| 钟万勰,纪峥.理性有限元[J].计算力学学报,1996,13(1): |
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| 理性有限元 |
| Rational finite element |
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| DOI：10.7511/jslx19961001 |
| 中文关键词: 有限元法/理性有限元 |
| 英文关键词:finite element method/rational finite element |
| 基金项目: |
| 钟万勰 纪峥 |
| 大连理工大学工程力学研究所!大连，116023 |
| 摘要点击次数: 1612 |
| 全文下载次数: 1 |
| 中文摘要: |
| 提出了与常现有限元迥然不同的理性有限元列式。其方法论的差别在于理性有限元充分考虑了力学的微分方程，用方程的解来逼近单元内部场．即以力学的需求为主导，再用相应的数学方法推导。并用理住平面四边形元RQ4为典型予以表述。数值结果表明理性有限元的优越性质。 |
| 英文摘要: |
| The rational FEM formulation, which is quite different from the usual FEM formulation, is proposed here. The methodological difference is that the rational FEM emphasizes the PDEs of the problem and use its solutions to approximate the internal fields of the element. The methe matical derivation is guided by the characteristics of the problem, i. e. object oriented. The rational plane 4-node element (RQ4) is derived for demonstration. Numerical results demonstrate the superiority of the rational FEM. |
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