Computational Model for Cyclic Mobility and Associated Shear Deformation
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 129, Issue 12
Abstract
In saturated clean medium-to-dense cohesionless soils, liquefaction-induced shear deformation is observed to accumulate in a cycle-by-cycle pattern (cyclic mobility). Much of the shear strain accumulation occurs rapidly during the transition from contraction to dilation (near the phase transformation surface) at a nearly constant low shear stress and effective confining pressure. Such a stress state is difficult to employ as a basis for predicting the associated magnitude of accumulated permanent shear strain. In this study, a more convenient approach is adopted in which the domain of large shear strain is directly defined by strain space parameters. The observed cyclic shear deformation is accounted for by enlargement and/or translation of this domain in deviatoric strain space. In this paper, the model formulation details involved are presented and discussed. A calibration phase is also described based on data from laboratory sample tests and dynamic centrifuge experiments (for Nevada sand at a relative density of about 40%).
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References
Anandarajah, A. (1993). “VELACS project: Elasto-plastic finite element predictions of the liquefaction behavior of centrifuge model Nos. 1, 3 and 4a.” Proc., Int. Conf. on the Verification of Numerical Procedures for the Analysis of Soil Liquefaction Problems, K. Arulanandan and R. F. Scott, eds., Balkema, Rotterdam, The Netherlands, 1, 1075–1104.
Arduino, P., Kramer, S., and Baska, D. (2001). “UW-sand: A simple constitutive model for liquefiable soils.” 2001 Mechanics and Materials Summer Conf., ASME Materials and Applied Mechanics Div., ASCE Engineering Mechanics Div., and Soc. of Engineering Science.
Arulmoli, K., Muraleetharan, K. K., Hossain, M. M., and Fruth, L. S. (1992). “VELACS: Verification of liquefaction analyses by centrifuge studies, laboratory testing program, soil data report.” Project No. 90-0562, The Earth Technology Corporation, Irvine, Calif.
Aubry, D., Benzenati, I., and Modaressi, A. (1993). “Numerical predictions for model No. 1.” Proc., Int. Conf. on the Verification of Numerical Procedures for the Analysis of Soil Liquefaction Problems, K. Arulanandan and R. F. Scott, eds., Balkema, Rotterdam, The Netherlands, 1, 45–66.
Balakrishnan, A., and Kutter, B. L.(1999). “Settlement, sliding, and liquefaction remediation of layered soil.” J. Geotech. Geoenviron. Eng., 125(11), 968–978.
Bardet, J. P., Huang, Q., and Chi, S. W. (1993). “Numerical prediction for model No. 1.” Proc., Int. Conf. on the Verification of Numerical Procedures for the Analysis of Soil Liquefaction Problems, K. Arulanandan and R. F. Scott, eds., Balkema, Rotterdam, The Netherlands, 1, 67–86.
Bazant, Z. P., and Kim, S.-S.(1979). “Plastic-fracturing theory for concrete.” J. Eng. Mech. Div., 105(3), 407–428.
Borja, R. I., Chao, H. Y., Montans, F., and Lin, C. H.(1999). “Nonlinear ground response at Lotung LSST site.” J. Geotech. Geoenviron. Eng., 125(3), 187–197.
Byrne, P. M., and McIntyre, J. (1994). “Deformations in granular soils due to cyclic loading.” Proc., Settlement 94, Geotechnical Special Publ. No. 40, ASCE, Reston, Va., 1864–1896.
Casagrande, A.(1936). “Characteristics of cohesionless soils affecting the stability of earth fills.” J. Boston Soc. Civ. Eng., 23, 13–33.
Casagrande, A. (1975). “Liquefaction and cyclic deformation of sands—A critical review.” Proc., 5th Pan-American Conf. on Soil Mechanics and Foundation Engineering, also published as Harvard soil mechanics series No. 88, January, 1976, Harvard Univ., Cambridge, Mass.
Castro, G. (1969). “Liquefaction of sands.” Harvard soil mechanics series No. 81, Harvard Univ., Cambridge, Mass.
Chan, A. H. C. (1988). “A unified finite element solution to static and dynamic problems in geomechanics.” PhD dissertation, Univ. College of Swansea, Swansea, U.K.
