Numerical Studies On Bearing Capacity Of Footings And Slope Stability By Reproducing Kernel Partical Method

Based on the Reproducing Kernel Particle Method (RKPM), the study of bearing capacity of strip footings and slope stability is performed. The major works are as follows:1. The literature review RKPM theory is given and major differences between meshfree method and finite element method are illuminated. Then, two examples of RKPM analyses of cantilever beam and plate with a central hole are performed to show how to select kernel function and background mesh for numerical integration. The RKPM algorithm based on incremental analysis is also formulated and the procedures with von Mises yield rule are deduced.2. In case of strip footings, effects of associated and non-associated flow rules and baseroughness on bearing capacity coefficients are studied. It is proven that flow rules affect N_c and N_q greatly, while N_r depends on roughness of base other than flow rules. Therelationship between failure mechanism and base roughness or flow rules is established. Also, considering effects of cohesion, overloading and self-weight, the comparison of results of this study and classical numerical solutions is carried out.3. Several criteria of slope failure are discussed. The influences of discrete particle density, yield rule and flow rule on slope stability are analyzed and the sound values of above-mentioned factors are given for engineering practice.4. Based on numerical analyses of RKPM, a kind of strain analysis method used to seek critical failure surface and calculate factor of safety is proposed, which is simpler than finite element method. The result of a numerical example shows its feasibility.5. The stability analyses of slope with weak foundation and thin weak layer are studied. The factor of safety and failure moods vary correlated to variation of strength ratio. There are two failure mechanisms for a slope with thin weak layer.6. The symmetry of the 1-D Boussinseq equation for transient phreatic flows is discussed in this paper, and its analytical solution under such conditions as initial and boundary conditions is obtained by the method of the Lie group transformation. The errors between the non-linear Boussinesq equation and that of its linearization are compared. Based on the analytical solution, a new method for null error linearization of the Boussinesq equation is proposed, and some principles in the linearization are analyzed.7. Landslide is main type of geological disasters in Shen Zhen area, which has characteristics of small scale, many amount, long span, high loss, etc. Based on some case study, inherent law of landslide development is concluded. It has practical values for the renovation of landslide, particularly for precaution in flood season.