Upper bound seismic rotational stability analysis of gravity retaining walls considering embedment depth

Abstract

Stability analysis of gravity retaining wall was currently based on the assumption that the wall had no embedment depth. The effect of earth berm was usually neglected. The present work highlighted the importance of embedment depth when assessing the seismic stability of gravity retaining walls with the pattern of pure rotation. In the framework of upper bound theorem of limit analysis, pseudo-static method was applied into two groups of parallel rigid soil slices methods in order to account for the effect of embedment depth on evaluating the critical acceleration of wall-soil system. The present analytical solution is identical to the results obtained from using limit equilibrium method, and the two methods are based on different theory backgrounds. Parameter analysis indicates that the critical acceleration increases slowly when the ratio of the embedment depth to the total height of the wall is from 0 to 0.15 and increases drastically when the ratio exceeds 0.15.

Keywords

gravity retaining wall / embedment depth / seismic rotational stability / upper bound analysis / parallel rigid soil slices

References

[1] ZengX, SteedmanR S. Rotating block method for seismic displacement of gravity walls [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2000, 126(8): 709-717

[2] ChoudhuryD, AhmadS M. Stability of waterfront retaining wall subjected to pseudo-static earthquake forces [J]. Ocean Engineering, 2007, 34(14): 1947-1954

[3] AhmadS M, ChoudhuryD. Seismic rotational stability of waterfront retaining wall using pseudodynamic method [J]. International Journal of Geomechanics, 2010, 10(1): 45-52

[4] BashaB M, BabuG L. Seismic rotational displacements of gravity walls by pseudodynamic method with curved rupture surface [J]. International Journal of Geomechanics, 2009, 10(3): 93-105

[5] BashaB M, BabuG L. Optimum design of bridge abutments under seismic conditions: Reliability-based approach [J]. Journal of Bridge Engineering, 2010, 15(2): 183-195

[6] SiddharthanR, AraS, NorrisG M. Simple rigid plastic model for seismic tilting of rigid walls [J]. Journal of Structural Engineering, 1992, 118(2): 469-487

[7] NouriH, FakherA, JonesC. Development of horizontal slice method for seismic stability analysis of reinforced slopes and walls [J]. Geotextiles and Geomembranes, 2006, 24(3): 175-187

[8] PowrieW. Limit equilibrium analysis of embedded retaining walls [J]. Geotechnique, 1996, 46(4): 709-723

[9] DiakoumiM, PowrieW. Mobilisable strength design for flexible embedded retaining walls [J]. Geotechnique, 2013, 63(2): 95-106

[10] AlA L, SitarN. Seismic earth pressures on cantilever retaining structures [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2010, 136(10): 1324-1333

[11] AulbachB, ZieglerM, SchÜTtrumpfH. Design aid for the verification of resistance to failure by hydraulic heave [J]. Procedia Engineering, 2013, 57: 119

[12] SuQ, ZhangX A. Kinematic approach for seismic stability analysis of cantilever retaining wall [C]//. CICTP 2014@Safe, Smart, and Sustainable Multimodal Transportation Systems. ASCE, 2014888-895

[13] LiX, WuY, HeS. Seismic stability analysis of gravity retaining walls [J]. Soil Dynamics and Earthquake Engineering, 2010, 30(10): 875-878

[14] HeS, OuyangC, LouY. Seismic stability analysis of soil nail reinforced slope using kinematic approach of limit analysis [J]. Environmental Earth Sciences, 2012, 66(1): 319-326

[15] ZhangD, SunZ, ZhuC. Reliability analysis of retaining walls with multiple failure modes [J]. Journal of Central South University, 2013, 20: 2879-2886

[16] ZhangX, HeS, SuQ, JiangW. Seismic stability analysis of pre-stressed rope of anti-slide retaining wall [J]. Geotechnical and Geological Engineering, 2013, 31(4): 1393-1398

[17] ChenW FLimit analysis and soil plasticity [M], 2013AmsterdamElsevier

[18] MikolaR G, SitarNSeismic earth pressures on retaining structures in cohesionless soils [R], 2013BerkeleyCalifornia Department of Transportation (Caltrans)

[19] KramerS LGeotechnical earthquake engineering [M], 1996New JerseyPrentice-Hall