https://orcid.org/0000-0002-8744-8494
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ABSTRACT
Stability analysis of earth slope is important for the design of slopes in earthquake-prone areas. This paper presents a seismic analysis of c-ϕ soil slope considering the effect of the Rayleigh wave along with primary and shear waves considering all the boundary conditions including a zero-stress boundary condition at the ground surface. The failure surface is assumed as a logarithmic failure surface and the present analysis is conducted using the limit equilibrium method. A two-dimensional numerical model is developed using PLAXIS 2D to validate the analytical model. The results obtained from present analytical and numerical solutions are compared with the results of the available literature. Further, a parametric study is also carried out to highlight the effect of various soil and seismic parameters on the stability of the slope. The present results are more critical for the evaluation of slope stability by incorporating all major seismic waves and non-linear failure surfaces.
List of notation
| a (z,t) | = | Acceleration at depth z, time t |
| Qh, Qv | = | Horizontal and Vertical inertia forces due to seismic acceleration respectively |
| b1, b2 | = | Width of iˊth and jˊth slices respectively |
| c | = | Cohesion of the soil |
| ϕ | = | Soil friction angle |
| α | = | Angle of the base of the vertical slice with horizontal |
| iˊ, jˊ | = | Number of the vertical slice at different zones |
| H | = | Height of slope |
| g | = | Acceleration due to gravity |
| G | = | Shear modulus of soil |
| ω | = | Angular frequency of base shaking |
| kh, kv | = | Horizontal and Vertical seismic acceleration respectively |
| q | = | Surcharge load per unit length |
| t | = | Any time during vibration |
| T | = | Time Period |
| vs | = | Shear wave velocity |
| vp | = | Primary wave velocity |
| β | = | Angle of Slope with horizontal |
| γ | = | Unit weight of soil |
| FOS | = | Factor of safety of the slope |
| η | = | Wavelength of the vertically propagating shear wave |
| λ | = | Wavelength of the vertically propagating primary wave |
| ro | = | Initial radius of the logarithmic spiral arc |
| r | = | Final radius of the logarithmic spiral arc |
| ω | = | Angular frequency of base shaking |
| PGA | = | Peak ground acceleration |
| χ, ψ | = | Potential functions of Rayleigh wave |
| vR | = | Rayleigh wave velocity |
| SMC | = | Strong motion CD-ROM |
| mf | = | Mobilization factor |
| t/T | = | Time ratio |
Disclosure statement
No potential conflict of interest is reported by the author(s).