Effective Stress Analysis of Seismic Response and Liquefaction: Theory
Publication: Journal of Geotechnical Engineering
Volume 110, Issue 5
Abstract
An effective stress method is presented for analysis of seismic response and liquefaction of horizontally layered saturated sand deposits, based on solution of the fully coupled equations for the granular solid and the pore fluid. A new material model for hysteretic behavior of sands and a new effective stress path rule are presented. The shear modulus reduction and damping of the proposed model are compared with other experimentally based relations. The proposed effective stress analysis method is used to simulate shaking table tests, with results in reasonably good agreement with experimental results. The proposed method of analysis is compared with a number of other well‐known methods.
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References
1.
Castro, G., “Liquefaction of Sands,” Harvard Soil Mechanics Series No. 81, Cambridge, Mass., 1969.
2.
De Alba, P., Chan, C. K., and Seed, H. B., “Determination of Soil Liquefaction Characteristics by Large‐Scale Laboratory Tests,” Report No. EERC 75‐14, Earthquake Engineering Research Center, Univ. of California, Berkeley, May, 1975.
3.
Dikmen, S. U., “Seismic Response and Liquefaction of Saturated Sands,” thesis presented to the University of Illinois at Urbana‐Champaign, Urbana, Ill., in 1980, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
4.
Edil, T. B., and Luh, G., “Dynamic Modulus and Damping Relationships for Sands,” Proceedings of the ASCE Geotechnical Engineering Division Specialty Conference on Earthquake Engineering and Soil Dynamics, Pasadena, Calif., 1978.
5.
Finn, W. D. L., Lee, K. W., and Martin, G. R., “An Effective Stress Model for Liquefaction,” ASCE Annual Convention and Exposition, Philadelphia, Pa., 1976.
6.
Finn, W. D. L., Lee, K. W., and Martin, G. R., “An Effective Stress Model for Liquefaction,” Journal of the Geotechnical Division, ASCE, Vol. 103, No. GT6, June, 1977, pp. 517–533.
7.
Finn, W. D. L., Martin, G. R., and Lee, M. K. W., “Comparison of Dynamic Analyses for Saturated Sands,” Proceedings of the ASCE Geotechnical Engineering Division Specialty Conference on Earthquake Engineering and Soil Dynamics, Pasadena, Calif., 1978.
8.
Ghaboussi, J., and Wilson, E. L., “Variational Formulation of Dynamics of Fluid Saturated Porous Elastic Solids,” Journal of the Engineering Mechanics Division, ASCE, Vol. 98, No. EM4, Aug., 1972.
9.
Ghaboussi, J., and Wilson, E. L., “Flow of Compressible Fluid in Porous Elastic Media,” International Journal for Numerical Methods in Engineering, Vol. 5, No. 3, 1973.
10.
Ghaboussi, J., and Wilson, E. L., “Seismic Analysis of Earth Dam‐Reservoir Systems,” Journal of the Soil Mechanics and Foundation Division, ASCE, Vol. 99, No. SM10, Oct., 1973.
11.
Ghaboussi, J., and Wilson, E. L., “Liquefaction Analysis of Saturated Granular Soils,” Proceedings, Fifth World Conference on Earthquake Engineering, Rome, Italy, 1973.
12.
Ghaboussi, J., and Dikmen, S. U., “LASS‐II, Computer Program for Analysis of Seismic Response and Liquefaction of Horizontally Layered Sands,” Report No. UILU‐ENG‐77‐2010, Dept. of Civ. Engrg., Univ. of Illinois at Urbana‐Champaign, Urbana, Ill., 1977.
13.
Ghaboussi, J., and Dikman, S. U., “Liquefaction Analysis of Horizontally Layered Sands,” Journal of the Geotechnical Engineering Division, ASCE, Vol. 104, No. GT3, 1978.
14.
Ghaboussi, J., and Momen, H., “Plasticity Model for Cyclic Behavior of Sands,” Proceedings, Third International Conference on Numerical Methods in Geomechanics, Aachen, 1979.
15.
Ghaboussi, J., and Dikmen, S. U., “LASS‐III, Computer Program for Seismic Response and Liquefaction of Layered Ground under Multi‐Directional Shaking,” Report No. UILU‐ENG‐79‐2012, Dept. of Civ. Engrg., Univ. of Illinois at Urbana‐Champaign, Urbana, Ill., 1979.
16.
Ghaboussi, J., and Dikmen, S. U., “Liquefaction Analysis for Multi‐Directional Shaking,” Journal of the Geotechnical Engineering Division, ASCE, Vol. 107, No. GT5, 1981.
17.
Ghaboussi, J., and Momen, H., “Modelling and Analysis of Cyclic Behavior of Sands,” Chapter 12, Soil Mechanics‐Cyclic and Transient Loading, G. N. Pande and O. C. Zienkiewicz, eds., John Wiley and Sons, Inc., New York, N.Y., 1982, pp. 313–342.
