Journal of the Korean Geosynthetics Society (한국지반신소재학회논문집)

Korean Geosynthetics Society (한국지반신소재학회)
권호 표지

A Study on Comparison of Finite Element Analysis with Model Test of Shallow Footing Failure for Cohesionless Soil with Non-associated Plasticity and Some Smooth Footing

사질토지반의 지지력분석을 위한 얕은기초의 파괴거동에 대한 모형실험과 유한요소해석 비교 검토

  • 김영민 (전주대학교 토목환경공학과) ;
  • 강성귀 (전주대학교 토목환경공학과)
  • Received : 2009.12.12
  • Accepted : 2009.12.21
  • Published : 2010.03.30
Download PDF
⟨ Previous Next ⟩

Abstract

This paper describes the procedure to predict the entire load-displacement curve and the failure mechanism of shallow strip footing for real soil. The presented results show that it is possible to analyze the post peak behavior of shallow strip footing and to give a progressive failure mechanism clearly. Finite element computation of the bearing capacity factor $N_{\gamma}$ have been made for shallow strip footings with friction angles and dilation angle. It is shown that commonly used values of $N_{\gamma}$ which have generally been based on associated plasticity calculations are unconservative for real soil with non-associated plasticity and some smooth footing.

본 연구에서는 얕은기초의 파괴거동과 전체적인 하중-변위 관계를 묘사하는 방법에 대하여 기술하였다. 제안한 방법에 의하여 얕은기초의 최고점 이후의 거동과 점진적인 파괴과정을 비교적 명확히 기술하는 것이 가능함을 보여주었다. 유한요소 수치해석법으로 얕은 기초지반에 대하여 마찰각과 체적팽창각을 달리하여 지지력계수 $N_{\gamma}$을 계산하였다. 일반적으로 적용하는 관련 흐름법칙과 거친 기초조건에 의한 지지력계수 $N_{\gamma}$값은 실제 흙거동인 비관련 흐름법칙과 약간 미끈한 기초조건에 대해서는 불안전한 설계가 되는 것을 보여주었다.

Keywords

References

  1. 小林正樹 (1990), 地盤の安定·沈下解析における有限要素の適用に関する研究, 博士学位論文, 東京工業大, pp.2-6.
  2. 櫻井春輔 (1982), "トンネル工事における變位計測結果の評價法", 土木學會論文報告集, 第317, pp.93-100.
  3. 龍岡文夫, 田中忠次, 岡原美知夫, Sliddiquee, M. S. A. (1992), "模型実験, 材料実験, 数値実験における砂質土地盤上の帯基礎支持力", 土と基礎, Vol.140, No.5, pp.11-16.
  4. Bowles, J.E. (1997), Foundation analysis and design 5th, Mcgraw-Hill, pp.220-223.
  5. Bandini, P. (2003), Numerical limit analysis for slope stability and bearing capacity Calculations, Ph.D thesis, Purdue University, pp.225-248.
  6. Chen, W. F. (1975), Limit analysis and soil plasticity. Elsevier Scientific Publishing Company, Amsterdam, pp.73-89.
  7. Duncan J. M. (1996), "State of art: Limit equilibrium and finite element method analysis of slope", J. Geotech. and Geoenvir. Engrg, ASCE, Vol.122, No.7, pp.577-596. https://doi.org/10.1061/(ASCE)0733-9410(1996)122:7(577)
  8. Frydman, S. and Burd, H. J. (1997), "Numerical studies of bearing capacity factor N", J. Geotech. and Geoenvir. Engrg, ASCE, Vol.123, pp.20-29. https://doi.org/10.1061/(ASCE)1090-0241(1997)123:1(20)
  9. Griffiths, D.V. (1982), "Computation of bearing capacity factors using finite elements." Geotechnique, Vol.32, pp.195-202. https://doi.org/10.1680/geot.1982.32.3.195
  10. Griffiths, D.V. (1989), "Computation of collapse loads in geomechanics by finite elements", Int. Arch., Vol.59, pp.237-244.
  11. Kumbhojkar, A. S. (1993), "Numerical Evaluation of Terzaghi's $N_{\gamma}$", J. Geotech.. Engrg, ASCE, Vol.119, pp.598-607. https://doi.org/10.1061/(ASCE)0733-9410(1993)119:3(598)
  12. Manoharan, N. and Dasgupta, S. P. (1995), "Bearing capacity of surface footings by finite elements." Computers and Structures, Vol.54, No.4, pp.563-586. https://doi.org/10.1016/0045-7949(94)00381-C
  13. Michalowski, R. L. (1997), "An estimate of the influence of soil weight on bearing capacity using limit analysis", Soils and Found, Vol.37, No.4, pp.57-64. https://doi.org/10.3208/sandf.37.4_57
  14. Siddiquee, M. S. A. (1991), Finite element analysis of settlement and bearing capacity of footing on sand, Ph. D. thesis, Tokyo Univ, pp.4-7.
  15. Sokolovskii, V. V. (1965), Statics of granular media. Pergamon Press, New York.
  16. Terzaghi, K and Peck, R.B. (1967), Soil Mechanics in engineering practice, John Wiley & Sons Inc, pp.118-129.
  17. Toh, C. T. and Sloan, S. W. (1980), "Finite element analyses of isotropic and anisotropic cohesive soils with a view to correctly predicting impending collapse", Int. J. Numer. Anal. Meth. in Geomech., Vol.4, pp.1-23. https://doi.org/10.1002/nag.1610040102