Deduction and experimental investigation of constitutive relation of liquefaction of saturated sand

Abstract

According to the existing problems of liquefaction models of saturated sand that were put forward under dynamic action, on the basis of Handin-Drnevich model, a new calculating model of the dynamic constitutive relation of saturated sand was put forward. The model was based on the basic hypothesis of instantaneous limit balance according to the basic principle that the stress estate is the destroyed condition was not overstepped. The calculated method of increment nonlinear was referenced and combined with the excellence of the model of distributed particles. The process of vibrating liquefaction of saturated sand was divided into some areas. And the phenomena of shearing dilatation and unloading shrink of saturated sand were considered. On above basic a new calculating constitutive relation model was proposed. There are a few parameters in the model. The physical means of the parameters are very evident and quantized. They could be obtained from the dynamic triaxial test in door. The model was contrasted and validated with the results of the dynamic triaxial test in door. The comparison of the results of the dynamic triaxial test in door and the calculating results of the model indicates that all sorts of phenomenon appearing in the process of liquefaction of saturated sand could be more perfectly reflected by the model. Especially at the initial stage of development of pore water pressure and strain of saturated sand, the results of the dynamic triaxial test in door are consistent with the calculated results of the model very much. But there is some difference between the results at the anaphase of development of pore water pressure and strain. On the path of stress, the calculating and experimenting ultimate state surfaces are almost identical.

Keywords

sand liquefaction / dynamics / constitutive relation / dynamic triaxial test

References

[1] MrozZ., ZienkiewicsO. C.. An anisotropic critical state model for soils subjected to cyclic loading [J]. Geotechnique, 1981, 31(4): 451-470

[2] PASTOR M, ZIENKIEWICS O C, CHEN H C. Generalized plasticity and modeling of soil behavior [J]. Inter Tran of Nume Anal Methods in Geotechnics, 1990(2): 151–190.

[3] ZhangJ.-m., WangGang.. Mechanism of large post-liquefaction deformation in saturated sand [J]. Chinese Journal of Geotechnical Engineering, 2006, 28(7): 33-38

[4] WangG., ZhangJ.-min.. Numerical modeling of liquefaction-induced deformation in sand [J]. Chinese Journal of Geotechnical Engineering, 2007, 29(3): 96-102

[5] ShenZ.-jiang.. A granular medium model for liquefaction analysis of sands [J]. Chinese Journal of Geotechnical Engineering, 1999, 21(6): 742-748

[6] WANG Gang, ZHANG Jian-min. Recent advances in seismic liquefaction research [J]. Advances in Mechanics, 2007(4): 97–111. (in Chinese)

[7] ShenZ.-jiang.. Critical review and reconstitution of constitutive theory of sands [C]. The 6th Conference of Numerical Analysis and Analytic Method of Soil Mechanics, 1998, Guangzhou, Guangdong Press of Science and Technology: 16-23

[8] GuoS.-b., WangM.-y., QianQ.-hu.. Study on characteristics of explosion liquefaction of saturated sandy soil [J]. Rock and Soil Mechanics, 2007, 28(3): 427-435

[9] CarterJ. P., BookerJ. R., WrothuC. P.PandeG. N., ZienkiewicsO. C.. A critical state soil model for cyclic loading [C]. Soil Mechanics-Transient and Cyclic Loadings, 1982, London, John Wiley and Son: 35-62

[10] XieD.-y., ZhangJ.-ming.. Research on transient change mechanism of pore water pressure in saturated sand under cyclic loading [J]. China Civil Engineering Journal, 1990, 23(2): 51-60

[11] LiuY., ZhouJ., FuJ.-xin.. Fluid-particle coupled model for saturated sand and its application to liquefaction analysis [J]. Journal of Hydraulic Engineering, 2009, 40(2): 250-256

[12] ZhouJ., YangY.-x., LiuYang.. Model testing of meso-fabric of saturated sand liquefaction [J]. Journal of Tongji University: Natural Science, 2009, 37(4): 466-470

[13] WangY.-l., WangYong.. Experimental study on evolutionary characteristics of dynamic pore water pressure of saturated sands [J]. Journal of Tongji University: Natural Science, 2009, 37(12): 1603-1607

[14] ShaoS.-j., XieD.-yi.. Research on dynamic behaviours and its application approach of saturated sands [J]. Journal of Xi’an University of Technology, 1999, 15(3): 34-38

[15] QIU Chang-lin, YAN Shu-wang. A universal elastoplastic model of saturated sands under cyclic loading [J]. Journal of Hydraulic Engineering, 1998(12): 42–46. (in Chinese)

[16] FengT.-g., LiuH.-l., GaoY.-f., FeiKang.. Seismic response characteristic of horizontal layer [J]. Journal of PLA University of Science and Technology: Natural Science Edition, 2009, 10(S1): 74-79

[17] LiJ.-k., ZhangQ.-hui.. The effects of lode’s angle of stress on pore pressure development [J]. Chinese Journal of Geotechnical Engineering, 1994, 16(7): 17-21

[18] WuD.-l., ZhangJ.-hua.. A weighted absorbing boundary for wave propagation in porous elastic media [J]. Journal of Hydraulic Engineering, 1997, 19(4): 57-63