Stochastic Dynamic Reliability Analysis of Seismic Response of Soft Ground Including Silt

Abstract:

Due to the uncertainties and randomness of earthquake loads, it is more logical that reliability method should be employed in dynamic geotechnical engineering analysis. A methodology of 2-D effective stress FEM analysis based on dynamic reliability of seismic response of soft ground including silt is proposed in this paper, Duncan-Chang and Hardin-Drnevich hyperbolic models are used for static and dynamic constitutive relations of soils, respectively. Furthermore, three stochastic dynamic reliability analysis approaches based on the cumulative damage, cyclic shear stress and pore water pressure ratio are respectively suggested. The proposed methodology was applied to the stochastic dynamic reliability analysis of ground seismic response of two typical soft soil profiles in Shanghai in terms of seismic wave input depths of 50m and 280m. Basically consistent conclusions can be drawn in the three aforementioned perspectives. In addition, the filtering effect of frequency components by deeper soil layers plays perhaps an important role in dynamic reliability analysis in view of the fact that remarkable differences of dynamic reliability analysis results exist between 50m and 280m seismic wave input depths.

• Periodical: Applied Mechanics and Materials (Volumes 438-439)
• Pages: 1577-1586
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.438-439.1577
• Online since: October 2013
• Authors: Yu Chun Cao
• Keywords: Cyclic Shear Stress, Dynamic Pore Water Pressure Ratio, Liquefaction, Seismic Response, Silt, Soft Ground, Stochastic Dynamic Reliability

References

[1] G. Gazetas, Seismic response of earth dams: some recent developments, Soil Dynamics and Earthquake Engineering, 6 (1987) 2–47.

DOI: 10.1016/0267-7261(87)90008-x

[2] D. Y. Xie, Soil Dynamics, Xi'an Jiaotong University Press, Xi'an, (1988).

[3] G. Gazetas, P. Dakoulas, Seismic analysis and design of rockfill dams: state-of-the-art, Soil Dynamics and Earthquake Engineering, 11 (1992) 27–61.

DOI: 10.1016/0267-7261(92)90024-8

[4] S. L. Kramer, Geotechnical Earthquake Engineering, Prentice-Hall, Inc., Upper Saddle River, New Jersey, (1996).

[5] S. M. Wu, Soil Dynamics, China Architectural & Building Press, Beijing, (2000).

[6] J. Zhou, B. Bai, J. P. Xu, Theories and Computations in Soil Dynamics, China Architectural & Building Press, Beijing, (2001).

[7] Y. C. Cao, J. Zhou, M. S. Huang, S. M. Wu, The assessment of liquefaction potential of silt layer using seismic response analysis method, Chinese Journal of Hydraulic Engineering. 34 (2003) 69–73.

[8] E. Faccioli, A stochastic approach to soil amplification, Bulletin of the Seismological Society of America, 66 (1976) 1277–1291.

[9] G. Gazetas, A. DebChaudhury, D. A . Gasparini, Random vibration analysis for the seismic response of earth dams, Géotechnique, 31 (1981) 261–277.

DOI: 10.1680/geot.1981.31.2.261

[10] H. L. Liu, Z. Z. Lu, J. H. Qian, Nonlinear stochastic response and dynamic reliability analysis of earth and rockfill dams, Journal of Hohai University, 24 (1996) 105–109.

[11] J. H. Lin, A deterministic method for the computation of stochastic earthquake response, Earthquake Engineering and Engineering Vibration, 5 (1985) 89–94.

[12] P. Dong, J. Zhou, Dynamic reliability analysis of underground structure under soil-structure interaction, Chinese Journal of Building Structures, 25 (2004) 124–129.

[13] P. Bazzurro, C.A. Cornell, Ground-motion amplification in nonlinear soil sites with uncertain properties, Bulletin of the Seismological Society of America, 94 (2004) 2090–2109.

