Abstract: The selections of the weighted factor and the displacement function in numerical manifold method (NMM) which using high-order cover functions are discussed, and the enforcing methods of the essential boundary conditions are also given in this paper. In order to obtain the continuous and accurate stresses as the same as the displacement, moving least-square (MLS) interplants are used to construct whole approximations. The numerical examples indicate that the theory and method are accurate and effective.

Key words: Cover functions, Finite element method, Manifold method, Moving least-squares