A new strain based brick element for plate bending
This paper presents the development of a new three-dimensional brick finite element by the use of the strain based approach for the linear analysis of plate bending. The developed element has the three essential external degrees of freedom (U, V and W) at each of the eight corner nodes as well as at...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2014-03-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016813001002 |
| _version_ | 1818657923596812288 |
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| author | L. Belounar K. Guerraiche |
| author_facet | L. Belounar K. Guerraiche |
| author_sort | L. Belounar |
| collection | DOAJ |
| description | This paper presents the development of a new three-dimensional brick finite element by the use of the strain based approach for the linear analysis of plate bending. The developed element has the three essential external degrees of freedom (U, V and W) at each of the eight corner nodes as well as at the centroidal node. The displacement field of the developed element is based on assumed functions for the various strains satisfying the compatibility equations and the static condensation technique is used for the internal node. The performance of this element is evaluated on several problems related to thick and thin plate bending in linear analysis. The obtained results show the good performances and accuracy of the present element. |
| first_indexed | 2024-12-17T03:49:12Z |
| format | Article |
| id | doaj.art-049906ebf9574797b5eaf4138b627029 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-12-17T03:49:12Z |
| publishDate | 2014-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-049906ebf9574797b5eaf4138b6270292022-12-21T22:04:48ZengElsevierAlexandria Engineering Journal1110-01682014-03-015319510510.1016/j.aej.2013.10.004A new strain based brick element for plate bendingL. Belounar0K. Guerraiche1Civil Engineering Department, University of Biskra, BP 145, Biskra 07000, AlgeriaMechanical Engineering Department, University of Biskra, BP 145, Biskra 07000, AlgeriaThis paper presents the development of a new three-dimensional brick finite element by the use of the strain based approach for the linear analysis of plate bending. The developed element has the three essential external degrees of freedom (U, V and W) at each of the eight corner nodes as well as at the centroidal node. The displacement field of the developed element is based on assumed functions for the various strains satisfying the compatibility equations and the static condensation technique is used for the internal node. The performance of this element is evaluated on several problems related to thick and thin plate bending in linear analysis. The obtained results show the good performances and accuracy of the present element.http://www.sciencedirect.com/science/article/pii/S1110016813001002Brick elementStrain approachPlate bendingTransverse shearStatic condensation |
| spellingShingle | L. Belounar K. Guerraiche A new strain based brick element for plate bending Alexandria Engineering Journal Brick element Strain approach Plate bending Transverse shear Static condensation |
| title | A new strain based brick element for plate bending |
| title_full | A new strain based brick element for plate bending |
| title_fullStr | A new strain based brick element for plate bending |
| title_full_unstemmed | A new strain based brick element for plate bending |
| title_short | A new strain based brick element for plate bending |
| title_sort | new strain based brick element for plate bending |
| topic | Brick element Strain approach Plate bending Transverse shear Static condensation |
| url | http://www.sciencedirect.com/science/article/pii/S1110016813001002 |
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