Seismic stability analysis of a hunchbacked retaining wall under passive state using method of stress characteristics
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RESEARCH PAPER
Seismic stability analysis of a hunchbacked retaining wall under passive state using method of stress characteristics G. Santhoshkumar1 • Priyanka Ghosh1 Received: 11 July 2019 / Accepted: 29 May 2020 Ó Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract The potential use of a hunchbacked retaining wall over a conventional retaining wall under the seismic passive state is emphasised in this study employing the method of stress characteristics coupled with the modified pseudo-dynamic approach. Unlike the available studies established with the limit equilibrium or the limit analysis method where a predefined failure mechanism is assumed prior to the analysis, the failure surface is continuously traced in due course of the present analysis. The seismic stability of a hunchbacked retaining wall under the passive condition is found to be affected greatly while considering the effect of damping of the soil-wall and the phase difference of the seismic waves. A detailed parametric study is conducted considering the influence of different soil and wall parameters such as soil-wall inertia, soil friction angle, wall inclination and roughness. The present results are obtained from a rigorous computational effort without assuming a failure mechanism and found to be in good agreement with the previous studies available in the literature. Keywords Earthquake Earth pressure Hunchbacked retaining wall Method of stress characteristics Modified pseudodynamic approach Abbreviations ah, a v Horizontal and vertical seismic accelerations B, H Width and height of the wall D S, D W Constant damping ratio of the soil and the wall FN , FT Normal and tangential components of forces acting at the base of the wall FSS Factor of safety against sliding g Acceleration due to gravity H 1, H 2 Height of upper and lower part of the wall k h, k v Horizontal and vertical seismic acceleration coefficients Kpq1, Kpq2 Passive earth pressure coefficients for upper and lower part of the wall due to surcharge Kpc1, Kpc2 Passive earth pressure coefficients for upper and lower part of the wall due to unit weight of the soil
Ppe1, Ppe2
Ppq1, Ppq2 q QHS, QVS QHW, QVW t T VpS, VsS VpW, VsW WS WW x, y a1, a 2
& Priyanka Ghosh [email protected] 1
Department of Civil Engineering, Indian Institute of Technology, Kanpur 208 016, India
d1, d 2 / c, cc
Lateral thrusts acting on upper and lower part of the wall due to surcharge and unit weight of the soil Lateral thrusts acting on upper and lower part of the wall due to surcharge only Uniformly distributed surcharge Horizontal and vertical inertial forces in the backfill soil Horizontal and vertical inertial forces in the wall Time Period of lateral shaking Primary and shear wave velocities in the soil Primary and shear wave velocities in the wall Weight of the backfill soil Weight of the wall Axes in two-dimensional Cartesian coordinate system Inclination angle for upper and lower part of the wall Wall roughness at upper and lowe
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