关键词: 有限元法, 光滑节点域有限元法, 光滑节点域, 光滑应变矩阵, 光滑有限元形函数

Abstract:

The new theories of node-based smoothed finite element method (NS-FEM) were discussed by means of comparison with the traditional finite element method (FEM), which proposed formation of the node-based smoothed cells, computational methods of the smoothed strain matrix and the shape functions for NS-FEM. The analyses of typical examples were conducted by matlab, and the results showed that the NS-FEM’s calculation of stiffness matrix was softer than FEM’s, and the displacement and strain energy were the upper limit of solution. Meanwhile, there were higher accuracy of numerical solutions for stress, strain and strain energy, and it would not produce volume lock phenomenon.

Key words: finite element method, node-based smoothed finite element method, node-based smoothed cells, smoothed strain matrix, shape functions for smoothed finite element method