Numerical study of axisymmetric stability problems in geotechnical engineering by limit analysis
DOI:
https://doi.org/10.14195/2184-8394_108_2Abstract
This work presents a mixed formulation for limit analysis using the finite element method (FEM) to solve stability problems in geotechnical engineering under axisymmetric conditions, where the obtained mathematical programming problem is treated by non linear methods. The soil can be modeled as continuous or reinforced medium. The continuum is discretized using 4-node quadrilateral elements. The interfaces (soil structure and soil-reinforcement) can be modeled using 4-node zero-thickness elements. The reinforcement can be discretized through special 2-node elements, without thickness. The soil and the interfaces are idealized as perfect rigid-plastic materials and the associated rule of plasticity is obeyed. For the soil description, the Mohr-Coulomb yield criterion is used. The yield condition for the interfaces is described by the Coulomb criterion. The examples studied by the numerical implementation (shallow footing in homogeneous or reinforced soil, circular excavation and pile under traction) reveal a relevant performance of the methodology presented in this paper for the solution of geotechnical problems under axisymmetric conditions.
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