Liquefied Residual Strength of Undrained Sand upon A Parametric Approach to Hypo-elastic Model

Document Type : Research

Authors

1 Phd student,Department of Civil Engineering, College of Engineering, Tehran Science and Research Branch, Islamic Azad University, Tehran, Iran. E-mail: f.peyman@srbiau.ac.ir

2 Prof. of Civil Eng.Dept, K.N.Toosi University of Tech

Abstract

A parametric study approach evaluating drained/undrained behavior of sand has been developed as a simple/quick hypo-elastic model capable of being used in engineering applications. The volumetric interaction of sand grains behavior against pore water pressure induces the tendency of soil mass volume change to contract/dilate due to variation of effective mean stress on solid grain, pore water pressure by compressibility and shear induced dilation/compression which lead to an ideal condition for constant total volume of undrained test. However, any individual volume changes of named components may result in a partial reduction of the effective mean stress to an extent that can be disclosed as a local decrease in stress deviator. In the extreme case, the effective stress components may become so small (or even zero) resulting in complete loss of strength and cause the soil to flow in a manner resembling a liquid known as liquefaction of sand. However, in real case, any possibility of water dissipation or volumetric change tendency of components can change the state/condition to activate some shear strength by increasing the effective mean stress.
The proposed parametric study approach is able to present such volumetric variation condition leading to partial or complete liquefaction condition. This model has predicted  and verified several compression triaxial test results of sands. The verification of model is presented by comparing the obtained results with the experimental result of Nevada sand, in both drained and undrained conditions. The proposed model can be successfully used for other soils behavior by using the proposed parametric study method including the required parameters to achieve acceptable results.

Keywords


1. Arulanandan, K., Manzari, M., Zeng, X., Fagan, M., Scott, R.F. and Tan, T.S., 1995. Significance of the VELACS project to the solution of boundary value problems in geotechnical engineering.
2. Arulmori, K., Muraleetharan, K. K., Hossain, M. M., and Fruth, L.S. (1992). VELACS laboratory Testing program, Soil Data Rep., Earth Technology Corporation, Irvine, Calif.
3. Atkinson, J.H. and Bransby, P.L., 1977. The mechanics of soils, An introduction to critical state soil mechanics (No. Monograph).
4. Been, K., 1999. The critical state line and its application to soil liquefaction. Physics and.
5. Ishihara, K., 1996. Soil behaviour in earthquake geotechnics. Clarendon Press.
6. Lee, K.L. and Seed, H.B., 1967. Drained strength characteristics of sands. Journal of Soil Mechanics & Foundations Div.
7. Li, X.S. and Dafalias, Y.F., 2000. Dilatancy for cohesionless soils. Geotechnique, 50(4), pp.449-460. [DOI:10.1680/geot.2000.50.4.449]
8. Ling, H.I. and Yang, S., 2006. Unified sand model based on the critical state and generalized plasticity. Journal of Engineering Mechanics, 132(12), pp.1380-1391. [DOI:10.1061/(ASCE)0733-9399(2006)132:12(1380)]
9. Manzari, M.T. and Dafalias, Y.F., 1997. A critical state two-surface plasticity model for sands. Geotechnique, 47(2), pp.255-272. [DOI:10.1680/geot.1997.47.2.255]
10. Monkul, M.M. and Yamamuro, J.A., 2011. Influence of silt size and content on liquefaction behavior of sands. Canadian Geotechnical Journal, 48(6), pp.931-942. [DOI:10.1139/t11-001]
11. Monkul, M.M., 2010. Influence of silt size and content on static liquefaction potential of sand. Oregon State University.
12. Nova, R. and Wood, D.M., 1979. A constitutive model for sand in triaxial compression. International Journal for Numerical and Analytical Methods in Geomechanics, 3(3), pp.255-278. [DOI:10.1002/nag.1610030305]
13. Olivera Bonilla, R.R., 2004. Numerical simulations of undrained granular media.
14. Paster, M., Zienkiewicz, O.C. and Chan, A.H.C., 1990. Generalized plasticity and the modeling of soil behavior [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 14(3), pp.151-190. [DOI:10.1002/nag.1610140302]
15. RAHMAN, Z., Toll, D.G., Gallipoli, D. and Taha, M.R., 2010. Micro-structure and engineering behaviour of weakly bonded soil. Sains Malaysiana, 39(6), pp.989-997.
16. Roscoe, K.H., Schofield, A. and Wroth, C.P., 1958. On the yielding of soils. Geotechnique, 8(1), pp.22-53. [DOI:10.1680/geot.1958.8.1.22]
17. Sasiharan, N., 2006. Mechanics of dilatancy and its application to liquefaction problems (Vol. 68, No. 02).
18. Shahir, H., Pak, A., Taiebat, M. and Jeremić, B., 2012. Evaluation of variation of permeability in liquefiable soil under earthquake loading. Computers and Geotechnics, 40, pp.74-88. [DOI:10.1016/j.compgeo.2011.10.003]
19. Vaid, Y.P., Chung, E.K.F. and Kuerbis, R.H., 1990. Stress path and steady state. Canadian Geotechnical Journal, 27(1), pp.1-7. [DOI:10.1139/t90-001]
20. Verdugo, R. and Ishihara, K., 1996. The steady state of sandy soils. Soils and foundations, 36(2), pp.81-91. [DOI:10.3208/sandf.36.2_81]
21. Wan, R.G. and Guo, P.J., 2001. Effect of microstructure on undrained behaviour of sands. Canadian Geotechnical Journal, 38(1), pp.16-28. [DOI:10.1139/cgj-38-1-16]
22. Yin, Z.Y., Zhao, J. and Hicher, P.Y., 2014. A micromechanics-based model for sand-silt mixtures. International Journal of Solids and Structures, 51(6), pp.1350-1363. [DOI:10.1016/j.ijsolstr.2013.12.027]
23. Zienkiewicz, O.C., 1984. Generalized plasticity formulation and application to geomechanics. Mech. Eng. Materials, pp.655-679.