DOI: 10.1785/0120030215

[14] P. Bazzurro, C.A. Cornell, Nonlinear soil-site effects in probabilistic seismic-hazard analysis, Bulletin of the Seismological Society of America, 94 (2004) 2110–2123.

DOI: 10.1785/0120030216

[15] Z. J. Shi, S. S. Yu, Behavior and its field determination of silt liquefaction, Hydrogeology and Engineering Geology, (1982) 14–18.

[16] Z. J. Shi, S. S. Yu, Y. Q. Wang, S. H. Yang, Prediction of liquefaction potential of saturated clayey silt, Earthquake Engineering and Engineering Vibration, 4 (1984) 71–81.

[17] S. Prakash, J. A. Sandoval, Liquefaction of low plasticity silts, Soil Dynamics and Earthquake Engineering, 11 (1992) 373–379.

DOI: 10.1016/0267-7261(92)90001-t

[18] K. Arulanandan, R. F. Scott, Project VELACS-control test results, Journal of Geotechnical Engineering, ASCE. 119 (1993) 1276–1292.

DOI: 10.1061/(asce)0733-9410(1993)119:8(1276)

[19] S. Singh, Liquefaction characteristics of silts, Geotechnical and Geological Engineering, 14 (1996) 1–19.

[20] Y. C. Cao, Experimental Studies on Buildup Model of Pore Pressure of Silt Subjected to Cyclic Loading, Master thesis, Tongji University, Shanghai, (1999).

[21] T. Guo, S. Prakash, Liquefaction of silts and silt-clay mixtures, Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 125 (1999) 706–710.

DOI: 10.1061/(asce)1090-0241(1999)125:8(706)

[22] J. H. Hwang, C. W. Yang, Verification of critical cyclic strength curve by Taiwan Chi-Chi earthquake data, Soil Dynamics and Earthquake Engineering, 21 (2001) 237–257.

DOI: 10.1016/s0267-7261(01)00002-1

[23] J. A. Yamamuro, K. M. Covert, Monotonic and cyclic liquefaction of very loose sands with high silt content, Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 127 (2001) 314–324.

DOI: 10.1061/(asce)1090-0241(2001)127:4(314)

[24] P. Dong, Stochastic Reliability Analysis of Free Field under Earthquake Shaking, Master thesis, Tongji University, Shanghai, (1999).

[25] J. Zhou, J. F. Miao, H. L. Liu, Prediction of settlements of soft clay subjected to long-term dynamic load, China Ocean Engineering, 14 (2000) 79–88.

[26] J. M. Duncan, C. Y. Chang, Nonlinear analysis of stress and strain in soils, Journal of Soil Mechanics and Foundation Division, ASCE, 96 (1970) 1629–1653.

DOI: 10.1061/jsfeaq.0001458

[27] B. O. Hardin, V. P. Drnevich, Shear modulus and damping in soils: design equations and curves, Journal of Soil Mechanics and Foundation Division, ASCE, 98 (1972) 667–692.

DOI: 10.1061/jsfeaq.0001760

[28] A. Palmgren, The service life of ball bearings, Journal of the Association of German Engineers. 68 (1924) 339–341.

[29] M. A. Miner, Cumulative damage in fatigue, Journal of Applied Mechanics, Transactions ASME, 12 (1945) A159–A164.

DOI: 10.1115/1.4009458

[30] T. L. Youd, I. M. Idriss, R. D. Andrus, I. Arango, G. Castro, J. T. Christian, R. Dobry, W. D. L. Finn, L. F. Harder Jr., M. E. Hynes, K. Ishihara, J. P. Koester, S. S. C. Liao, W. F. Marcuson III, G. R. Martin, J. K. Mitchell, Y. Moriwaki, M. S. Power, P. K. Robertson, R. B. Seed, K. H. Stokoe II, Liquefaction resistance of soils: summary report from the 1996 NCEER and 1998 NCEER/NSF workshops on evaluation of liquefaction resistance of soils, Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 127 (2001).

DOI: 10.1061/(asce)1090-0241(2001)127:10(817)