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| Generalized-node finite element method based on manifold concept |
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| DOI：10.7511/jslx20002034 |
| KeyWord:manifold,generalized node,finite element method,finite element method(FEM) |
| LUAN Mao tian TIAN Rong YANG Qing |
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| Abstract: |
| In this paper, the finite element method with generalized nodes is proposed by applying the concept of manifold method to the modification of the conventional FEM. The fundamental theory together with numerical formulations is presented. The characteristic matrix of the generalized 3 node elements is derived for illustration. Numerical computations for two benchmark problems of plane strain elasticity are performed. The comparisons among the results computed by the proposed method and classical FEMS indicate the superiority of this method over conventional methods. |