Active Earth Thrust Considering Tension Crack, Pore-water Pressure and Soil Nonlinearity

다국어 초록 (Multilingual Abstract)

The presences of tension cracks and pore-water pressure will reduce the stability of a soil-wall system. This study develops a kinematical approach to analyze how the active earth thrust is influenced by tension cracks and pore-water pressure, using the powerlaw nonlinear yield criterion. Although many cracks may be present in the backfill, this paper only involves one crack which leads to the most unfavorable effect. The influence of pore-water pressure is also considered using the concept of pore-water pressure coefficient. The power-law yield criterion is adopted characterize the soil strength, and the generalized tangential technique is introduced to realize the transition to the conventional linear problem. An objective function for the active earth thrust is derived from the equilibrium of rates of work and energy. Numerical results are determined from a maximization programming. By comparing with the available solution, the presented solution is validated. The results show that the presence of cracks has an unfavorable influence of increasing the active earth thrust, and this effect is even more obvious when the impact of seepage pressure is considered.

참고문헌 (Reference)

1 Da Huang, "Upper-bound Limit Analysis on Seismic Rotational Stability of Retaining Wall" 대한토목학회 20 (20): 2664-2669, 2016

2 Jing-Shu Xu, "Three-dimensional stability analysis of slope in unsaturated soils considering strength nonlinearity under water drawdown" Elsevier BV 237 : 102-115, 2018

3 Santarelli, F. J., "Theoretical and experimental investigation of the stability of the axisymmetric wellbore" University of London 1987

4 A. W. Bishop, "The Use of Pore-Pressure Coefficients in Practice" Thomas Telford Ltd. 4 (4): 148-152, 1954

5 R. BAKER, "Tensile strength, tension cracks, and stability of slopes." Elsevier BV 21 (21): 1-17, 1981

6 Z.W. Li, "Stability of 3D slope under steady unsaturated flow condition" Elsevier BV 242 : 150-159, 2018

7 Radoslaw L. Michalowski, "Stability assessment of slopes with cracks using limit analysis" Canadian Science Publishing 50 (50): 1011-1021, 2013

8 X. J. Zhang, "Stability analysis of slopes with general nonlinear failure criterion" Wiley 11 (11): 33-50, 1987

9 J. G. Agar, "Shear strength and stress—strain behaviour of Athabasca oil sand at elevated temperatures and pressures" Canadian Science Publishing 24 (24): 1-10, 1987

10 Jing-shu Xu, "Seismic and Static 3D Stability of Two-stage Slope Considering Joined Influences of Nonlinearity and Dilatancy" 대한토목학회 22 (22): 3827-3836, 2018

11 V. F. B. De Mello, "Reflections on design decisions of practical significance to embankment dams" Thomas Telford Ltd. 27 (27): 281-355, 1977

12 Florian tom Wörden, "Numerical modeling of three-dimensional active earth pressure acting on rigid walls" Elsevier BV 51 : 83-90, 2013

13 M. Ahmadabadi, "New procedure for active earth pressure calculation in retaining walls with reinforced cohesive-frictional backfill" Elsevier BV 27 (27): 456-463, 2009

14 Chardphoom Viratjandr, "Limit analysis of submerged slopes subjected to water drawdown" Canadian Science Publishing 43 (43): 802-814, 2006

15 Yufeng Gao, "Limit analysis of slopes with cracks: Comparisons of results" Elsevier BV 188 : 97-100, 2015

16 Chen, W. F., "Limit analysis in soil mechanics" Elsevier 1990

17 Chen, W. F., "Limit analysis and soil plasticity" Elsevier 1975

18 Rui Zhang, "Limit Analysis of Active and Passive Mechanisms of Shallow Tunnels in Nonassociative Soil with Changing Water Table" American Society of Civil Engineers (ASCE) 18 (18): 04018063-, 2018

19 Xiaoli Yang, "Kinematical analysis of 3D passive earth pressure with nonlinear yield criterion" Wiley 42 (42): 916-930, 2018

20 S. UTILI, "Investigation by limit analysis on the stability of slopes with cracks" Thomas Telford Ltd. 63 (63): 140-154, 2013

21 Harianto Rahardjo, "General limit equilibrium method for lateral earth force" Canadian Science Publishing 21 (21): 166-175, 1984

22 Guy Lefebvre, "Fourth Canadian Geotechnical Colloquium: Strength and slope stability in Canadian soft clay deposits" Canadian Science Publishing 18 (18): 420-442, 1981

23 TERUO NAKAI, "Finite element computations for active and passive earth pressure problems of retaining wall." Elsevier BV 25 (25): 98-112, 1985

24 Shi Han, "Earth pressure of layered soil on retaining structures" Elsevier BV 83 : 33-52, 2016

25 Janbu, N., "Earth pressure and bearing capacity calculations by generalized procedure of slices" 2 : 207-212, 1957

26 X. L. Yang, "Comparison of Factors of Safety Using a 3D Failure Mechanism with Kinematic Approach" American Society of Civil Engineers (ASCE) 18 (18): 04018107-, 2018

27 손무락, "Comparison of Earth Pressure between Numerical and Analytical Methods for Jointed Rock Wedges" 대한토목학회 19 (19): 2075-2082, 2015

28 Zheng-Wei Li, "Active earth pressure for soils with tension cracks under steady unsaturated flow conditions" Canadian Science Publishing 55 (55): 1850-1859, 2018

29 A.-H. Soubra, "Active and passive earth pressure coefficients by a kinematical approach" Thomas Telford Ltd. 155 (155): 119-131, 2002

30 D. M. Potts, "A numerical study of the effects of wall deformation on earth pressures" Wiley 10 (10): 383-405, 1986