Four-parameter prediction model and its FE realization for dynamic resilient modulus of subgrade compacted silty clay

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (9) : 61-67.

DONG Cheng1, 2，LIU Wen-jie1, 2，LI Liang 2

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Abstract

The factors affecting dynamic resilient modulus of subgrade compacted silty clay were investigated with dynamic tri-axis tests to analyze the dependency of dynamic resilient modulus on deviator stress and body stress. Through the two-factor regression analysis, an improved prediction model with four parameters was proposed by introducing k4 on the basis of AASHTO-N37A dynamic resilient modulus prediction model. In order to apply the improved model in finite element calculation, the accurate consistent tangent stiffness matrix of this model was derived based on the general Hooke law. The improved model was transplanted into the FE software ABAQUS by compiling the user material subroutine (UMAT), the computation validation was made under conditions of a single soil element and a subgrade-pavement structure. The results showed that the four-parameter improved model can better predict the dynamic resilient modulus of silty clay under different compaction levels; the soil body element’s stress-strain relation calculated with the improved model developed secondarily agreed well with the analytical solution; the improved model being applied in the analysis of subgrade-pavement structure can reflect differences of the dynamic resilient modulus at different locations of subgrade due to different stresses, and also reflect evolution of the dynamic resilient modulus under vehicle loading to realize the dynamic coupling between stress states and dynamic resilient modulus. The study provided a more actual numerical simulation method for design of subgrade-pavement structures.

Key words

subgrade / silty clay / dynamic resilient modulus / prediction model / consistent tangent stiffness matrix / finite element (FE) realization

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DONG Cheng1, 2，LIU Wen-jie1, 2，LI Liang 2. Four-parameter prediction model and its FE realization for dynamic resilient modulus of subgrade compacted silty clay[J]. Journal of Vibration and Shock, 2018, 37(9): 61-67

References

[1] 罗志刚. 路基与粒料层动态模量参数研究[D].上海:同济大学, 2007
[2] 邓学钧.路基路面工程[M].北京:人民交通出版社,2010.
[3] 曹海莹,朱毅,刘云飞,等. 车辆荷载作用下双层路基层间动应力响应试验研究[J]. 振动与冲击, 2017, 36(5): 6-10.
CAO Hai-ying,ZHU Yi,LIU Yun-fei,et al. Testing research on dynamic stress response at interlayer of two-layer roadbed under vehicle load. Journal of Vibration and Shock, 2017, 36(5): 6-10.
[4] Uzan J. Characterization of granular material[C]. Proceedings Transportation Research Record 1022, Washington,1985: 52-59.
[5] Ni B, Hopkins TC, Sun L, et al. Modeling the resilient modulus of soils [C]. Proceedings of the 6th International Conference on the Bearing Capacity of Roads, Railways and Airfields. Lisbon: 2002, (2),1131-1142.
[6] Andrei D, Witczak MW, Schwartz CW, et al. Harmonized resilient modulus test method for unbound pavement materials[CD-ROM]. 83rd Annual Meeting of Transportation Research Board, 2004.
[7] 陈声凯,凌建明,罗志刚. 路基土回弹模量应力依赖性分析及预估模型[J].土木工程学报, 2007, 40(6): 95-99.
CHEN Sheng-kai, LING Jian-ming, LUO Zhi-gang.Stress-dependent characteristics and prediction model of
the resilient modulus of subgrade soils[J]. China Civil Engineering Journal, 2007, 40(6): 95-99.
[8] 凌建明,苏华才,谢华昌,等. 路基土动态回弹模量的试验研究[J]. 地下空间与工程学报,2010,6(5): 919-925.
LING Jian-ming, SU Hua-cai, XIE Hua-chang, et al. Library research on dynamic resilient modulus of subgrade soil[J]. Chinese Journal of Underground Space and Engineering, 2010,6(5): 919-925.
[9] 中华人民共和国交通运输部.JTG D30-2015,公路路基设计规范[S].北京:人民交通出版社,2015.
[10] Witczak M W,Uzan J. The universal airport pavement design system[R]. Report I of V: Granular Material Characterization, Department of Civil Engineering, University of Maryland, College Park, Md., 1988.
[11] 董城.路基土动态回弹模量与临界动应力及路基路面性能研究[D].长沙:中南大学,2014.
[12] Tommy C, Hopkins, Tony L, et al. Resilient modulus of Kentucky solis[R]. Lexington: University of Kentucky, 2004:57-64.
[13] 刘明. 线性回归模型的统计检验关系辨析[J]. 统计与信息论坛, 2011, 26(4): 21-24.
LIU Ming. Analysis of the relationship among the statistical tests on linear regression model[J]. Statistics & Information Forum,2011, 26(4): 21-24.
[14] 费康,张建伟.ABAQUS在岩土工程中的应用[M].北京:中国水利水电出版社,2010.
[15] 王仕传.路床加筋力学行为与设计方法的研究[D].上海:同济大学,2007.