Application Study Of Numerical Manifold Method In Discontinuous Deformation For Rockmass

Numerical manifold method is one of the latest numerical methods in these days, which plays an important role in the area of discontinuous medium of Geotechnical Engineering. It's too difficult to solve the problem by using a single method because of the existing of continuous and discontinuous interface in rockmass. The theory is based by the finite cover technique of numerical manifold method in an uniform mathematics space to solve both continuous and discontinuous deformation problems. How to select the weighted function much effective is the key question for the method. In this paper, studying from the comparisons of several other numerical methods on selecting the weighted function firstly, On the basis of anterior research, the selection of weighted function for numerical manifold method is introduced: focus on any random polygon (manifold element mainly consisted from three physical covers and four physical covers), when selecting linear or nonlinear covered functions. The selection principle and the framework of forming the weighted function on three physical covers and four physical covers are analyzed and discussed, the validity are proved in detail as well, accordingly the necessary condition of selecting the weighted function is presented. The further careful comparisons and analysis between numerical manifold method and DDA method are studied lastly. Combined with some engineering, it is shown that the numerical manifold method is much more potentially capable to simulate complex problems involving initial small deformation, crack triggering and propagation of interfaces and multi-body interaction in geotechnical engineering compared with DDA method.