI : 10.1061/(ASCE)0733-9445(1988)114:12(2692)

S. Chakraborty, S. Dey, and S. , Stochastic finite element simulation of random structure on uncertain foundation under random loading, International Journal of Mechanical Sciences, vol.38, issue.11, pp.1209-1218, 1996.
DOI : 10.1016/0020-7403(96)00005-7

F. Toubalem, B. Zeldin, F. Thouverez, and P. Labbé, Vertical Excitation of Stochastic Soil-Structure Interaction Systems, Journal of Geotechnical and Geoenvironmental Engineering, vol.125, issue.5, pp.349-356, 1999.
DOI : 10.1061/(ASCE)1090-0241(1999)125:5(349)

D. Breysse, H. Niandou, S. Elachachi, and L. Houy, A generic approach to soil-structure interaction considering the effects of soil heterogeneity, Géotechnique, pp.143-150, 2004.

M. Schevenels, G. Lombaert, G. Degrande, and D. Clouteau, The wave propagation in a beam on a random elastic foundation, Probabilistic Engineering Mechanics, pp.150-158, 2006.
DOI : 10.1016/j.probengmech.2006.09.003
URL : https://hal.archives-ouvertes.fr/hal-00273448

D. Nedjar, M. Hamane, M. Bensafi, S. Elachachi, and D. Breysse, Seismic response analysis of pipes by a probabilistic approach, Soil Dynamics and Earthquake Engineering, pp.111-115, 2007.
DOI : 10.1016/j.soildyn.2006.06.001

S. Jin, L. Lutes, and S. Sarkani, Response variability for a structure with soil???structure interactions and uncertain soil properties, Probabilistic Engineering Mechanics, pp.175-183, 2000.
DOI : 10.1016/S0266-8920(99)00017-X

L. Lutes, S. Sarkani, and J. S. , Response variability of an SSI system with uncertain structural and soil properties, Engineering Structures, vol.22, issue.6, pp.605-620, 2000.
DOI : 10.1016/S0141-0296(99)00003-6

F. Toubalem, F. Thouverez, and P. Labbé, Contribution in the study of a transfer function in a medium with random characteristics, Applications of Statistics and Probability, pp.1197-1201, 1995.

G. Auvinet, R. Mellah, F. Masrouri, and J. Rodriguez, La méthode desélémentsdeséléments finis stochastiques en géotechnique, Revue Française de Géotechnique, pp.67-79, 2000.

R. Ghanem and P. Spanos, Stochastic Finite Elements: A Spectral Approach, 1991.
DOI : 10.1007/978-1-4612-3094-6

A. Cornell, First-Order uncertainty analysis of soils deformation and stability, Statistics and Probability in Civil Engineering, Proceedings of the 1st International Conference on Applications of Statistics and Probabilities to Soil and Structural Engineering, pp.129-144, 1971.

M. Schevenels, G. Lombaert, G. Degrande, D. Degrauwe, and B. Schoors, The Green???s functions of a vertically inhomogeneous soil with a random dynamic shear modulus, Probabilistic Engineering Mechanics, pp.100-111, 2006.
DOI : 10.1016/j.probengmech.2006.09.001

E. Thompson, L. Baise, and R. Kayen, Spatial correlation of shear-wave velocity in the San Francisco Bay Area sediments, Soil Dynamics and Earthquake Engineering, pp.144-152, 2007.
DOI : 10.1016/j.soildyn.2006.05.004

G. Fenton, Estimation for Stochastic Soil Models, Journal of Geotechnical and Geoenvironmental Engineering, vol.125, issue.6, pp.470-485, 1999.
DOI : 10.1061/(ASCE)1090-0241(1999)125:6(470)

G. Fenton, Random Field Modeling of CPT Data, Journal of Geotechnical and Geoenvironmental Engineering, vol.125, issue.6, pp.486-498, 1999.
DOI : 10.1061/(ASCE)1090-0241(1999)125:6(486)

L. Klime?, Correlation functions of random media, Pure and Applied Geophysics, pp.1811-1831, 2002.

O. Zienkiewicz, R. Taylor, and J. Zhu, The Finite Element method, Butterworth-Heinemann, 2005.

F. Magoules and I. Harari, Absorbing boundary conditions, In Computer Methods in Applied Mechanics and Engineering, vol.195, pp.29-323551, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00623834

C. Soize, A nonparametric model of random uncertainties for reduced matrix models in structural dynamics, Probabilistic Engineering Mechanics, pp.277-294, 2000.
DOI : 10.1016/S0266-8920(99)00028-4
URL : https://hal.archives-ouvertes.fr/hal-00686293

C. Soize, Maximum entropy approach for modeling random uncertainties in transient elastodynamics, The Journal of the Acoustical Society of America, vol.109, issue.5, pp.1979-1996, 2001.
DOI : 10.1121/1.1360716
URL : https://hal.archives-ouvertes.fr/hal-00686287

C. Soize, Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.1-3, pp.26-64, 2006.
DOI : 10.1016/j.cma.2004.12.014
URL : https://hal.archives-ouvertes.fr/hal-00686157

M. Arnst, Inversion of probabilistic models of structures using measured transfer functions, 2007.
URL : https://hal.archives-ouvertes.fr/tel-00238573

M. Arnst, D. Clouteau, and M. Bonnet, Inversion of probabilistic structural models using measured transfer functions, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.6-8, 2007.
DOI : 10.1016/j.cma.2007.08.011

R. Cottereau, Probabilistic models of impedance matrices Application to dynamic soil-structure interaction, 2007.
URL : https://hal.archives-ouvertes.fr/tel-00132950

R. Cottereau, D. Clouteau, and C. Soize, Approches paramétriques et non-paramétriques pour la modélisation probabiliste des matrices d'impédance, Actes du 8` eme Colloque National en Calcul des Structures, 2007.

. Openfem-software-website, http://www-rocq.inria.fr/OpenFEM, 2006.