A Slope Limit Analysis Approach Based On Translation & Rotation Kinematical Field

Slope is one of the most familiar engineering. The slide slope is one of the three geologic disasters which may cause much property loss and also many deaths. As the fast development of the economy construction, the study on the stability of slope is of great significance.Firstly, this thesis introduces the most popular methods of the stability analysis of slope, including the Limit equilibrium approach, the finite element approach and limit analysis approach. Based on the rotation kinematical field and translation kinematical field, a particular study on the upper bound limit analysis of slope stability is made. A kinematical field considering both translation and rotation is proposed. And the rotation and translation kinematical field are just two particular examples of its.Assuming the critical slide surface are circle arc, logarithmic spiral and other arbitrary form, the thesis uses the improved Monte Carlo method to search the critical slide surface, and use the three kinematical approaches mentioned above to calculate the factor of safety. Based on a great number of numeric examples, the following conclusions can be made. (1) For a fixed slide surface, the angle velocity has great effect on the energy dissipation between the labor blocks. And the most possible angle velocity makes the minimum safety factor. (2)Comparing to the translation kinematical field, the approach proposed in the thesis can give a less value of safety factor which is more closed to the true value. (3)The critical surface is not always the one proposed by Chen for a homogeneous slope. (4)The safety factor is higher when non-associate flow rule is used. At last, the safety factor of a landfill is analysed.