Abstract
In this note, the modified Lysmer method based on discrete elements and nonlinear programming technique has been extended to study the stability of a vertical cut in both homogeneous cohesive and cohesive–frictional soils to obtain lower bound solutions. For saturated clays under undrained condition, the calculated stability number (3.69) is closer to the upper bound value (3.78) than the lower bound value (3.64) reported in the literature until now. For cohesive–frictional soils, the obtained lower bound limit load compares well with that using a finite-element elastoplastic solution. Key words : lower bound, vertical cut, cohesive soils, stability number, discrete element, nonlinear programming.
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