Simple Polynomial Reissner–Mindlin Shell Model and Its Application in Efficient Analysis of Complex Underground Structures
The isogeometric (IG) Reissner–Mindlin (R–M) shell model solves the problem of shear and membrane locking that besets the finite element (FE) R–M shell model of nonthick underground structures, but still faces complicated modeling and computation, especially for the multijoint structures. In order t...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2024/9990466 |
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| author | Jingxu Chen Jihui Huang Yifeng Peng |
| author_facet | Jingxu Chen Jihui Huang Yifeng Peng |
| author_sort | Jingxu Chen |
| collection | DOAJ |
| description | The isogeometric (IG) Reissner–Mindlin (R–M) shell model solves the problem of shear and membrane locking that besets the finite element (FE) R–M shell model of nonthick underground structures, but still faces complicated modeling and computation, especially for the multijoint structures. In order to change such situation, a simple polynomial (SP) R–M shell model is proposed. Similar to the IG displacement, the SP displacement has the advantage of easy locking reduction due to its convenience in degree elevation. The definition of the SP displacement is independent of the shape and the control points, so the elements can be divided with no new degrees of freedom created, which lays a foundation for the simplified modeling strategy of “joint definition after block description.” Micro-width connectors are introduced to unify the modeling of interblock links, interblock joints, and intrablock joints, and to quantitatively determine the actual state of each joint through incremental iteration. A program with parameterized preprocessing and postprocessing is written based on the SP R–M shell model to realize the one-key analysis of complex underground structures. As verification, three engineering cases are modeled and computed. The errors of typical displacements and bending moments from the SP R–M shell model and the IG R–M shell model are no more than 3%, while the errors of the results from the FE R–M shell model and the IG R–M shell model are around 20%, which reveals the feasibility and advantages of the SP R–M shell model. |
| format | Article |
| id | doaj-art-0a5f07bf396e4129b49bc9d4381a8298 |
| institution | Kabale University |
| issn | 1687-8094 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-0a5f07bf396e4129b49bc9d4381a82982024-12-08T00:00:02ZengWileyAdvances in Civil Engineering1687-80942024-01-01202410.1155/2024/9990466Simple Polynomial Reissner–Mindlin Shell Model and Its Application in Efficient Analysis of Complex Underground StructuresJingxu Chen0Jihui Huang1Yifeng Peng2School of Rail TransitSchool of Rail TransitCivil Engineering Project Management Department of Fuzhou Binhai ExpressThe isogeometric (IG) Reissner–Mindlin (R–M) shell model solves the problem of shear and membrane locking that besets the finite element (FE) R–M shell model of nonthick underground structures, but still faces complicated modeling and computation, especially for the multijoint structures. In order to change such situation, a simple polynomial (SP) R–M shell model is proposed. Similar to the IG displacement, the SP displacement has the advantage of easy locking reduction due to its convenience in degree elevation. The definition of the SP displacement is independent of the shape and the control points, so the elements can be divided with no new degrees of freedom created, which lays a foundation for the simplified modeling strategy of “joint definition after block description.” Micro-width connectors are introduced to unify the modeling of interblock links, interblock joints, and intrablock joints, and to quantitatively determine the actual state of each joint through incremental iteration. A program with parameterized preprocessing and postprocessing is written based on the SP R–M shell model to realize the one-key analysis of complex underground structures. As verification, three engineering cases are modeled and computed. The errors of typical displacements and bending moments from the SP R–M shell model and the IG R–M shell model are no more than 3%, while the errors of the results from the FE R–M shell model and the IG R–M shell model are around 20%, which reveals the feasibility and advantages of the SP R–M shell model.http://dx.doi.org/10.1155/2024/9990466 |
| spellingShingle | Jingxu Chen Jihui Huang Yifeng Peng Simple Polynomial Reissner–Mindlin Shell Model and Its Application in Efficient Analysis of Complex Underground Structures Advances in Civil Engineering |
| title | Simple Polynomial Reissner–Mindlin Shell Model and Its Application in Efficient Analysis of Complex Underground Structures |
| title_full | Simple Polynomial Reissner–Mindlin Shell Model and Its Application in Efficient Analysis of Complex Underground Structures |
| title_fullStr | Simple Polynomial Reissner–Mindlin Shell Model and Its Application in Efficient Analysis of Complex Underground Structures |
| title_full_unstemmed | Simple Polynomial Reissner–Mindlin Shell Model and Its Application in Efficient Analysis of Complex Underground Structures |
| title_short | Simple Polynomial Reissner–Mindlin Shell Model and Its Application in Efficient Analysis of Complex Underground Structures |
| title_sort | simple polynomial reissner mindlin shell model and its application in efficient analysis of complex underground structures |
| url | http://dx.doi.org/10.1155/2024/9990466 |
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