Bending of functionally graded plates via a refined quasi-3D shear and normal deformation theory
Bending of functionally graded plate with two reverse simply supported edges is studied based upon a refined quasi three-dimensional (quasi-3D) shear and normal deformation theory using a third-order shape function. The present theory accounts for the distribution of transvers shear stresses that sa...
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| Format: | Article |
| Language: | English |
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De Gruyter
2018-08-01
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| Series: | Curved and Layered Structures |
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| Online Access: | http://www.degruyter.com/view/j/cls.2018.5.issue-1/cls-2018-0014/cls-2018-0014.xml?format=INT |
| _version_ | 1818670601467854848 |
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| author | Zenkour Asharf M. Alghanmi Rabab A. |
| author_facet | Zenkour Asharf M. Alghanmi Rabab A. |
| author_sort | Zenkour Asharf M. |
| collection | DOAJ |
| description | Bending of functionally graded plate with two reverse simply supported edges is studied based upon a refined quasi three-dimensional (quasi-3D) shear and normal deformation theory using a third-order shape function. The present theory accounts for the distribution of transvers shear stresses that satisfies the free transverse shear stresses condition on the upper and lower surfaces of the plate. Therefore, the strain distribution does not include the unwanted influences of transverse shear correction factor. The effect of transverse normal strain is included. Unlike the traditional normal and shear deformation theories, the present theory have four unknowns only. The equilibrium equations are derived by using the principle of virtual work. The influence of material properties, aspect and side-to-thickness ratios, mechanical loads and inhomogeneity parameter are discussed. The efficiency and correctness of the present theory results are established by comparisons with available theories results. |
| first_indexed | 2024-12-17T07:10:42Z |
| format | Article |
| id | doaj.art-df54a4813c8d4ae6b1184e17aa32831c |
| institution | Directory Open Access Journal |
| issn | 2353-7396 |
| language | English |
| last_indexed | 2024-12-17T07:10:42Z |
| publishDate | 2018-08-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Curved and Layered Structures |
| spelling | doaj.art-df54a4813c8d4ae6b1184e17aa32831c2022-12-21T21:59:03ZengDe GruyterCurved and Layered Structures2353-73962018-08-015119020010.1515/cls-2018-0014cls-2018-0014Bending of functionally graded plates via a refined quasi-3D shear and normal deformation theoryZenkour Asharf M.0Alghanmi Rabab A.1Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia; Department of Mathematics, Faculty of Science, Kafrelsheikh University,Kafrelsheikh, EgyptDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia; Department of Mathematics, Rabigh College for Sciences and Arts, King Abdulaziz University,Jeddah21911, Saudi ArabiaBending of functionally graded plate with two reverse simply supported edges is studied based upon a refined quasi three-dimensional (quasi-3D) shear and normal deformation theory using a third-order shape function. The present theory accounts for the distribution of transvers shear stresses that satisfies the free transverse shear stresses condition on the upper and lower surfaces of the plate. Therefore, the strain distribution does not include the unwanted influences of transverse shear correction factor. The effect of transverse normal strain is included. Unlike the traditional normal and shear deformation theories, the present theory have four unknowns only. The equilibrium equations are derived by using the principle of virtual work. The influence of material properties, aspect and side-to-thickness ratios, mechanical loads and inhomogeneity parameter are discussed. The efficiency and correctness of the present theory results are established by comparisons with available theories results.http://www.degruyter.com/view/j/cls.2018.5.issue-1/cls-2018-0014/cls-2018-0014.xml?format=INTFG Platebendingrefined quasi-3D shear and normal theoryNavier’s solution |
| spellingShingle | Zenkour Asharf M. Alghanmi Rabab A. Bending of functionally graded plates via a refined quasi-3D shear and normal deformation theory Curved and Layered Structures FG Plate bending refined quasi-3D shear and normal theory Navier’s solution |
| title | Bending of functionally graded plates via a refined quasi-3D shear and normal deformation theory |
| title_full | Bending of functionally graded plates via a refined quasi-3D shear and normal deformation theory |
| title_fullStr | Bending of functionally graded plates via a refined quasi-3D shear and normal deformation theory |
| title_full_unstemmed | Bending of functionally graded plates via a refined quasi-3D shear and normal deformation theory |
| title_short | Bending of functionally graded plates via a refined quasi-3D shear and normal deformation theory |
| title_sort | bending of functionally graded plates via a refined quasi 3d shear and normal deformation theory |
| topic | FG Plate bending refined quasi-3D shear and normal theory Navier’s solution |
| url | http://www.degruyter.com/view/j/cls.2018.5.issue-1/cls-2018-0014/cls-2018-0014.xml?format=INT |
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