Nonlinear Mohr–Coulomb yield criterion: Integration in ADMM-based finite element limit analysis formulation and application to slope stability assessment
M. Vicente da Silva
Abstract
This paper details the implementation of a nonlinear yield criterion in an ADMM-based finite element limit analysis formulation. The criterion represents a generalization of the widely used Mohr–Coulomb criterion. The current formulation is designed to provide rigorous upper and lower bound solutions for plane strain condition problems. The effectiveness of this new numerical tool is demonstrated through its application to the traditional geotechnical problem of slope stability analysis. Highly accurate slope stability factors are determined for a practical range of soil parameters, and the results are validated against values proposed by other authors whenever such data is available.
Topics & Concepts
Limit analysisFinite element methodLimit (mathematics)Stability (learning theory)Nonlinear systemYield (engineering)Finite element limit analysisCoulombMohr–Coulomb theoryMathematicsStructural engineeringApplied mathematicsEngineeringMixed finite element methodMathematical analysisPhysicsComputer scienceThermodynamicsElectronQuantum mechanicsMachine learningGeotechnical Engineering and AnalysisDam Engineering and SafetyGeotechnical Engineering and Soil Stabilization