American Journal of Civil Engineering

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Improved Prediction Model for Dynamic Resilient Modulus of Subgrade Silty Clay in Eastern Hunan and Its Relevant Finite Element Method Implementation

Received: 30 January 2018    Accepted:     Published: 3 February 2018
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Abstract

With the enhancement of transportation speed and axle load, dynamic response of subgrade increases significantly. In order to improve the calculation accuracy of subgrade response under complex stress state, it is necessary to use dynamic indicators instead of static indicators in calculative process. For the sake of investigating the influence factor of dynamic resilient modulus of subgrade silty clay in Eastern Hunan, resilient modulus tests were carried out by conducting repeated load tri-axial tests. Based on available model, an improved resilient modulus prediction model considering four parameters was proposed by introducing k4. Corresponding accurate consistent tangent stiffness matrix was derived. Afterward, the improved model was implemented into finite element method software and verification work was put forward both on single element and pavement-subgrade structure. Finally, calculated results were compared with in-site measured results. Study achievements demonstrate that the improved model exhibits a higher precision and efficiency on single element because k4 can better adjust the affecting proportion of octahedral shear stress. When applied to analysis on pavement-subgrade structure, the improved model can reflect subgrade resilient modulus distribution and evolution more factually. In addition, numerical calculated result nearly coincides with measured results, which shows the application value of the improved model.

DOI 10.11648/j.ajce.20180601.18
Published in American Journal of Civil Engineering (Volume 6, Issue 1, January 2018)
Page(s) 44-54
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Silty Clay, Dynamic Resilient Modulus, Prediction Model, Consistent Tangent Stiffness Matrix, Finite Element Method

References
[1] Hossein N, Cyrille C, Maria IA, Pierre H, Farimah M. Unsaturated resilient behavior of a natural compacted sand. J Computers and Geotechnics, 2011; 38 (1): 491-503.
[2] Li ZY, Dong C, Zou JR. Research on experiment and prediction model of dynamic resilient modulus of laterite soil in Southern Hunan. J Rock and Soil Mechanics, 2015; 36 (7): 1840-1846. (in Chinese).
[3] Ni B, Hopkins TC, Sun L. Modeling the resilient modulus of soils. Proceedings of the 6th International Conference on the Bearing Capacity of Roads, Railways and Airfields. Lisbon; 2002, p. 1131-1142.
[4] Andrei D, Witczak MW, Schwartz CW. Harmonized resilient modulus test method for unbound pavement materials. 83rd Annual Meeting of Transportation Research Board; 2004.
[5] Fortunato E, Pinelo A, Fernandes MM. Characterization of the fouled ballast layer in the substructure of a 19th century rail way track under renewal. J Soils Found, 2010; 50 (1): 55-62.
[6] Youngji J, Bin Y, Feng Z. Numerical simulation of sand subjected to cyclic load under undrained conventional Tri-axial test. J Soils Found, 2010; 50 (2): 177-194.
[7] Trinh VN, Tang AM, Cui YJ, Dupla JC, Canou J, Calon N, Lambert L, Robinet A, Schoen O. Mechanical characterization of the fouled ballast in an client railway track substructure by large-scale Tri-axial tests. J Soils Found, 2012; 52 (3): 511-523.
[8] Inam A, Ishikawa T, Miura S. Effect of principal stress axis rotation on cyclic plastic deformation characteristics of unsaturated base course material. J Soils Found, 2012; 52 (3): 465-480.
[9] Puppala AJ. Estimating stiffness of subgrade and unbound materials for pavement design, NCHRP Synthesis 382, Transportation Research Board, National Research Council, Washington, D. C; 2007.
[10] Uzan J. Characterization of granular material. Proceedings Transportation Research Record 1022 Washington; 1985, p. 52-59.
[11] Witczak MW, Uzan J. The universal airport pavement design system. Report I of V: Granular Material Characterization, Department of Civil Engineering, University of Maryland, College Park, Md; 1988.
[12] Chen SK, Ling JM, Luo ZG. Stress-dependent characteristics and prediction model of the resilient modulus of subgrade soils. J China Civil Engineering Journal, 2007; 40 (6): 95-99. (in Chinese).
[13] Allou F, Chazallon C, Hornych P. A numerical model for flexible pavements rut depth evolution with time. J Int J Numer Anal Methods Geomech, 2007; 31: 1-22.
[14] Ling JM, Su HC, Xie HC. Library research on dynamic resilient modulus of subgrade soil. J Chinese Journal of Underground Space and Engineering, 2010; 6 (5): 919-925. (in Chinese).
[15] Andrei D, Witczak MW, Schwartz CW, Uzan J. Harmonized resilient modulus test method for unbound pavement materials. J Trans. Res. Rec. TRB, 2004: 29-37.
[16] Ministry of Communications of China. Specifications for design of highway subgrades. China Communications Press, Beijing; 2015. (in Chinese).
[17] Liu M. Analysis of the relationship among the statistical tests on linear regression model. J Statistics & Information Forum, 2011; 26 (4): 21-24. (in Chinese).
[18] Dong C. Study on dynamic resilient modulus and critical dynamic stress of subgrade soil and performance analysis of subgrade and pavement (Ph. D. thesis). Changsha: Central South University; 2014. (in Chinese).
[19] Tommy C, Hopkins K, Tony L. Resilient modulus of Kentucky soils (Ph. D. thesis). Lexington: University of Kentucky; 2004.
[20] Taciroglu E. Constitutive modeling of the resilient response of granular solids (Ph. D. thesis). Illinois: University of Illinois at urbana-champaign urbana; 1998.
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  • APA Style

