| タイトル | Existence and stability, and discrete BB and rank conditions, for general mixed-hybrid finite elements in elasticity |
| 著者（英） | Atluri, S. N.; Xue, W.-M. |
| 著者所属（英） | Georgia Inst. of Tech. |
| 発行日 | 1985-01-01 |
| 言語 | eng |
| 内容記述 | In this paper, all possible forms of mixed-hybrid finite element methods that are based on multi-field variational principles are examined as to the conditions for existence, stability, and uniqueness of their solutions. The reasons as to why certain 'simplified hybrid-mixed methods' in general, and the so-called 'simplified hybrid-displacement method' in particular (based on the so-called simplified variational principles), become unstable, are discussed. A comprehensive discussion of the 'discrete' BB-conditions, and the rank conditions, of the matrices arising in mixed-hybrid methods, is given. Some recent studies aimed at the assurance of such rank conditions, and the related problem of the avoidance of spurious kinematic modes, are presented. |
| NASA分類 | STRUCTURAL MECHANICS |
| レポートNO | 86A34464 |
| 権利 | Copyright |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/385074 |
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