G. Anagnostou and K. Kovari, Face stability conditions with earth-pressure-balanced shields, Tunnelling and Underground Space Technology, vol.11, issue.2, pp.165-173, 1996.
DOI : 10.1016/0886-7798(96)00017-X

C. E. Augarde, A. V. Lyamin, and S. W. Sloan, Stability of an undrained plane strain heading revisited, Computers and Geotechnics, vol.30, issue.5, pp.419-430, 2003.
DOI : 10.1016/S0266-352X(03)00009-0

M. Berveiller, B. Sudret, and M. Lemaire, Stochastic finite element: a non intrusive approach by regression, Revue europ??enne de m??canique num??rique, vol.15, issue.1-2-3, pp.1-2, 2006.
DOI : 10.3166/remn.15.81-92

URL : https://hal.archives-ouvertes.fr/hal-01665506

B. B. Broms and H. Bennermark, Stability of clay at vertical openings, J. Soil Mech. and Found. Div, vol.193, issue.SM1, pp.71-94, 1967.

P. Chambon, C. , and J. F. , Shallow Tunnels in Cohesionless Soil: Stability of Tunnel Face, Journal of Geotechnical Engineering, vol.120, issue.7, pp.1148-1165, 1994.
DOI : 10.1061/(ASCE)0733-9410(1994)120:7(1148)

W. F. Chen, Limit analysis and soil plasticity, 1975.

W. F. Chen and X. L. Liu, Limit analysis in soil mechanics, 1990.

C. Cherubini, Reliability evaluation of shallow foundation bearing capacity on <i>c</i>' ??' soils, Canadian Geotechnical Journal, vol.37, issue.1, pp.264-269, 2000.
DOI : 10.1139/cgj-37-1-264

E. H. Davis, M. J. Gunn, R. J. Mair, and H. N. Seneviratne, The stability of shallow tunnels and underground openings in cohesive material, G??otechnique, vol.30, issue.4, pp.397-416, 1980.
DOI : 10.1680/geot.1980.30.4.397

A. R. Eisenstein and O. Ezzeldine, The role of face pressure for shields with positive ground control Tunneling and ground conditions, pp.557-571, 1994.

A. R. Ellstein, Heading failure of lined tunnels in soft soils, Tunnels Tunnelling, vol.18, pp.51-54, 1986.

S. P. Huang, B. Liang, and K. K. Phoon, Geotechnical probabilistic analysis by collocation-based stochastic response surface method: An Excel add-in implementation, Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards, vol.26, issue.2, pp.75-86, 2009.
DOI : 10.1061/(ASCE)0733-9410(1985)111:1(32)

S. S. Isukapalli, An uncertainty analysis of transport-transformation models, 1999.

S. S. Isukapalli, A. Roy, G. , and P. G. , Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems, Risk Analysis, vol.17, issue.3, pp.351-363, 1998.
DOI : 10.1021/es60166a008

A. Klar, A. S. Osman, and M. Bolton, 2D and 3D upper bound solutions for tunnel excavation using ???elastic??? flow fields, International Journal for Numerical and Analytical Methods in Geomechanics, vol.37, issue.12, pp.31-1367, 2007.
DOI : 10.1002/nag.597

E. Leca and L. Dormieux, Upper and lower bound solutions for the face stability of shallow circular tunnels in frictional material, G??otechnique, vol.40, issue.4, pp.581-606, 1990.
DOI : 10.1680/geot.1990.40.4.581

G. Mollon, D. Dias, and A. Soubra, Probabilistic Analysis and Design of Circular Tunnels against Face Stability, International Journal of Geomechanics, vol.9, issue.6, pp.237-249, 2009.
DOI : 10.1061/(ASCE)1532-3641(2009)9:6(237)

URL : https://hal.archives-ouvertes.fr/hal-01007201

G. Mollon, D. Dias, and A. Soubra, ???Probabilistic Analysis of Circular Tunnels in Homogeneous Soil Using Response Surface Methodology, Journal of Geotechnical and Geoenvironmental Engineering, vol.135, issue.9, pp.1314-1325, 2009.
DOI : 10.1061/(ASCE)GT.1943-5606.0000060

G. Mollon, D. Dias, and A. Soubra, Face Stability Analysis of Circular Tunnels Driven by a Pressurized Shield, Journal of Geotechnical and Geoenvironmental Engineering, vol.136, issue.1, pp.215-229, 2010.
DOI : 10.1061/(ASCE)GT.1943-5606.0000194

URL : https://hal.archives-ouvertes.fr/hal-01006892

K. K. Phoon and S. P. Huang, Geotechnical probabilistic analysis using collocation-based stochastic response surface method Applications of statistics and probability in civil engineering, 2007.

B. Sudret, Global sensitivity analysis using polynomial chaos expansions, Reliability Engineering & System Safety, vol.93, issue.7, pp.964-979, 2008.
DOI : 10.1016/j.ress.2007.04.002

URL : https://hal.archives-ouvertes.fr/hal-01432217

B. Sudret, M. Berveiller, and M. Lemaire, A stochastic finite element procedure for moment and reliability analysis, Revue europ??enne de m??canique num??rique, vol.15, issue.7-8, pp.7-8, 2006.
DOI : 10.3166/remn.15.825-866

Y. Abdel-massih, D. S. Soubra, and A. , Reliability-Based Analysis of Strip Footings Using Response Surface Methodology, International Journal of Geomechanics, vol.8, issue.2, pp.134-143, 2008.
DOI : 10.1061/(ASCE)1532-3641(2008)8:2(134)

URL : https://hal.archives-ouvertes.fr/hal-01008824

Y. Abdel-massih, D. S. Soubra, A. Low, and B. K. , Reliability-Based Analysis and Design of Strip Footings against Bearing Capacity Failure, Journal of Geotechnical and Geoenvironmental Engineering, vol.134, issue.7, pp.917-928, 2008.
DOI : 10.1061/(ASCE)1090-0241(2008)134:7(917)