    Dong Cheng, Zheng Guo-yong, Liu Wen-jie, Zhou Lun, Zhang Rui-lei. (2018). Improved Prediction Model for Dynamic Resilient Modulus of Subgrade Silty Clay in Eastern Hunan and Its Relevant Finite Element Method Implementation. American Journal of Civil Engineering, 6(1), 44-54. https://doi.org/10.11648/j.ajce.20180601.18

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    ACS Style

    Dong Cheng; Zheng Guo-yong; Liu Wen-jie; Zhou Lun; Zhang Rui-lei. Improved Prediction Model for Dynamic Resilient Modulus of Subgrade Silty Clay in Eastern Hunan and Its Relevant Finite Element Method Implementation. Am. J. Civ. Eng. 2018, 6(1), 44-54. doi: 10.11648/j.ajce.20180601.18

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    AMA Style

    Dong Cheng, Zheng Guo-yong, Liu Wen-jie, Zhou Lun, Zhang Rui-lei. Improved Prediction Model for Dynamic Resilient Modulus of Subgrade Silty Clay in Eastern Hunan and Its Relevant Finite Element Method Implementation. Am J Civ Eng. 2018;6(1):44-54. doi: 10.11648/j.ajce.20180601.18

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  • @article{10.11648/j.ajce.20180601.18,
      author = {Dong Cheng and Zheng Guo-yong and Liu Wen-jie and Zhou Lun and Zhang Rui-lei},
      title = {Improved Prediction Model for Dynamic Resilient Modulus of Subgrade Silty Clay in Eastern Hunan and Its Relevant Finite Element Method Implementation},
      journal = {American Journal of Civil Engineering},
      volume = {6},
      number = {1},
      pages = {44-54},
      doi = {10.11648/j.ajce.20180601.18},
      url = {https://doi.org/10.11648/j.ajce.20180601.18},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajce.20180601.18},
      abstract = {With the enhancement of transportation speed and axle load, dynamic response of subgrade increases significantly. In order to improve the calculation accuracy of subgrade response under complex stress state, it is necessary to use dynamic indicators instead of static indicators in calculative process. For the sake of investigating the influence factor of dynamic resilient modulus of subgrade silty clay in Eastern Hunan, resilient modulus tests were carried out by conducting repeated load tri-axial tests. Based on available model, an improved resilient modulus prediction model considering four parameters was proposed by introducing k4. Corresponding accurate consistent tangent stiffness matrix was derived. Afterward, the improved model was implemented into finite element method software and verification work was put forward both on single element and pavement-subgrade structure. Finally, calculated results were compared with in-site measured results. Study achievements demonstrate that the improved model exhibits a higher precision and efficiency on single element because k4 can better adjust the affecting proportion of octahedral shear stress. When applied to analysis on pavement-subgrade structure, the improved model can reflect subgrade resilient modulus distribution and evolution more factually. In addition, numerical calculated result nearly coincides with measured results, which shows the application value of the improved model.},
     year = {2018}
    }
    

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  • TY  - JOUR
    T1  - Improved Prediction Model for Dynamic Resilient Modulus of Subgrade Silty Clay in Eastern Hunan and Its Relevant Finite Element Method Implementation
    AU  - Dong Cheng
    AU  - Zheng Guo-yong
    AU  - Liu Wen-jie
    AU  - Zhou Lun
    AU  - Zhang Rui-lei
    Y1  - 2018/02/03
    PY  - 2018
    N1  - https://doi.org/10.11648/j.ajce.20180601.18
    DO  - 10.11648/j.ajce.20180601.18
    T2  - American Journal of Civil Engineering
    JF  - American Journal of Civil Engineering
    JO  - American Journal of Civil Engineering
    SP  - 44
    EP  - 54
    PB  - Science Publishing Group
    SN  - 2330-8737
    UR  - https://doi.org/10.11648/j.ajce.20180601.18
    AB  - With the enhancement of transportation speed and axle load, dynamic response of subgrade increases significantly. In order to improve the calculation accuracy of subgrade response under complex stress state, it is necessary to use dynamic indicators instead of static indicators in calculative process. For the sake of investigating the influence factor of dynamic resilient modulus of subgrade silty clay in Eastern Hunan, resilient modulus tests were carried out by conducting repeated load tri-axial tests. Based on available model, an improved resilient modulus prediction model considering four parameters was proposed by introducing k4. Corresponding accurate consistent tangent stiffness matrix was derived. Afterward, the improved model was implemented into finite element method software and verification work was put forward both on single element and pavement-subgrade structure. Finally, calculated results were compared with in-site measured results. Study achievements demonstrate that the improved model exhibits a higher precision and efficiency on single element because k4 can better adjust the affecting proportion of octahedral shear stress. When applied to analysis on pavement-subgrade structure, the improved model can reflect subgrade resilient modulus distribution and evolution more factually. In addition, numerical calculated result nearly coincides with measured results, which shows the application value of the improved model.
    VL  - 6
    IS  - 1
    ER  - 

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Author Information
  • Hunan Communication Research Institute Limited Company, Changsha, China; School of Civil Engineering, Central South University, Changsha, China

  • School of Civil Engineering, Central South University, Changsha, China

  • Hunan Communication Research Institute Limited Company, Changsha, China; School of Civil Engineering, Central South University, Changsha, China

  • Hunan Communication Research Institute Limited Company, Changsha, China

  • Hunan Communication Research Institute Limited Company, Changsha, China

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