Chen, W. F., and Mizuno, E. (1990). Nonlinear analysis in soil mechanics, theory and implementation, Elsevier, New York.
Cubrinovski, M., and Ishihara, K.(1998a). “Modeling of sand behavior based on state concept.” Soils Found., 38(3), 115–127.
Cubrinovski, M., and Ishihara, K.(1998b). “State concept and modified elastoplasticity for sand modeling.” Soils Found., 38(4), 213–225.
Dafalias, Y. F., and Manzari, M. T. (1999). “Modeling of fabric effect on the cyclic loading response of granular soils.” Proc., 13th ASCE Engineering Mechanics Conf., ASCE, Reston, Va.
Dobry, R., and Abdoun, T. (1998). “Posttriggering response of liquefied sand in the free field and near foundations.” Proc., Geotechnical Earthquake Engineering and Soil Dynamics III, P. Dakoulas, M. Yegian, and R. D. Holtz, eds., ASCE Geotechnical Special Publ. No. 75, Vol. 2, ASCE, Reston, Va., 270–300.
Dobry, R., and Taboada, V. M. (1994). “Possible lessons from VELACS model No. 2 results.” Proc., Int. Conf. on Verification of Numerical Procedures for the Analysis of Soil Liquefaction Problems, K. Arulanandan and R. F. Scott, eds., Balkema, Rotterdam, The Netherlands, 2, 1341–1352.
Dobry, R., Taboada, V., and Liu, L. (1995). “Centrifuge modeling of liquefaction effects during earthquakes.” Keynote Lecture, Proc., 1st Int. Conf. on Earthquake Geotechnical Engineering (IS-Tokyo), K. Ishihara, ed., Balkema, Rotterdam, The Netherlands, 3, 1291–1324.
Duncan, J. M., and Chang, C. Y.(1970). “Nonlinear analysis of stress and strain in soils.” J. Soil Mech. Found. Div., 96(5), 1629–1653.
Hill, R. (1950). The mathematical theory of plasticity, Oxford University Press, London.
Iai, S. (1991). “A strain space multiple mechanism model for cyclic behavior of sand and its application.” Earthquake Engineering Research Note No. 43, Port and Harbor Research Institute, Ministry of Transport, Japan.
Iai, S. (1998). “Seismic analysis and performance of retaining structures.” Proc., Geotechnical Earthquake Engineering and Soil Dynamics III, P. Dakoulas, M. Yegian, and R. D. Holtz, eds., Geotechnical Special Publ. No. 75, Vol. 2, ASCE, Reston, Va., 1020–1044.
Ibsen, L. B.(1994). “The stable state in cyclic triaxial testing on sand.” Soil Dyn. Earthquake Eng., 13, 63–72.
Ishihara, K., Tatsuoka, F., and Yasuda, S.(1975). “Undrained deformation and liquefaction of sand under cyclic stresses.” Soils Found., 15(1), 29–44.
Iwan, W. D.(1967). “On a class of models for the yielding behavior of continuous and composite systems.” J. Appl. Mech., 34, 612–617.
Jefferies, M. G.(1993). “Nor-sand: A simple critical state model for sand.” Geotechnique, 43(1), 91–103.
Kabilamany, K., and Ishihara, K.(1990). “Stress dilatancy and hardening laws for rigid granular model of sand.” Soil Dyn. Earthquake Eng., 9(2), 66–77.
Kondner, R. L.(1963). “Hyperbolic stress–strain response: Cohesive soils.” J. Soil Mech. Found. Div., 89(1), 115–143.
Kramer, S. L. (1996). Geotechnical earthquake engineering, Prentice–Hall, Upper Saddle River, N.J.
Lacy, S. (1986). “Numerical procedures for nonlinear transient analysis of two-phase soil system.” PhD dissertation, Princeton Univ., Princeton, N.J.
Ladd, C. C., Foott, R., Ishihara, K., Schlosser, F., and Poulos, H. G. (1977). “Stress-deformation and strength characteristics.” State-of-the-Art Report, Proc., 9th Int. Conf. on Soil Mechanics and Foundation Engineering, Japanese Society of Soil Mechanics and Foundation Engineering, Tokyo, 2, 421–494.
Lambe, T. W., and Whitman, R. V. (1969). Soil mechanics, Wiley, New York.
