The Upper Bound Calculation of Passive Earth Pressure Based on Shear Strength Theory of Unsaturated Soil

2009 ◽  
Author(s):  
L. H. Zhao ◽  
Q. Luo ◽  
L. Li ◽  
F. Yang ◽  
X. L. Yang
Keyword(s):  
Shear Strength ◽  
Unsaturated Soil ◽  
Upper Bound ◽  
Earth Pressure ◽  
Strength Theory ◽  
Passive Earth Pressure

Unified Solution of Passive Earth Pressure for Unsaturated Soils

2012 ◽  
Vol 594-597 ◽  
pp. 430-433 ◽  
Author(s):  
Chang Guang Zhang ◽  
Dong Hui Zhu ◽  
Zhi Gao ◽  
Guang Wei Xue ◽  
Zheng Li
Keyword(s):  
Shear Strength ◽  
Unsaturated Soils ◽  
Earth Pressure ◽  
Matric Suction ◽  
Intermediate Principal Stress ◽  
Strength Theory ◽  
Passive Earth Pressure ◽  
Independent State ◽  
Unified Strength Theory ◽  
State Stress

With two different distributions of matric suction, the unified solution of passive earth pressure for unsaturated soils is obtained, which is based on the unified shear strength for unsaturated soils in terms of two independent state stress variables and could avoid some shortages of Rankine's passive earth pressure. The influence of intermediate principal stress and matric suction on passive earth pressure is discussed. The results show that the passive earth pressure increases significantly with the unified strength theory parameter or matric suction increasing, and does not change more rapidly when matric suction decreases linearly with depths than that is constant.

Passive earth-pressure coefficients by upper-bound numerical limit analysis

2011 ◽  
Vol 48 (5) ◽  
pp. 767-780 ◽  
Author(s):  
Armando N. Antão ◽  
Teresa G. Santana ◽  
Mário Vicente da Silva ◽  
Nuno M. da Costa Guerra
Keyword(s):  
Upper Bound ◽  
Limit Analysis ◽  
Pressure Ratio ◽  
Three Dimensional ◽  
Earth Pressure ◽  
Wall Friction ◽  
Passive Earth Pressure ◽  
Upper Bound Theorem ◽  
Pressure Coefficients ◽  
Bound Theorem

A three-dimensional (3D) numerical implementation of the limit analysis upper-bound theorem is used to determine passive horizontal earth-pressure coefficients. An extension technique allowing determination of the 3D passive earth pressures for any width-to-height ratios greater than 7 is presented. The horizontal passive earth-pressure coefficients are presented and compared with solutions published previously. Results of the ratio between the 3D and two-dimensional horizontal passive earth-pressure coefficients are shown and found to be almost independent of the soil-to-wall friction ratio. A simple equation is proposed for calculating this passive earth-pressure ratio.

Upper Bound Limit Analysis of Passive Earth Pressure of Cohesive Backfill on Retaining Wall

2013 ◽  
Vol 353-356 ◽  
pp. 895-900 ◽  
Author(s):  
Xin Rong Liu ◽  
Ming Xi Ou ◽  
Xin Yang
Keyword(s):  
Upper Bound ◽  
Limit Analysis ◽  
Slip Surface ◽  
Retaining Wall ◽  
Earth Pressure ◽  
Friction Angle ◽  
Cohesive Soil ◽  
Passive Earth Pressure ◽  
Simple Method ◽  
Upper Bound Limit Analysis

In view of the shortage of using classical earth pressure theories to calculating passive earth pressure of cohesive soil on retaining wall under complex conditions. Based on the planar slip surface and the back of retaining wall was inclined and rough assumption, the calculation model of passive earth pressure of cohesive backfill under uniformly distrubuted loads was presented, in which the upper bound limit analysis was adopted. Meanwhile it was proven that the prevailing classical Rankine’s earth pressure theory was a special example simlified under the condition of its assumptions. For it’s difficult to determine the angle of slip surface , a relatively simple method for calculating the angle was proposed by example. And the influence of angle of wall back , friction angle of the interface between soil and retaining wall, cohesion force and internal friction angle of backfill soil to planar sliding surface and passive earth pressure were analyzed. Some good calculation results were achieved, these analysis can provide useful reference for the design of retaining wall.

scholarly journals Static and seismic passive earth pressure coefficients on rigid retaining structures

2000 ◽  
Vol 37 (2) ◽  
pp. 463-478 ◽  
Author(s):  
A -H Soubra
Keyword(s):  
Failure Mechanism ◽  
Upper Bound ◽  
Limit Analysis ◽  
Earth Pressure ◽  
Numerical Results ◽  
Passive Earth Pressure ◽  
Pressure Coefficients ◽  
Passive Pressure ◽  
Analysis Theory ◽  
Earthquake Effects

The passive earth pressure problem is investigated by means of the kinematical method of the limit analysis theory. A translational kinematically admissible failure mechanism composed of a sequence of rigid triangles is proposed. This mechanism allows the calculation of the passive earth pressure coefficients in both the static and seismic cases. Quasi-static representation of earthquake effects using the seismic coefficient concept is adopted. Rigorous upper-bound solutions are obtained in the framework of the limit analysis theory. The numerical results of the static and seismic passive earth pressure coefficients are presented and compared with the results of other authors.Key words: limit analysis, passive pressure, earthquake.

Calculation of Earth Pressure on Straight Ditch Buried Rigid Pipe

2013 ◽  
Vol 438-439 ◽  
pp. 824-828
Author(s):  
Qing Liu ◽  
Wei Ding ◽  
Jian Bo Cui ◽  
Yan Xiao ◽  
Xue Qiang Zhao
Keyword(s):  
Shear Strength ◽  
Optimization Design ◽  
Earth Pressure ◽  
Calculation Model ◽  
Intermediate Principal Stress ◽  
Strength Theory ◽  
Soil Pressure ◽  
Top Soil ◽  
Pressure Calculation ◽  
New Formula

Based on the unified twin shear strength theory, a new earth pressure formula is deduced for the straight groove buried rigid pipes, with a straight slip plane soil pressure calculation model established. Compared with traditional earth pressure calculation method, the new formula which considers influence of intermediate principal stress on the pipeline earth pressure can obtain the result which is much closer to the actual pipeline stress situation. The results determined from the proposed formula with an engineering example show the influence law of slot width and the thickness of the overburden on tube top soil pressure. The conclusions have some guidance significance for optimization design of pipeline engineering.

Estimation of the Passive Earth Pressure with Inclined Cohesive Backfills: The Effect of Intermediate Principal Stress is Considered

2010 ◽  
Vol 168-170 ◽  
pp. 1370-1376
Author(s):  
We Long Yu ◽  
Jian Zhang ◽  
Xiu Hua Sun ◽  
Rui Lin Hu ◽  
Xin Wei
Keyword(s):  
Principal Stress ◽  
Retaining Wall ◽  
Ground Surface ◽  
Earth Pressure ◽  
Intermediate Principal Stress ◽  
Strength Theory ◽  
Passive Earth Pressure ◽  
Unified Strength Theory ◽  
Retaining Structure ◽  
Lateral Earth Pressure

Estimating passive earth pressure accurately is very important when designing retaining wall. Based on the unified strength theory and plane strain assumption, an analytical solution has been developed to determine the passive lateral earth pressure distribution on a retaining structure when the backfill is cohesive and inclined considering the effect of the intermediate principal stress. The solution derived encompasses both Bell’s equation (for cohesive or cohesionless backfill with a horizontal ground surface) and Rankine’s solution (for cohesionless backfill with an inclined ground surface).

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