Source Journal for Chinese Scientific and Technical Papers
Core Journal of RCCSE
Included in JST China
Included in the Hierarchical Directory of High-quality Technical Journals in Architecture Science Field
Volume 43 Issue 2
Dec.  2014
Turn off MathJax
Article Contents
Yang Yang, Lu Kunlin, Zhu Dayong, Wu Ping. THE UPPER-BOUND SOLUTION FOR BEARING CAPACITY FACTOR OF BY EMPLOYING THE EQUIVALENCE OF LIMIT ANALYSIS AND LIMIT EQUILIBRIUM METHOD[J]. INDUSTRIAL CONSTRUCTION, 2013, 43(2): 72-77,71. doi: 10.13204/j.gyjz201302015
Citation: Yang Yang, Lu Kunlin, Zhu Dayong, Wu Ping. THE UPPER-BOUND SOLUTION FOR BEARING CAPACITY FACTOR OF BY EMPLOYING THE EQUIVALENCE OF LIMIT ANALYSIS AND LIMIT EQUILIBRIUM METHOD[J]. INDUSTRIAL CONSTRUCTION, 2013, 43(2): 72-77,71. doi: 10.13204/j.gyjz201302015

THE UPPER-BOUND SOLUTION FOR BEARING CAPACITY FACTOR OF BY EMPLOYING THE EQUIVALENCE OF LIMIT ANALYSIS AND LIMIT EQUILIBRIUM METHOD

doi: 10.13204/j.gyjz201302015
  • Received Date: 2012-06-03
  • Publish Date: 2013-02-20
  • An approach for evaluating the upper-bound for bearing capacity factor N was presented.The equivalence of limit analysis and limit equilibrium method was analyzed,and then a kinematical admissible failure mechanism,which was composed of a sequence of rigid triangles,was considered in the framework of limit equilibrium method.The recursion formula of inter-slice force was deduced according to the force equilibrium conditions of slice,and optimal bottom inclination of each triangle also was obtained by employing the principle of maximum thrust force.Therefore,the critical failure mechanism and corresponding N value were obtained.Then,the influence of inclined ground surface on N value was discussed.These solutions,presented in the form of graphs,were compared against existing semi-empirical expressions and numerical solutions.Finally,approximate analytical expressions for N and (correction factor of inclined ground surface) were suggested.The present method,which was of simple principle and could be readily implemented into computer software,could solve a lower N value than other's the upper-bound solutions.The study results could be used in theoretical analysis of bearing capacity and provideed some beneficial references for further research on N.
  • loading
  • Terzaghi K. Theoretical soil Mechanics[M]. New York: JohnWiley & Sons,1943.
    [2] Meyerhof G G. The Ultimate Bearing Capacity of Foundations[J].Geotechnique,1951,2(4):301-332.
    [3] Kumbhojkar A S. Numerical Evaluation of Therzaghi s N[J].Journal of Geotechnical Engineering,1993,119(3):598-607.
    [4] Zhu D Y, Lee C F, Jiang H D. A Numerical Study of the BearingCapacity Factor N[J]. Canadian Geotechnical Journal,2001,38(1):1090-1096.
    [5] Sokolovskii V V. Statics of Soil Media[M]. London: ButterworthsPublications,1965.
    [6] Hansen J B. A Revised and Extended Formula for BearingCapacity[J]. Bulletin of the Danish Geotechnical Institute,1970,28:5-11.
    [7] Booker J R. Applications of Theories of Plasticity to CohesiveFrictional Soils[D]. Sydney: Sydney University,1969.
    [8] Bolton M D, Lau C K. Vertical Bearing Capacity Factors forCircular and Strip Footings on Mohr-Coulomb Soil[J]. CanadianGeotechnical Journal,1993,30(6):1024-1033.
    [9] Kumar J. Nfor Rough Strip Footing Using the Method ofCharacteristics[J]. Canadian Geotechnical Journal,2003,40(3):669-674.
    [10] 肖大平,朱维一,陈环.滑移线法求解极限承载力问题的一些进展[J].岩土工程学报,1998,20(4):25-29.
    [11] 韩冬冬,谢新宇,窦岩嵩.考虑土体重度的条形基础极限承载力半经验理论解[J].长江科学院院报,2009,26(8):54-58.
    [12] Chen W F. Limit Analysis and Soil Plasticity[M]. Amsterdam:Elsevier,1975.
    [13] Michalowski R L. An Estimate of the Influence of Soil Weight onBearing Capacity Using Limit Analysis[J]. Soils andFoundations,1997,37(4):57-64.
    [14] Soubra A H. Upper-Bound Solutions for Bearing Capacity ofFoundations[J]. Journal of Geotechnical and Geo-EnvironmentalEngineering,1998,125(1):59-68.
    [15] Wang Y J, Yin J H, Chen Z Y. Calculation of Bearing Capacity ofa Strip Footing Using an Upper Bound Method[J]. InternationalJournal for Numerical and Analytical Methods in Geomechanics,2001,25(8):841-851.
