Journal of the Korean Geotechnical Society (한국지반공학회논문집)

Korean Geotechnical Society (한국지반공학회)
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A Study on the Development of a Stability Chart for Yield Seismic Coefficient of Soil Slope Using Limit Analysis

한계해석을 이용한 토사면의 항복지진계수 산정도표 제안 연구

  • Choi, Sang-Ho (Dept. of Civil & Environmental Engrg., Sejong Univ.) ;
  • Kim, Jong-Min (Dept. of Civil & Environmental Engrg., Sejong Univ.)
  • 최상호 (세종대학교 토목환경공학과) ;
  • 김종민 (세종대학교 토목환경공학과)
  • Received : 2010.02.16
  • Accepted : 2010.03.24
  • Published : 2010.03.31
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Abstract

Yield seismic coefficient plays an important role in the estimation of permanent displacement of a soil slope subjected to earthquake using Newmark's sliding block theory. However, yield seismic coefficients currently used in practices are not mechanically rigorous since most of them are estimated using limit equilibrium methods considering equilibrium condition only. Therefore, estimation of permanent displacement of a soil slope based on existing yield seismic coefficient may cause problems. Limit analysis estimating the range of mechanically rigorous solution is thought to be effective in evaluating the validity of existing yield seismic coefficient. In this study, a simple stability chart for yield seismic coefficient useful in practices is proposed by considering various slope conditions including stability number, slope inclination, strength parameters, etc.

Newmark 활동블록법을 이용하여 지진시 토사면의 영구변위를 산정할 경우 항복지진계수의 결정은 매우 중요하다. 그러나 기존에 제안된 항복지진계수는 일반적으로 한계평형해석에 기초하고 있어 역학적조건 중 평형조건만을 만족하므로 역학적으로 엄밀하지 못하다. 따라서 기 제안된 항복지진계수를 이용하여 토사면의 영구변위를 산정할 경우 문제점를 야기할 수 있다. 한계해석은 역학적으로 엄밀한 해의 범위를 산정하는 해석기법으로 항복지진계수의 역학적 엄밀성을 판단하는데 유용하다. 본 연구에서는 안정수, 사면경사, 지반물성 등에 따른 다양한 해석조건을 고려하여 실무적용에 유용한 항복지진계수 산정도표를 제안하였다.

Keywords

Acknowledgement

Supported by : 세종대학교

References

  1. 건설교통부 (2006), 건설공사 비탈면 설계기준, pp.405-440.
  2. Chang, C. J., Chen, W. F. and Yao, J. T. P. (1984), "Seismic Displacement in slopes by Limit Analysis", Journal of Geotechnical Engineering, Vol.110, No.7, pp.860-874. https://doi.org/10.1061/(ASCE)0733-9410(1984)110:7(860)
  3. Fmaklin, A. G. and Chang, F. K. (1977), "Permanent Dispiacements of Earth Embankments by Newmark Sliding Block Analysis", Miscellaneous Paper S-71-17, Soil and pavement Laboratory, U.S. Army Engineer Waterways Experiment Station, Vicksburg, Miss.
  4. Goodman, R. E. and Seed, H. B. (1966), "Earthquake-induced displacements in sand embankments", J. Soil Mechanics and Foundations Division, ASCE, Vol.92, No.2, pp.125-146.
  5. Kim, J. M. (1998), "Limit Analysis of Soil Slope Stability Using Finite Element and Linear Programming", Ph. D. Thesis, Purdue University, West Lafayette, IN, U.S.A.
  6. Kleeman, P. W. and Sloan, S. W. (1995), "Upper Bound Limit Analysis using Discontinuous Velocity Fields", Computer methods in applied mechanics and engineering, Vol.127, pp.293-314. https://doi.org/10.1016/0045-7825(95)00868-1
  7. Kutter, B. L. (1984), "Earthquake deformation of centrifuge model banks", Journal of the Geotechnical Engineering Division, ASCE, Vol.110, No.12, pp.1697-1714. https://doi.org/10.1061/(ASCE)0733-9410(1984)110:12(1697)
  8. Newmark, N. M. (1965), "Effects of earthquakes on dams and embankments", Geotechnique, Vol.15, No.2, pp.139-159. https://doi.org/10.1680/geot.1965.15.2.139
  9. Prater, E. G. (1979), "Yield Acceleration for seismic Stability of Slopes", Journal of the Geotechnical Engineering Division, ASCE, Vol.105, No.GT5, pp.682-687.
  10. Randall, W. J. (1993), "Predicting Earthquake-Indnced Landslide Displacements Using Newmar k's sliding Block Analysis", Transportation Research Record 1411, pp.9-17.
  11. Sarma, S. K. (1981), "Seismic displacement analysis of earth dams", J. Geotech. Engrg., ASCE, Vol.107, No.12, pp.1735-1739.
  12. Sawada, T., Nomachi, S. G. and Chen, W. F. (1994), "Stability analysis and model test for seismic displacement of a slope", Prefailure Deformation of Geomaterials, Shibuya, Mitachi and Miura (eds), Balkema, pp.665-671.
  13. Sloan, S. W. (1988), "Lower Bound Limit Analysis using finite Elements and inear Programming", International Journal for Numerical and Analytical Methods in Geomechanics, Vol.12, pp.61-77. https://doi.org/10.1002/nag.1610120105
  14. Sloan, S. W. (1989), "Upper Bound Limit Analysis using finite Elements and Linear Programming", International Journal for NmnericaI and Analytical Methods in Geomechanics, Vol.13, pp.263-282. https://doi.org/10.1002/nag.1610130304
  15. Wilson, R. C. and Keefer, D. K. (1983), "Dynamic analysis of a slope failure from the 6 August 1979 Coyote Lake, California", Earthquake Bull. Seismol. Soc. Am., Vol.73, No.3, pp.863-877.