Limit Analysis and Limit Equilibrium Solutions in Soil Mechanics

Soil Mechanics and Plastic Analysis or Limit Design

Non-linear programming applied to finite element lower bound limit analysis in soil mechanics

The non-linear programming theory along with active set algorithm is employed to solve the objective function of quadratic type problem in soil mechanics under plain strain and two dimensional loading conditions. Combination of lower bound limit analysis and finite element method leads to an appropriate procedure for determining the collapse load of the system. In this combined method, a linear...

Classical Limit of Quantum Mechanics

para o valor esperado de uma dada observável fı́sica A = A(p, q, t) representada pelo operador Â. As equações (1) e (2) são válidas desde que o potencial externo V varie vagarosamente dentro de um pacote de onda bem localizadoψPE (Pacote de Ehrenfest). Assim, de acordo com os livros-texto [1], as equações de Newton são obtidas como limite clássico da equação de Schrödinger. No entanto, Ballentin...

Limit Equilibrium Analysis of the Influence of Matric Suction on Unsaturated Soil Slope Stability

In slope engineering, soils are commonly at unsaturated state. The question of how to apply unsaturated soil mechanics theory to the slope stability analysis has become a hot spot in today’s geotechnical engineering research. Based on the experimental research of how shear strength of residual soil varies with water content, reasonable computation modules can be created. By using limit equilibr...

Slope stability analysis with FLAC and limit equilibrium methods

The factor of safety for slopes (FS) has been traditionally evaluated using two-dimensional limit equilibrium methods (LEM). However the FS of a slope can also be computed with FLAC by reducing the soil shear strength in stages until the slope fails. This method is called the shear strength reduction technique (SSR). Many authors have pointed out several advantages of SSR over the limit equilib...