Nonlocal Strain Gradient Theory for the Bending of Functionally Graded Porous Nanoplates
Many investigators have become interested in nanostructures due to their outstanding mechanical, chemical, and electrical properties. Two-dimensional nanoplates with higher mechanical properties compared with traditional structural applications are a common structure of nanosystems. Nanoplates have...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-12-01
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| Series: | Materials |
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| Online Access: | https://www.mdpi.com/1996-1944/15/23/8601 |
| _version_ | 1797462833452023808 |
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| author | Rabab A. Alghanmi |
| author_facet | Rabab A. Alghanmi |
| author_sort | Rabab A. Alghanmi |
| collection | DOAJ |
| description | Many investigators have become interested in nanostructures due to their outstanding mechanical, chemical, and electrical properties. Two-dimensional nanoplates with higher mechanical properties compared with traditional structural applications are a common structure of nanosystems. Nanoplates have a wide range of uses in various sectors due to their unique properties. This paper focused on the static analysis of functionally graded (FG) nanoplates with porosities. The nonlocal strain gradient theory is combined with four-variable shear deformation theory to model the nanoplate. The proposed model captures both nonlocal and strain gradient impacts on FG nanoplate structures by incorporating the nonlocal and strain gradient factors into the FG plate’s elastic constants. Two different templates of porosity distributions are taken into account. The FG porous nanoplate solutions are compared with previously published ones. The impact of nonlocal and strain gradient parameters, side-to-thickness ratio, aspect ratio, and porosity parameter, are analyzed in detail numerically. This paper presents benchmark solutions for the bending analysis of FG porous nanoplates. Moreover, the current combination of the nonlocal strain gradient theory and the four-variable shear deformation theory can be adapted for various nanostructured materials such as anisotropic, laminated composites, FG carbon nanotube reinforced composites, and so on. |
| first_indexed | 2024-03-09T17:42:05Z |
| format | Article |
| id | doaj.art-e182df7fee98497ebca41f8ce5cd268e |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-09T17:42:05Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-e182df7fee98497ebca41f8ce5cd268e2023-11-24T11:31:04ZengMDPI AGMaterials1996-19442022-12-011523860110.3390/ma15238601Nonlocal Strain Gradient Theory for the Bending of Functionally Graded Porous NanoplatesRabab A. Alghanmi0Department of Mathematics, College of Sciences and Arts, King Abdulaziz University, Rabigh 21911, Saudi ArabiaMany investigators have become interested in nanostructures due to their outstanding mechanical, chemical, and electrical properties. Two-dimensional nanoplates with higher mechanical properties compared with traditional structural applications are a common structure of nanosystems. Nanoplates have a wide range of uses in various sectors due to their unique properties. This paper focused on the static analysis of functionally graded (FG) nanoplates with porosities. The nonlocal strain gradient theory is combined with four-variable shear deformation theory to model the nanoplate. The proposed model captures both nonlocal and strain gradient impacts on FG nanoplate structures by incorporating the nonlocal and strain gradient factors into the FG plate’s elastic constants. Two different templates of porosity distributions are taken into account. The FG porous nanoplate solutions are compared with previously published ones. The impact of nonlocal and strain gradient parameters, side-to-thickness ratio, aspect ratio, and porosity parameter, are analyzed in detail numerically. This paper presents benchmark solutions for the bending analysis of FG porous nanoplates. Moreover, the current combination of the nonlocal strain gradient theory and the four-variable shear deformation theory can be adapted for various nanostructured materials such as anisotropic, laminated composites, FG carbon nanotube reinforced composites, and so on.https://www.mdpi.com/1996-1944/15/23/8601porositynonlocal strain gradient theorybendingfunctionally graded materialNavier methodindustrial development |
| spellingShingle | Rabab A. Alghanmi Nonlocal Strain Gradient Theory for the Bending of Functionally Graded Porous Nanoplates Materials porosity nonlocal strain gradient theory bending functionally graded material Navier method industrial development |
| title | Nonlocal Strain Gradient Theory for the Bending of Functionally Graded Porous Nanoplates |
| title_full | Nonlocal Strain Gradient Theory for the Bending of Functionally Graded Porous Nanoplates |
| title_fullStr | Nonlocal Strain Gradient Theory for the Bending of Functionally Graded Porous Nanoplates |
| title_full_unstemmed | Nonlocal Strain Gradient Theory for the Bending of Functionally Graded Porous Nanoplates |
| title_short | Nonlocal Strain Gradient Theory for the Bending of Functionally Graded Porous Nanoplates |
| title_sort | nonlocal strain gradient theory for the bending of functionally graded porous nanoplates |
| topic | porosity nonlocal strain gradient theory bending functionally graded material Navier method industrial development |
| url | https://www.mdpi.com/1996-1944/15/23/8601 |
| work_keys_str_mv | AT rababaalghanmi nonlocalstraingradienttheoryforthebendingoffunctionallygradedporousnanoplates |