An Investigation into Nonlinearity of Foundation Soil of Gravity Retaining Wall Based on an Inversion Method

Abstract:

Strong earthquake ground motion leads to residual displacements of gravity retaining walls. Since large deformation occurs in foundation soil, nonlinear mechanical behavior should not be neglected in numerical modeling. The inversion methodology in geophysics is borrowed here to study the nonlinearity, i.e. the variation of shear modulus and damping ratio with the increase of shear strain of soil. A simplified model for the seismic displacement of retaining walls is combined with a genetic algorithm for the inversion. The dynamic shear modulus and damping ratio curves, representing the nonlinear property of foundation soil in a centrifuge test for gravity retaining walls, is obtained by the use of an inversion scheme. The result indicates that, for low level of shear strain, the shear modulus is larger than that used in the literature, implying that the model ground may be stiffer than expectation. For high level of shear strain, the inverted damping ratio is larger than the conventional one, which has efficiently suppressed an overestimation of seismic displacements. It is also displayed that the inversion method is an effective way to obtain quantitatively the dynamic nonlinearity of foundation soil of gravity retaining walls.

• Periodical: Applied Mechanics and Materials (Volumes 204-208)
• Pages: 557-561
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.204-208.557
• Online since: October 2012
• Authors: Hong Yan Xi, Jun Hua Zhang, Jing Sun, Jing Li, You Qing Wang, Xian Mai Chen, Fu Tong Wang
• Keywords: Earthquake, Gravity Retaining Wall, Inversion, Nonlinearity, Residual Displacement

References

[1] China Earthquake Investigation Group: Investigation of the Great Hanshin Earthquake (Seismological Press, China, 1995), in Chinese

[2] C.C. Huang, Y.H. Chen: J Geotech Geoenviron. Vol. 130 (2004), pp.45-57

[3] C.C. Huang: J Geotech Geoenviron. Vol. 131 (2005), pp.1108-1117

[4] X. Zeng: J Geotech Geoenviron. Vol. 124 (1998), pp.0406-0417.

[5] K.M. Newmark: Geotechnique. Vol. 15 (1965), pp.139-160

[6] X. Zeng, R.S. Steedman: J Geotech Geoenviron. Vol. 126 (2000), pp.709-717

[7] E.A. Rafnsson, S. Prakash: Stiffness and damping parameters for dynamic analysis of retaining walls. In: Proceeding of 2nd International Conference on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics, edited by S. Prakash, St. Louis (1991), pp.1943-1952

[8] Y.W. Wu, S. Prakash: Seismic displacement of rigid retaining walls on submergence. In: Proceeding of the 12th World Conference on Earthquake Engineering, edited by New Zealand Society for Earthquake Engineering, Auckland. New Zealand (2000), Paper No. 0562

DOI: 10.5459/bnzsee.33.3.177-186

[9] F.T. Wang, X.X. Tao: J HIT. Vol. 16, Sup. 1 (2009), pp.139-142

[10] X.L. Chen, X.X. Tao: Analytical solution for seismic earth pressure of retaining wall with cohesive backfill. In: Recent Advances in Earthquake Engineering, edited by Y.Y. Wang, A.Q. Li and J. Cui, Southeast University Press, China, Nanjing (2002), pp.66-77, in Chinese

[11] H.B. Seed, I.M. Idriss: Soil Moduli and Damping Factors for Dynamic Response Analysis. Report of the Earthquake Engineering Research Center, No. EERC 70-10 (1970)

[12] H.B. Seed, R.T. Wong, I.M. Idriss, K. Tokimatsu: J Geot. Engrg. Vol. 112 (1986), pp.1016-1032

[13] M. Vucetic, R. Dobry: J Geot. Engrg. Vol. 117 (1991), pp.89-107

[14] L.I. Todorovski: An experimental study on the kinetics of a free standing retaining wall under seismic excitation. (Doctoral Dissertation of A&M University, USA, 1999)

[15] E.A. Rafnsson, S. Prakash: Stiffness and damping parameters for dynamic analysis of retaining walls. In: Proceeding of 12th World Conference on Earthquake Engineering, edited by S. Prakash, Philippines (2000), pp.1943-1952

[16] J. Sun, X.M. Yuan: Rock Soil Mech. Vol. 28 (2007), pp.443-454, in Chinese

[17] J. Sun, X.M. Yuan: Rock Soil Mech. Vol. 31 (2010), pp.1457-1468, in Chinese

[18] F.T. Wang, X.X. Tao, X. Zheng: Sci China Tech Sci. Vol. 55 (2012), pp.950-959