Application of the curvature smoothing technique for four-node quadrilateral Reissner-Mindlin plate element
A quadrilateral element with smoothed curvatures for Reissner-Mindlin structure plates is proposed. A curvature matrix at an arbitrary point is normalized by a non-local approximation over a smoothing function. By choosing a constant smoothed function and applying the divergence theorem, the bending...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Publishing House for Science and Technology
2007-03-01
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| Series: | Vietnam Journal of Mechanics |
| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/5587 |
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| _version_ | 1850044330629136384 |
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| author | Nguyen Xuan Hung Ngo Thanh Phong |
| author_facet | Nguyen Xuan Hung Ngo Thanh Phong |
| author_sort | Nguyen Xuan Hung |
| collection | DOAJ |
| description | A quadrilateral element with smoothed curvatures for Reissner-Mindlin structure plates is proposed. A curvature matrix at an arbitrary point is normalized by a non-local approximation over a smoothing function. By choosing a constant smoothed function and applying the divergence theorem, the bending stiffness matrix calculated on boundaries of smoothing elements (smoothing cells) instead of on their interior. Several numerical results are analyzed to demonstrate high reliability and free locking of the proposed method. |
| format | Article |
| id | doaj-art-3f6d1fc9709940dab31de78f834f8ae4 |
| institution | DOAJ |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 2007-03-01 |
| publisher | Publishing House for Science and Technology |
| record_format | Article |
| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-3f6d1fc9709940dab31de78f834f8ae42025-08-20T02:55:01ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822007-03-0129110.15625/0866-7136/29/1/5587Application of the curvature smoothing technique for four-node quadrilateral Reissner-Mindlin plate elementNguyen Xuan Hung0Ngo Thanh Phong1Department of Mathematics and Informatics, University of Natural Sciences -VNU-HCMDepartment of Mathematics and Informatics, University of Natural Sciences -VNU-HCMA quadrilateral element with smoothed curvatures for Reissner-Mindlin structure plates is proposed. A curvature matrix at an arbitrary point is normalized by a non-local approximation over a smoothing function. By choosing a constant smoothed function and applying the divergence theorem, the bending stiffness matrix calculated on boundaries of smoothing elements (smoothing cells) instead of on their interior. Several numerical results are analyzed to demonstrate high reliability and free locking of the proposed method.https://vjs.ac.vn/index.php/vjmech/article/view/5587 |
| spellingShingle | Nguyen Xuan Hung Ngo Thanh Phong Application of the curvature smoothing technique for four-node quadrilateral Reissner-Mindlin plate element Vietnam Journal of Mechanics |
| title | Application of the curvature smoothing technique for four-node quadrilateral Reissner-Mindlin plate element |
| title_full | Application of the curvature smoothing technique for four-node quadrilateral Reissner-Mindlin plate element |
| title_fullStr | Application of the curvature smoothing technique for four-node quadrilateral Reissner-Mindlin plate element |
| title_full_unstemmed | Application of the curvature smoothing technique for four-node quadrilateral Reissner-Mindlin plate element |
| title_short | Application of the curvature smoothing technique for four-node quadrilateral Reissner-Mindlin plate element |
| title_sort | application of the curvature smoothing technique for four node quadrilateral reissner mindlin plate element |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/5587 |
| work_keys_str_mv | AT nguyenxuanhung applicationofthecurvaturesmoothingtechniqueforfournodequadrilateralreissnermindlinplateelement AT ngothanhphong applicationofthecurvaturesmoothingtechniqueforfournodequadrilateralreissnermindlinplateelement |