Papers by Keyword: Drucker-Prager Criterion

Abstract: In order to implement the non-linear Hoek-Brown (HB) shear strength reduction (SSR) on commercially available softwares, this paper derives the relationship between the Drucker-prager (DP) criterion and HB criterion under the condition of plane strain. The equivalent DP parameters can be approximately estimated after serious transformations of parameters between the HB and Mohr-Coulomb (MC) yield functions. To assess the effect of dilation on the stability of slope, the non-associated flow rule, which cannot be contained in the existing limit equilibrium methods, is selected in our analysis, and the SSR-based results of a simple slope indicate that: If the angle of dilatancy ψ is taken to be zero, the factor of safety calculated by the SSR method is very close to that by the limit equilibrium method; if ψ is greater than zero, the factor of safety calculated by the SSR method is greater than that by the limit equilibrium method, and the effect of dilation on the stability of slope can be approximately described by a liner function.

Abstract: Many hydroelectric power stations are constructed on rock foundations. Therefore, the stability of rock slope is critical for the engineering especially in the excavation state. The analysis for consequent rock slopes is not identical with the earth slope because of their material characteristics. In this paper, it is combined the elastic-plastic finite element method and safe factor strength reduction method for the solution of problem. Considering the multi-layer material of the rock slope, Drucker- Prager criterion is adopted for determining the yield station which has the modified format of Morh-Coulomb criterion overcome the corner point problem of application proper for rock material. The conditions both of displacement mutability and cut-through of plastic zone are described in detail and research deep for failure judged. Analysis and compare of the situations which contain displacement, plastic zone between pre-excavation and post-excavation by certain numerical example, some useful results are given for stability analysis of consequent rock slope.

Abstract: Based on the experimental and theoretic studies of the frictional materials in literatures, a generalized non-linear strength theory is presented. The generalized strength theory has the same mathematical form as classical Drucker-Prager strength (D-P) criteria. It describes strength characteristics of various materials using a unified formula, and it includes or approximates numerously present strength criterions. The shape of generalized Drucker-Prager (GDP) criteria is convexly smooth curve between the classical D-P criteria (upper bound) and the external contour line of Mohr-Coulomb (M-C) criteria (lower bound) on the deviator-plane, and a straight line on the meridian-plane. Through variation of parameters in the criteria, a series of criterions ranging between these two bounds may be introduced by the unified strength criteria, and the different strength properties of various materials were denoted.

Abstract: There are several different yield surfaces of Drucker-Prager yield criterion which corresponds to Mohr-Coulomb yield criterion in principal stress space. The different yield surfaces are determined by parameters in Drucker-Prager criterion. The influence of the different parameters on computational results is discussed in the paper, and the use of the equivalent Drucker-Prager criterion to Mohr-Coulomb criterion is suggested when elastoplastic analysis is performed in engineering problems.