非线性数值流形方法的变分原理与应用

The Variational Principles and Application of Nonlinear Numerical Manifold Method

针对非线性力学问题 ,根据数值流形方法的特点及相应的位移模式 ,得到了面向物理覆盖的非线性数值流形方法的变分原理 ,详细推导了基于变分原理的非线性数值流形方法的理论计算公式 ,建立了非线性数值流形方法的理论体系和控制方程· 作为实际应用 ,给出了相应的数值算例 ,结果表明 。

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.