Journal of Shanghai Jiao Tong University (Science) ›› 2018, Vol. 23 ›› Issue (6): 764-769.doi: 10.1007/s12204-018-1997-7

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Block Limit Analysis Method for Stability of Slopes During Earthquakes

Block Limit Analysis Method for Stability of Slopes During Earthquakes

YIN Xiaojun (尹小军), WANG Lanmin (王兰民)   

  1. (1. Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China; 2. Key Laboratory of Earthquake Engineering and Engineering Vibration of China Earthquake Administration, Harbin 150080; 3. College of Mining Engineering, Heilongjiang University of Science and Technology, Harbin 150022, China; 4. Lanzhou Institute of Seismology, China Earthquake Administration, Lanzhou 730000, China)
  2. (1. Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China; 2. Key Laboratory of Earthquake Engineering and Engineering Vibration of China Earthquake Administration, Harbin 150080; 3. College of Mining Engineering, Heilongjiang University of Science and Technology, Harbin 150022, China; 4. Lanzhou Institute of Seismology, China Earthquake Administration, Lanzhou 730000, China)
  • Online:2018-12-01 Published:2018-12-07
  • Contact: YIN Xiaojun (尹小军) E-mail:yinxiaojun800@126.com

Abstract: Based on the limit analysis upper bound method, a new mechanism of soil slope failure has been proposed which was consisted of plastic shear zone and rigid block zone. The different zones interface were regarded as discontinuity lines. Two sliding blocks of the slope were also incorporated horizontal seismic force and vertical gravity force. The velocities and forces were analyzed in two blocks, and the expression of velocity discontinuities was derived according to the principle of incompressibility. The external force done work for the blocks and the internal energy dissipated of the plastic shear zone and the velocity discontinuous were solved. The stability ratios were derived for the height of two-level slope with different rates to involve seismic and no seismic. The present stability ratios were compared to the previous study, which showed the superiority of the mechanism and the rationality of the analysis. The critical height of the slope can provide a theoretical basis for slope support and design.

Key words: soil slope | stability ratio | earthquake | block limit analysis method

摘要: Based on the limit analysis upper bound method, a new mechanism of soil slope failure has been proposed which was consisted of plastic shear zone and rigid block zone. The different zones interface were regarded as discontinuity lines. Two sliding blocks of the slope were also incorporated horizontal seismic force and vertical gravity force. The velocities and forces were analyzed in two blocks, and the expression of velocity discontinuities was derived according to the principle of incompressibility. The external force done work for the blocks and the internal energy dissipated of the plastic shear zone and the velocity discontinuous were solved. The stability ratios were derived for the height of two-level slope with different rates to involve seismic and no seismic. The present stability ratios were compared to the previous study, which showed the superiority of the mechanism and the rationality of the analysis. The critical height of the slope can provide a theoretical basis for slope support and design.

关键词: soil slope | stability ratio | earthquake | block limit analysis method

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