18.
Hardin, B. O., and Drnevich, V. P., “Shear Modulus and Damping in Soils: Measurement and Parameter Effects,” Journal of the Soil Mechanics and Foundation Engineering Division, ASCE, Vol. 98, No. SM6, 1972, pp. 603–624.
19.
Hardin, B. O., and Drnevich, V. P., “Shear Modulus and Damping in Soils: Design Equations and Curves,” Journal of the Soil Mechanics and Foundation Engineering Division, ASCE, Vol. 98, No. SM7, 1972, pp. 667–692.
20.
Ishihara, K., Tatsuoka, F., and Yasuda, S., “Undrained Deformation and Liquefaction of Sand Under Cyclic Stresses,” Soils and Foundations, Vol. 15, No. 1, Mar., 1975.
21.
Iwasaki, T., Tatsuoka, F., and Takagi, Y., “Shear Moduli of Sands Under Cyclic Torsional Shear Loading,” Soils and Foundations, Vol. 18, No. 1, 1978, pp. 39–56.
22.
Khosla, V. K., and Wu, J. H., “Stress‐Strain Behavior of Sand,” Journal of the Geotechnical Engineering Division, ASCE, Vol. 102, No. GT4, 1976.
23.
Liou, C. P., Streeter, V. L., and Richart, F. E., Jr. “A Numerical Model for Liquefaction,” ASCE Annual Convention and Exposition, Philadelphia, Pa., 1976.
24.
Martin, P. P., “Nonlinear Methods for Dynamic Analysis of Ground Response,” thesis presented to the University of California, at Berkeley, Calif., in 1975, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
25.
Martin, P. P., “A Computer Program for the Nonlinear Analysis of Vertically Propagating Shear Waves in Horizontally Layered Deposits,” EERC Report 78‐23, College of Engrg., Univ. of California, Berkeley, Calif., 1978.
26.
Martin, P. P., and Seed, H. B., “APOLLO, A Computer Program for the Analysis of Pore Pressure Generation and Dissipation in Horizontal Sand Layers During Cyclic or Earthquake Loading,” EERC Report 78‐21, College of Engrg., Univ. of California, Berkeley, Calif., 1978.
27.
Masing, G., “Eigenspannungen und Verfestigung bein Messing,” Proceedings, Second International Congress of Applied Mechanics, 1926, pp. 332–335.
28.
Oh‐Aki, H., “Drained and Undrained Stress‐Strain Behavior of Sands Subjected to Cyclic Shear Stress under Nearly Plane‐Strain Conditions,” Soils and Foundations, Vol. 16, No. 3, 1976, pp. 19–32.
29.
Pyke, R. M., “Settlement and Liquefaction of Sands under Multi‐directional Loading,” thesis presented to the University of California, at Berkeley, Calif., in 1973, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
30.
Pyke, R. M., “Nonlinear Soil Model for Irregular Cyclic Loadings,” Journal of the Geotechnical Engineering Division, ASCE, Vol. 105, No. GT6, 1979, pp. 715–726.
31.
Schnabel, Per B., Lysmer, J., and Seed, H. B., “SHAKE, A Computer Program for Earthquake Response Analysis of Horizontally Layered Sites,” EERC Report 72‐12, College of Engrg., Univ. of California, Berkeley, Calif., 1972.
32.
Seed, H. B., and Idriss, I. M., “Analysis of Soil Liquefaction: Niigata Earthquake,” Journal of the Soil Mechanics and Foundations Division, ASCE, Vol. 93, No. SM3, 1967.
33.
Seed, H. B., and Idriss, I. M., “Shear Moduli and Damping Factors for Dynamic Response Analysis,” Report No. EERC‐70‐10, Univ. of California, Berkeley, Calif., 1970.
34.
Sherif, M. A., and Ishibashi, I., “Dynamic Shear Moduli for Dry Sands,” Journal of the Geotechnical Engineering Division, ASCE, Vol. 102, No. GT11, 1976, pp. 1171–1184.
35.
Shibata, T., and Soelarno, D. S., “Stress‐Strain Characteristics of Sands under Cyclic Loading,” Proceedings, Japanese Society of Civil Engineers, No. 239, 1975, pp. 57–65.
36.
Streeter, V. L., Wylie, E. B., and Richart, F. E., Jr., “Soil Motion Computation by Characteristics Method,” Journal of the Geotechnical Engineering Division, ASCE, Vol. 100, No. GT3, 1974.
37.
Tatsuoka, F., and Ishihara, K., “Stress Path and Dilatancy of Sand,” Proceedings, 8th ICSMFE, Moscow, Vol. 1, 1973, pp. 419–424.
Information & Authors
Information
Published In
Journal of Geotechnical Engineering
Volume 110 • Issue 5 • May 1984
Pages: 628 - 644
Copyright
Copyright © 1984 ASCE.
History
Published online: May 1, 1984
Published in print: May 1984
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