Quasi 3-D trigonometric plate theory for bending analysis of EG plates resting on Pasternak foundations
This paper deals with the bending analysis of exponentially graded material (EGM) plates resting on two-parameter elastic foundations according to a trigonometric shear deformation plate theory (TPT) using Navier’s technique. The normal and shear deformations are both includes. The present TPT does...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2018-07-01
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| Series: | Curved and Layered Structures |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/cls-2018-0011 |
| _version_ | 1818579829806596096 |
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| author | Radwan Ahmed F. Zenkour Ashraf M. |
| author_facet | Radwan Ahmed F. Zenkour Ashraf M. |
| author_sort | Radwan Ahmed F. |
| collection | DOAJ |
| description | This paper deals with the bending analysis of exponentially graded material (EGM) plates resting on two-parameter elastic foundations according to a trigonometric shear deformation plate theory (TPT) using Navier’s technique. The normal and shear deformations are both includes. The present TPT does not need a shear correction factors. The material properties of plate like, Lamé’s coefficients convert exponentially in a given constant orientation. The equilibrium equations according to the EG plate resting on Pasternak foundations are presented. Numerical results for the EG thick plate on elastic foundations are presented. A good comparison of results with those being in the literature. The influences played by Winkler and Pasternak parameters, side-to-thickness ratio, inhomogeneity parameter and aspect ratio on the bending responses of EG plates are debated. |
| first_indexed | 2024-12-16T07:07:56Z |
| format | Article |
| id | doaj.art-be451c2cc47647859394d75366f35fd1 |
| institution | Directory Open Access Journal |
| issn | 2353-7396 |
| language | English |
| last_indexed | 2024-12-16T07:07:56Z |
| publishDate | 2018-07-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Curved and Layered Structures |
| spelling | doaj.art-be451c2cc47647859394d75366f35fd12022-12-21T22:39:58ZengDe GruyterCurved and Layered Structures2353-73962018-07-015114615510.1515/cls-2018-0011cls-2018-0011Quasi 3-D trigonometric plate theory for bending analysis of EG plates resting on Pasternak foundationsRadwan Ahmed F.0Zenkour Ashraf M.1Department of Mathematics and Statistics, High Institute of Management and Information Technology, Nile for Science and Technology,Kafrelsheikh33514, EgyptDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203,Jeddah21589, Saudi ArabiaThis paper deals with the bending analysis of exponentially graded material (EGM) plates resting on two-parameter elastic foundations according to a trigonometric shear deformation plate theory (TPT) using Navier’s technique. The normal and shear deformations are both includes. The present TPT does not need a shear correction factors. The material properties of plate like, Lamé’s coefficients convert exponentially in a given constant orientation. The equilibrium equations according to the EG plate resting on Pasternak foundations are presented. Numerical results for the EG thick plate on elastic foundations are presented. A good comparison of results with those being in the literature. The influences played by Winkler and Pasternak parameters, side-to-thickness ratio, inhomogeneity parameter and aspect ratio on the bending responses of EG plates are debated.https://doi.org/10.1515/cls-2018-0011trigonometric plate theoryexponentially gradedelastic foundations |
| spellingShingle | Radwan Ahmed F. Zenkour Ashraf M. Quasi 3-D trigonometric plate theory for bending analysis of EG plates resting on Pasternak foundations Curved and Layered Structures trigonometric plate theory exponentially graded elastic foundations |
| title | Quasi 3-D trigonometric plate theory for bending analysis of EG plates resting on Pasternak foundations |
| title_full | Quasi 3-D trigonometric plate theory for bending analysis of EG plates resting on Pasternak foundations |
| title_fullStr | Quasi 3-D trigonometric plate theory for bending analysis of EG plates resting on Pasternak foundations |
| title_full_unstemmed | Quasi 3-D trigonometric plate theory for bending analysis of EG plates resting on Pasternak foundations |
| title_short | Quasi 3-D trigonometric plate theory for bending analysis of EG plates resting on Pasternak foundations |
| title_sort | quasi 3 d trigonometric plate theory for bending analysis of eg plates resting on pasternak foundations |
| topic | trigonometric plate theory exponentially graded elastic foundations |
| url | https://doi.org/10.1515/cls-2018-0011 |
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