| 刘卫群,黄颖青.满足PTC的三维非协调形函数的显式处理[J].计算力学学报,1998,15(3):373~377 |
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| 满足PTC的三维非协调形函数的显式处理 |
| An explicit treatment of 3D incompatible shape functions satisfying PTC |
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| DOI：10.7511/jslx19983059 |
| 中文关键词: 非协调元 三维 分片检验 显式 |
| 英文关键词:incompatible element,3D,patch test,explict expression |
| 基金项目:国家自然科学基金 |
| 刘卫群 黄颖青 |
| 中国矿业大学数力系，中国科学技术大学力学与机械工程系 |
| 摘要点击次数: 1306 |
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| 中文摘要: |
| 介绍了满足分片检验条件（ＰＴＣ）的非协调形函数生成方法，显式给出了满足ＰＴＣ的三维非协调元ＮＨ１１的内位移函数。计算表明显式处理后的单元与原单元具有相同的精度，但却在很大程度上节省了单刚形成时间和计算单元应力花费，进一步发挥了非协调元的数值潜力。 |
| 英文摘要: |
| In this paper , a general approach is introduced to generate the incompatible shape functions which satitfy the patch test condition (PTC) . The internal displacement functions of 3D incom- patttble element NH11 are expressed explicitly. Numerical computations show that , the new ele- ment after explicit treatment has the same precision as the original one , but the CPU time of forming the element stiffness matrix and computing element stresses is saved to a great degree. Fumhermore, the new method fully brings out numerical potentialities of incompatible elements. |
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