Li, X. S., and Dafalias, Y. F.(2000). “Dilatancy for cohesionless soils.” Geotechnique, 50(4), 449–460.
Li, X. S., Ming, H. Y., and Cai, Z. Y. (2000). “Constitutive modeling of flow liquefaction and cyclic mobility.” Computer simulation of earthquake effects, K. Arulanandan, A. Anandarajah, and X. S. Li, eds., ASCE Geotechnical Special Publ. No. 110, ASCE, Reston, Va., 81–98.
Manzari, M. T., and Dafalias, Y. F.(1997). “A critical state two-surface plasticity model for sands.” Geotechnique, 49(2), 252–272.
Mroz, Z.(1967). “On the description of anisotropic work hardening.” J. Mech. Phys. Solids, 15, 163–175.
Muraleetharan, K. K., Mish, K. D., and Arulanandan, K.(1994). “A fully coupled nonlinear dynamic analysis procedure and its verification using centrifuge test results.” Int. J. Numer. Analyt. Meth. Geomech., 18, 305–325.
National Research Council. (1985). “Liquefaction of soils during earthquakes.” Report, Committee on Earthquake Engineering, National Research Council, National Academies Press, Washington, D.C.
Nemat-Nasser, S., and Tobita, Y.(1982). “Influence of fabric on liquefaction and densification potential of cohesionless sand.” Mech. Mater., 1, 43–62.
Papadimitriou, A. G., Bouckovalas, G. D., and Dafalias, Y. F.(2001). “Plasticity model for sand under small and large cyclic strains.” J. Geotech. Geoenviron. Eng., 127(11), 973–983.
Parra, E. (1996). “Numerical modeling of liquefaction and lateral ground deformation including cyclic mobility and dilation response in soil systems.” PhD thesis, Dept. of Civil Engineering, Rensselaer Polytechnic Inst., Troy, N.Y.
Pastor, M., and Zienkiewicz, O. C. (1986). “A generalized plasticity hierarchical model for sand under monotonic and cyclic loading.” Proc., 2nd Int. Symp. on Numerical Models in Geomechanics, G. N. Pande and W. F. Van Impe, eds., Jackson and Son, Ghent, Belgium, 131–150.
Prevost, J. H.(1985). “A simple plasticity theory for frictional cohesionless soils.” Soil Dyn. Earthquake Eng., 4(1), 9–17.
Proubet, J. (1991). “Application of computational geomechanics to description of soil behavior.” PhD dissertation, Univ. of Southern California, Los Angeles.
Seed, H. B.(1979). “Soil liquefaction and cyclic mobility evaluation for level ground during earthquakes.” J. Geotech. Eng., 105(2), 201–255.
Seed, H. B., and Lee, K. L.(1966). “Liquefaction of saturated sands during cyclic loading.” J. Soil Mech. Found. Div., 92(6), 105–134.
Sture, S., Costes, N. C., Batiste, S. N., Lankton, M. R., Al Shibli, K. A., Jeremic, B., Swanson, R. A., and Frank, M.(1998). “Mechanics of granular materials at low effective stresses.” J. Aerosp. Eng., 11(3), 67–72.
Taboada, V. M. (1995). “Centrifuge modeling of earthquake-induced lateral spreading in sand using a laminar box.” PhD thesis, Rensselaer Polytechnic Institute, Troy, N.Y.
Tateishi, A., Taguchi, Y., Oka, F., and Yashima, A. (1995). “A cyclic elasto-plastic model for sand and its application under various stress conditions.” Proc., 1st Int. Conf. on Earthquake Geotechnical Engineering, Balkema, Rotterdam, The Netherlands, 1, 399–404.
Wang, Z. L., Dafalias, Y. F., and Shen, C. K.(1990). “Bounding surface hypoplasticity model for sand.” J. Eng. Mech., 116(5), 983–1001.
Yang, Z. (2000). “Numerical modeling of earthquake site response including dilation and liquefaction.” PhD dissertation, Dept. of Civil Engineering and Engineering Mechanics, Columbia University, New York.
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Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 129 • Issue 12 • December 2003
Pages: 1119 - 1127
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: Jun 22, 2000
Accepted: Feb 24, 2003
Published online: Nov 14, 2003
Published in print: Dec 2003
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