Geomechanics and Engineering

Techno-Press (테크노프레스)
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Mathematical model for rock-soil slope stability based on numerical solution

  • Shan Hua (School of Earth Science and Resources, Chang'an University) ;
  • Maryam Shokravi (Department of Education, Mehrab High School) ;
  • S.S. Wang (School of Earth Science and Resources, Chang'an University)
  • Received : 2023.04.26
  • Accepted : 2023.10.23
  • Published : 2023.11.10
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Abstract

In this article, a two-phase random medium is assumed for geometric interfaces between rock and soil based on Gaussian field and piezoelectric layer. The structure is modeled by thick plate mathematically and the numerical model is applied to approximation the statistical features of the safety. The elastic medium is simulated with two parameters of spring and shear. The structure is modelled by sinusoidal shear deformation theory (SSDT) and by utilizing the energy method, the final governing equations are derived. Using differential quadrature method, the motion equations are solved for obtaining the failure mode of the rock-soil slope. The results show that the safety factor of rock is dependent to the soil volume faction significantly. Numerical results show that as the structure length is increased, the safety load is decreased. In addition, the application of negative voltage improves the safety of the structure.

Keywords

References

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