Análise tridimensional de estabilidade de talude utilizando o método de equilíbrio limite aperfeiçoado
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2009-09-29
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Universidade Federal de Goiás
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The main objective of this research is to investigate a three-dimensional (3D) slope stability analysis technique using the enhanced limit equilibrium method. The other objectives are to evaluate the practical applicability of the 3D analysis method, to interpret the physical significance of 3D stress states to the stability of a slope, and to determine the relationship between two-dimensional and three-dimensional factors of safety. For that, a computer program called SAFE3D was developed. The computer program is used to calculate the three-dimensional factor of safety (FS3D) for pre-established slip surfaces with spherical or ellipsoidal shape. The computer program is based on the two-dimensional analysis method proposed by Kulhawy, combined with an extension of this theory to 3D conditions that is proposed herein. The method developed consists in determining the in-situ stress fields by means of an elastic 3D stress-strain analysis using the finite element method. The 3D stress fields are then used to calculate the normal and shear stresses along any pre-determined slip surface and to determine the value of FS3D. Two slope stability problems widely studied by other researchers were analyzed in order to validate the program SAFE3D. The first problem corresponds to a symmetric cohesive slope and the second problem corresponds to a non-symmetric slope with cohesion and friction. Excellent results were obtained, suggesting that the program SAFE3D is efficient, stable, and robust for the problems studied. The values of FS3D obtained herein are similar to the values presented by other authors using distinct methods of analysis. A parametric study was carried out considering the shape of the slip surface and the shape of the face of the slope, including concave and convex slopes. The results indicate that the values of FS3D are always higher than the two-dimensional factor of safety (FS2D) of the intermediate surface. The value of FS3D decreased for slip surfaces extended across the sliding direction and approached the value of FS2D. It was determined that the Poisson's ratio has an important influence on the FS3D. The value of FS3D increases with the increase of Poisson's ratio. This influence varies with the geometry of the problem and the treatment given to the cinematically inadmissible shear stresses. Finally, a 3D analysis of the historic case of Lodalen is presented. The results indicate that the FS3D at the time of the slide is slightly higher and approaches 1 if the less favorable shear strength parameters determined by previous studies are used. In this case, the values obtained for FS2D are considerably smaller than 1, thereby indicating the potential superiority of the 3D approach.
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ADRIANO, Pedro Rogério Ribeiro. Three-dimensional analysis of slope stability using the limit equilibrium method improved. 2009. 156 f. Dissertação (Mestrado em Engenharias) - Universidade Federal de Goiás, Goiânia, 2009.