An explicit hybrid-stabilised eighteen-node solid element for thin shell analysis
In this dissertation, the explicit hybrid stabilisation method is applied to formulate stabilisation vectors for the uniformly reduced integrated eighteen-node solid element. An assumed contravariant stress is devised based on the strain associated with the commutable mechanisms of a geometrically r...
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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2009
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| Online Access: | http://hdl.handle.net/10356/19858 |
| _version_ | 1826116190200659968 |
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| author | Tay, Ming Hui. |
| author2 | Yi, Sung |
| author_facet | Yi, Sung Tay, Ming Hui. |
| author_sort | Tay, Ming Hui. |
| collection | NTU |
| description | In this dissertation, the explicit hybrid stabilisation method is applied to formulate stabilisation vectors for the uniformly reduced integrated eighteen-node solid element. An assumed contravariant stress is devised based on the strain associated with the commutable mechanisms of a geometrically regular element. It will be seen that the stabilisation vectors can be derived and programmed explicitly without resorting to numerical integration loops. Admissible matrix formulation is employed in evaluating the flexibility matrix which becomes diagonal and thus induces no inversion cost. The element accuracy is comparable to other state-of-the-art nine-node shell and eighteennode solid elements. FORTRAN subroutines to constructing the stabilisation vectors are also presented. |
| first_indexed | 2024-10-01T04:07:17Z |
| format | Thesis |
| id | ntu-10356/19858 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:07:17Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | ntu-10356/198582023-03-11T17:05:53Z An explicit hybrid-stabilised eighteen-node solid element for thin shell analysis Tay, Ming Hui. Yi, Sung School of Mechanical and Production Engineering DRNTU::Engineering::Mechanical engineering::Mechanics and dynamics In this dissertation, the explicit hybrid stabilisation method is applied to formulate stabilisation vectors for the uniformly reduced integrated eighteen-node solid element. An assumed contravariant stress is devised based on the strain associated with the commutable mechanisms of a geometrically regular element. It will be seen that the stabilisation vectors can be derived and programmed explicitly without resorting to numerical integration loops. Admissible matrix formulation is employed in evaluating the flexibility matrix which becomes diagonal and thus induces no inversion cost. The element accuracy is comparable to other state-of-the-art nine-node shell and eighteennode solid elements. FORTRAN subroutines to constructing the stabilisation vectors are also presented. Master of Science (Mechanics & Processing of Materials) 2009-12-14T06:51:18Z 2009-12-14T06:51:18Z 1996 1996 Thesis http://hdl.handle.net/10356/19858 en NANYANG TECHNOLOGICAL UNIVERSITY 43 p. application/pdf |
| spellingShingle | DRNTU::Engineering::Mechanical engineering::Mechanics and dynamics Tay, Ming Hui. An explicit hybrid-stabilised eighteen-node solid element for thin shell analysis |
| title | An explicit hybrid-stabilised eighteen-node solid element for thin shell analysis |
| title_full | An explicit hybrid-stabilised eighteen-node solid element for thin shell analysis |
| title_fullStr | An explicit hybrid-stabilised eighteen-node solid element for thin shell analysis |
| title_full_unstemmed | An explicit hybrid-stabilised eighteen-node solid element for thin shell analysis |
| title_short | An explicit hybrid-stabilised eighteen-node solid element for thin shell analysis |
| title_sort | explicit hybrid stabilised eighteen node solid element for thin shell analysis |
| topic | DRNTU::Engineering::Mechanical engineering::Mechanics and dynamics |
| url | http://hdl.handle.net/10356/19858 |
| work_keys_str_mv | AT tayminghui anexplicithybridstabilisedeighteennodesolidelementforthinshellanalysis AT tayminghui explicithybridstabilisedeighteennodesolidelementforthinshellanalysis |