1. Lopez-Querol, S. and Blazquez, R. Liquefaction, and cyclic mobility model for saturated granular media", International Journal for Numerical and Analytical Methods in Geomechanics, 30(5), pp. 413{439 (2006). 2. Dafalias, Y.F. Overview of constitutive model used in velacs", In Veri_cation of Numerical Procedures for the Analysis of Soil Liquefaction Problems, 2, Rotterdam, Balkema (1993). 3. Valanis, K.C. A theory of viscoplasticity without a yield surface. Part 1: General theory", Arch. Mech., 23, pp. 535{551 (1971). 4. Han, C.W and Yang, R.J. Application of the improved endochronic theory of plasticity to loading with multiaxial strain-path", International Journal of Nonlinear Mechanics, 18(5), pp. 395{408 (1983). 5. Valanis, K.C. and Read, H.E. A new endochronic plasticity model for soils", In: Soil Mechanics- Transient and Cyclic Loads, Wiley, pp. 375{417 (1982). 6. Bazant Zdenek, P. and Krizek Raymond, J. Endochronic constitutive law for liquefaction of sand", 550 A. Pak and M.A. Iranmanesh/Scientia Iranica, Transactions A: Civil Engineering 27 (2020) 541{550 Journal of The Engineering Mechanics Division, 102(2), pp. 225{238 (1976). 7. Zienkiewicz, O.C., Chang, C.T., and Hinton, E. Nonlinear seismic response and liquefaction", International Journal for Numerical and Analytical Methods in Geomechanics, 2(4), pp. 381{404 (1978). 8. Finn, W.L. and Bhatia, S.K. Endochronic theory of sand liquefaction", In Proceedings of the 7th Word Conference on Earthquake Engineering, Turkey: Istanbul (1980). 9. Blazquez, R. and Lopez-Querol, S. Generalized densi _cation law for dry sand subjected to dynamic loading", Soil Dynamics and Earthquake Engineering, 26(9), pp. 888{898 (2006). 10. Cuellar, V. Rearrangement measure theory applied to dynamic behavior of sand", PhD Thesis, Civil Engineering Department, Northwestern University, Evanston, IL, U.S.A. (1974). 11. Papadimitriou, A., Bouckovalas G., and Dafalias Y. Plasticity model for sand under small and large cyclic strains", Journal of Geotechnical and Geoenvironmental Engineering, 127(11), pp. 973{983 (2001). 12. Blazquez, R. and Lopez-Querol, S. Endochronicbased approach to the failure of the lower San Fernando dam in 1971", Journal of Geotechnical and Geoenvironmental Engineering, 133(9), pp. 1144{1153 (2007). 13. Lopez-Querol, S. and Blazquez, R. Validation of a new endochronic liquefaction model for granular soil by using centrifuge test data", Soil Dynamics and Earthquake Engineering, 27(10), pp. 920{937 (2007). 14. Chan, D. and Morgenstern, N. SAGE: a _nite element program for stress analysis in geotechnical engineering", Technical report, Geotechnical Group. The University of Alberta (1998). 15. Chan, D. PISA: Program for incremental stress analysis", User Manual, version 1.0, PISA Inc (1997). 16. Pak, A. Numerical modelling of hydraulic fracturing", Ph.D. Thesis, Department of Civil and Environmental Engineering, University of Alberta (1997). 17. Shahir, H. Dynamic analysis of saturated porous media for numerical simulation of liquefaction", M.Sc. Thesis, Department of Civil Engineering, Sharif University of Technology, Tehran, Iran (2001). 18. Rahmani, A., Ghasemi Fare, O., and Pak, A. Investigation of the inuence of permeability coe_cient on the numerical modeling of the liquefaction phenomenon", Scientia Iranica : Transactions A, 19(2), pp. 179{187 (2012). 19. Shahir, H., Pak, A., Taibeat, M., and Jeremic, B. Evaluation of variation of permeability in lique_- able soil under earthquake loading", Computers and Geotechnics, 40, pp. 74{88 (2012). 20. Biot, M.A. General theory of three dimensional consolidation", Journal of Applied Physics, 12(2), pp. 155{168 (1941). 21. Zienkiewicz, O.C. and Shiomi, T. Dynamic behavior of saturated porous media; the generalized biot formulation and its numerical solution", International Journal for Numerical Methods in Engineering, 8, pp. 71{96 (1984). 22. Katona, M.G. and Zienkiewicz, O.C. A uni_ed set of single step algorithms part 3: The beta-m method, a generalization of the newmark scheme", International Journal of Numerical Methods in Engineering, 21, pp. 1345{1359 (1985). 23. Arulanandan, K. and Sybico, J. Post liquefaction settlement of sand", In Proceeding of the Worth Memorial Symposium England, Oxford University (1992). 24. Jafarzadeh, F. and Yanagisawa, E. Settlement of sand models under unidirectional shaking", First International Conference on Earthquake Geotechnical Engineering, IS Tokyo (1995). 25. Shahir, H. and Pak, A. Estimating liquefactioninduced settlement of shallow foundations by numerical approach", Computers and Geotechnics, 37(3), pp. 267{279 (2010). 26. Arulmoli, K., Muraleetharan, K.K., Hossain, M.M., and Fruth, L.S. Velacs: Veri_cation of liquefaction analyses by centrifuge studies-laboratory testing program", Soil Data Report, Earth Technology Corporation (1992). 27. Taboada, V.M. and Dobry, R. Experimental results of model no. 1 at RPI, University of California, California Institute of Technology (1993). 28. Manzari, M.T. and Dafalias, Y.F. A critical state two-surface plasticity modelfor sands", Geotechnique, 47(2), pp. 255{272 (1997).
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