| 田中旭,唐立民.两个新型的八结点块体单元—三维离散算子差分法[J].计算力学学报,2002,19(2):202~206 |
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| 两个新型的八结点块体单元—三维离散算子差分法 |
| Two new eight node brick element three dimension discrete operator difference method |
| 修订日期：1999-12-10 |
| DOI：10.7511/jslx20022044 |
| 中文关键词: 弱形式,导出方程,离散算子差分法,有限元法 |
| 英文关键词:weak forms,driving equation,discrete operator difference method,finite element method |
| 基金项目: |
| 田中旭 唐立民 |
上海大学上海市机械自动化及机器人重点实验室 200072
(田中旭)
，大连理工大学工程力学系 116024
(唐立民)
，上海交通大学工程力学系 200030
(刘正兴)
，吉林油田集团公司 131100(张立志)
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| 摘要点击次数: 1595 |
| 全文下载次数: 8 |
| 中文摘要: |
| 给出了弹性力学三维问题的离散算子差分法 ,讨论离散算子差分法在三维问题中的特点 ,意在为该方法的进一步发展提供依据 ,为应用弱形式进行数值求解的研究提供参考。本文从弹性力学平衡方程更为一般的弱形式出发 ,给出了含边界参数的弱形式方程。由该方程不仅可以得到有限元法 ,还可得到离散算子差分法。给出了两个八结点块体单元 ,虽然单元中位移函数是非协调的 ,不需特殊处理便可保证离散格式收敛 ,并对单元位移有十分好的反映能力。 |
| 英文摘要: |
| A discrete operator difference method is established for three dimension elastic problems. The character of three dimension method is investigated in order to provide a basic understanding for its further development and some references for the study of solutions by using weak form equations. A weak form equation containing boundary parameters is given for the three dimension elastic problems. Both finite element method and discrete operator difference method can be pushed forward from which. Two kinds of the eight node brick elements are deduced by using the discrete operator difference method. Although the displacements are non conforming, their discrete schemes are convergent without additional disposal. Furthermore, the method is very simple both in formula's generating and programming, and the computational results are stable with meshes changed. |
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