Abstract Using the upper bound method with inclined interface blocks,the slope stability and ultimate bearing capacity problems are solved to obtain the best upper bound solutions by virtue of the numerical approach. The traditional numerical optimization algorithms always stuck in local minima because of the inclined interface angles as optimization variables. In this paper,taking the bearing capacity of non-gravity foundation for example,the micro-genetic algorithm combined with nonuniform mutation algorithm is introduced to search the critical failure modes. The results show that the improved genetic algorithm can make the problem converging strongly to the theoretical solution,which is better than traditional numerical optimization algorithms in global searching and local convergence ability. More accurate solution can be obtained by combining the improved genetic algorithm with simplex method or optimizing slip surface coordinates and inclined interface angles separately. Finally,the empirical factor of bearing capacity formula with the joined influence of soil weight is verified by this numerical method.
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Received: 17 August 2012
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