<p>Among the various techniques available for evaluating slope performance in earthquake-prone regions, the pseudo-static approach remains the predominant method for seismic slope stability analysis. In this study, a recently developed finite element method known as the Stress Deviator Increasing Method (SDIM), combined with seismic pseudo-static analysis is employed, to assess the stability of homogeneous slopes and generate stability charts. This innovative approach evaluates slope stability by progressively increasing the mobilized principal stress deviator in a controlled manner, which involves a parameter regulating the expansion of principal stress Mohr’s circles. The SDIM process iterates until soil failure is reached. Initially, a concise description of the SDIM is provided and the Fortran code interpreting the relevant computational calculations is extended to include pseudo-static loading (S<sup>4</sup>DINA 3.0). Subsequently, S<sup>4</sup>DINA 3.0 is employed to graphically establish Limit State Lines (LSL) known as g-lines for various slope angles and a range of horizontal seismic coefficients. A chart example is presented to elucidate the significance of a g-line and show how a Factor of Safety (FOS) can be graphically derived for any combination of (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(c\)</EquationSource> </InlineEquation>, <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\phi\)</EquationSource> </InlineEquation>). Validation examples are also provided to demonstrate the accuracy of the stability charts, which exhibited perfect agreement with results from limit analysis and other numerical methods.</p>

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Pseudo-static analysis of slope stability by finite element stress deviator increasing method-design charts under yield coefficients

  • Kahlerras Amina,
  • Amar Bouzid Djillali

摘要

Among the various techniques available for evaluating slope performance in earthquake-prone regions, the pseudo-static approach remains the predominant method for seismic slope stability analysis. In this study, a recently developed finite element method known as the Stress Deviator Increasing Method (SDIM), combined with seismic pseudo-static analysis is employed, to assess the stability of homogeneous slopes and generate stability charts. This innovative approach evaluates slope stability by progressively increasing the mobilized principal stress deviator in a controlled manner, which involves a parameter regulating the expansion of principal stress Mohr’s circles. The SDIM process iterates until soil failure is reached. Initially, a concise description of the SDIM is provided and the Fortran code interpreting the relevant computational calculations is extended to include pseudo-static loading (S4DINA 3.0). Subsequently, S4DINA 3.0 is employed to graphically establish Limit State Lines (LSL) known as g-lines for various slope angles and a range of horizontal seismic coefficients. A chart example is presented to elucidate the significance of a g-line and show how a Factor of Safety (FOS) can be graphically derived for any combination of ( \(c\) , \(\phi\) ). Validation examples are also provided to demonstrate the accuracy of the stability charts, which exhibited perfect agreement with results from limit analysis and other numerical methods.