The variational principles and application of nonlinear numerical manifold method

Abstract

The physical-cover-oriented variational principle of nonlinear numerical manifold method (NNMM) for the analysis of plastical problems is put forward according to the displacement model and the characters of numerical manifold method (NMM). The theoretical calculating formulations and the controlling equation of NNMM are derived. As an example, the plate with a hole in the center is calcaulated and the results show that the solution precision and efficiency of NNMM are agreeable.