Simple and Efficient Tetrahedral Finite Elements With Rotational Degrees of Freedom for Solid Modeling
A mixed variational principle and derivation of two simple and efficient tetrahedral finite elements with rotational degrees of freedom (DOF) are presented. Each element has four nodes. Every node has six DOF, which include three translational and three rotational DOF. Each element is capable of pro...
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| Veröffentlicht in: | Journal of computing and information science in engineering 2007-12, Vol.7 (4), p.382-393 |
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| container_title | Journal of computing and information science in engineering |
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| creator | Hua, X To, C. W. S |
| description | A mixed variational principle and derivation of two simple and efficient tetrahedral finite elements with rotational degrees of freedom (DOF) are presented. Each element has four nodes. Every node has six DOF, which include three translational and three rotational DOF. Each element is capable of providing six rigid-body modes. The rotational DOF are based on the displacement formulation, while the translational DOF are hinged on the hybrid strain Hellinger–Reissner functional. Explicit expressions for stiffness matrices are obtained. Element performance has been evaluated with benchmark problems, indicating that they have superior accuracy compared with other lower-order tetrahedral elements. |
| doi_str_mv | 10.1115/1.2798120 |
| format | Article |
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| ispartof | Journal of computing and information science in engineering, 2007-12, Vol.7 (4), p.382-393 |
| issn | 1530-9827 1944-7078 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_31566211 |
| source | ASME Transactions Journals (Current) |
| subjects | Applied sciences Computer aided design Computer science control theory systems Exact sciences and technology Software |
| title | Simple and Efficient Tetrahedral Finite Elements With Rotational Degrees of Freedom for Solid Modeling |
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