    [16] Zhu D Y. The Least Upper-Bound Solution for the BearingCapacity Factor N[J]. Soils and Foundations,2000,40(1):123-129.
    [17] 陈祖煜.土力学经典问题的极限分析上、下限解[J].岩土工程学报,2002,24(1):1-11.
    [18] 朱大勇.复杂条件下承载力系数 N的上限解[J].力学与实践,1999,21(4):24-27.
    [19] 黄茂松,秦会来,郭院成.非均质和各向异性黏土地基承载力的上限解[J].岩石力学与工程学报,2008,27(3):511-518.
    [20] Sloan S W. Lower Bound Limit Analysis Using Finite Elementsand Linear Programming[J]. International Journal for Numericaland Analytical Methods in Geomechanics,1988,12(8):61-77.
    [21] Ukritchon B, Whittle A W, Klangvijit C. Calculations of BearingCapacity Factor NUsing Numerical Limit Analyses[J]. Journal ofGeotechnical and Geoenviron mental Engineering,2003,129(6):468-474.
    [22] Hjiaj M, Lyamin A V, Sloan S W. Numerical Limit AnalysisSolutions for the Bearing Capacity Factor N[J]. InternationalJournal of Solids and Structures,2005,42(5/6):1681-1704.
    [23] Smith C C. Complete Limiting Stress Solutions for the BearingCapacity of Strip Footings on a Mohr-Coulomb Soil[J].Geotechnique,2005,55(8):607-612.
    [24] Griffiths D V. Computation of Bearing Capacity Factors UsingFinite Elements[J]. Geotechnique,1982,32(3):195-202.
    [25] Manoharan N, Dasgupta S P. Bearing Capacity of Surface Footingsby Finite Elements[J]. Computers and Structures,1995,54(4):563-586.
    [26] Day R A, Potts D M. Discussion of Observations on theComputation of the Bearing Capacity Factor Nby FiniteElements by P K Woodward and D V Griffith[J]. Geotechnique,2000,50(3):301-303.
    [27] Woodward P K, Griffiths D V. Observations on the Computation ofthe Bearing Capacity Factor Nby Finite Elements[J].Geotechnique,1998,48(1):137-141.
    [28] 詹云刚,袁凡凡,栾茂田,等.均质土地基上埋深条形基础极限承载力系数数值研究[J].岩石力学与工程学报,2008,27(S2):3408-3415.
    [29] 赵少飞,栾茂田,范庆来,等.非均质地基承载力及破坏模式的 FLAC 数值分析[J].岩土力学,2006,27(11):1909-1914.
    [30] Enoki M, Yagi N, Yatabe R, et al. Relation of Limit EquilibriumMethod to Limit Analysis Method[J]. Soils and Foundations,1991,31(4):37-47.
    [31] Drescher A, Detournay E. Limit Load in Translational FailureMechanisms for Associative and Non-Associative Materials[J].Geotechnique,1993,43(3):443-456.
    [32] Zhu D Y. A Method for Locating Critical Slip Surfaces in SlopeStability Analysis[J]. Canadian Geotechnical Journal,2001,38(2):328-337.
    [33] Khatri V N, Kumar J, Kouzer K M. Determination of the BearingCapacity Factor NUsing Upper and Lower Bound Limit AnalysisIncluding Slip Line Method[C]//The 12 th InternationalConference of International Association for Computer Methods andAdvances in Geomechanics.2008:3191-3198.
    [34] Kumar J, Khatri V N. Bearing Capacity Factors of CircularFoundations for a General c- Soil Using Lower Bound FiniteElements Limit Analysis[J]. International Journal for Numericaland Analytical Methods in Geomechanics,2011,35(3):393-405.
    [35] Kumar J, Khatri V N. Effect of Footing Roughness on LowerBound NValues[J]. International Journal of Geo-Mechanics,2008,8(3):176-187.
    [36] Vesic A S. Analysis of Ultimate Loads of Shallow Foundation[J].Journal of the Soil Mechanics and Foundation Division, ASCE,1973,99(1):45-73.
    [37] Dewaikar D M, Mohapatra B G. Computation of Bearing CapacityFactors NPrandtl s Mechanism[J]. Soils and Foundations,2003,43(3):1-10.
    [38] Caquot A, Kerisel J. Sur le Terme de Surface Dans le CalculdesFoundations en Milieu Pulverulent[C]//Proceedings of the 3 rdInternational Conference on Soil Mechanics and FoundationEngineering.1953:336-337.
    [39] Martin C M. New Software for Rigorous Bearing CapacityCalculations[C]//Proceedings of the British GeotechnicalAssociation International Conference on Foundations. Dundee:Thomas Telford,2003:581-592.
    [40] 杨峰,阳军生,张学民,等.斜坡地基单侧滑移破坏模式及承载力上限解[J].工程力学,2010,27(6):162-168.
    [41] 钱家欢,殷宗泽.土工原理与计算[M].2版.北京:水利水电出版社,1996.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (116) PDF downloads(92) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return