Nonlinear Finite Element Model for Bending Analysis of Functionally-Graded Porous Circular/Annular Micro-Plates under Thermomechanical Loads Using Quasi-3D Reddy Third-Order Plate Theory
A nonlinear finite element model for axisymmetric bending of micro circular/annular plates under thermal and mechanical loading was developed using quasi-3D Reddy third-order shear deformation theory. The developed finite element model accounts for a variation of material constituents utilizing a po...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Materials |
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| Online Access: | https://www.mdpi.com/1996-1944/16/9/3505 |
| _version_ | 1797602271627837440 |
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| author | Jinseok Kim Enrique Nava Semsi Rakici |
| author_facet | Jinseok Kim Enrique Nava Semsi Rakici |
| author_sort | Jinseok Kim |
| collection | DOAJ |
| description | A nonlinear finite element model for axisymmetric bending of micro circular/annular plates under thermal and mechanical loading was developed using quasi-3D Reddy third-order shear deformation theory. The developed finite element model accounts for a variation of material constituents utilizing a power-law distribution of a two-constituent material, three different porosity distributions through plate thickness, and geometrical nonlinearity. The modified couple stress theory was utilized to account for the strain gradient effects using a single material length scale parameter. Three different types of porosity distributions that have the same overall volume fraction but different enhanced areas were considered as a form of cosine functions. The effects of the material and porosity distribution, microstructure-dependency, the geometric nonlinearity, and various boundary conditions on the bending response of functionally-graded porous axisymmetric microplates under thermomechanical loads were studied using the developed nonlinear finite element model. |
| first_indexed | 2024-03-11T04:14:41Z |
| format | Article |
| id | doaj.art-f38decec8af5426382290a1fc858234b |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-11T04:14:41Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-f38decec8af5426382290a1fc858234b2023-11-17T23:17:00ZengMDPI AGMaterials1996-19442023-05-01169350510.3390/ma16093505Nonlinear Finite Element Model for Bending Analysis of Functionally-Graded Porous Circular/Annular Micro-Plates under Thermomechanical Loads Using Quasi-3D Reddy Third-Order Plate TheoryJinseok Kim0Enrique Nava1Semsi Rakici2Department of Mechanical and Aerospace Engineering, Western Michigan University, Kalamazoo, MI 49008, USADepartment of Mechanical and Aerospace Engineering, Western Michigan University, Kalamazoo, MI 49008, USASchool of Building Construction, Georgia Institute of Technology, Atlanta, GA 30332, USAA nonlinear finite element model for axisymmetric bending of micro circular/annular plates under thermal and mechanical loading was developed using quasi-3D Reddy third-order shear deformation theory. The developed finite element model accounts for a variation of material constituents utilizing a power-law distribution of a two-constituent material, three different porosity distributions through plate thickness, and geometrical nonlinearity. The modified couple stress theory was utilized to account for the strain gradient effects using a single material length scale parameter. Three different types of porosity distributions that have the same overall volume fraction but different enhanced areas were considered as a form of cosine functions. The effects of the material and porosity distribution, microstructure-dependency, the geometric nonlinearity, and various boundary conditions on the bending response of functionally-graded porous axisymmetric microplates under thermomechanical loads were studied using the developed nonlinear finite element model.https://www.mdpi.com/1996-1944/16/9/3505nonlinear finite element analysisaxisymmetric platesquasi-3D Reddy third-order theoryfunctionally-graded porous materialsmodified couple stress theory |
| spellingShingle | Jinseok Kim Enrique Nava Semsi Rakici Nonlinear Finite Element Model for Bending Analysis of Functionally-Graded Porous Circular/Annular Micro-Plates under Thermomechanical Loads Using Quasi-3D Reddy Third-Order Plate Theory Materials nonlinear finite element analysis axisymmetric plates quasi-3D Reddy third-order theory functionally-graded porous materials modified couple stress theory |
| title | Nonlinear Finite Element Model for Bending Analysis of Functionally-Graded Porous Circular/Annular Micro-Plates under Thermomechanical Loads Using Quasi-3D Reddy Third-Order Plate Theory |
| title_full | Nonlinear Finite Element Model for Bending Analysis of Functionally-Graded Porous Circular/Annular Micro-Plates under Thermomechanical Loads Using Quasi-3D Reddy Third-Order Plate Theory |
| title_fullStr | Nonlinear Finite Element Model for Bending Analysis of Functionally-Graded Porous Circular/Annular Micro-Plates under Thermomechanical Loads Using Quasi-3D Reddy Third-Order Plate Theory |
| title_full_unstemmed | Nonlinear Finite Element Model for Bending Analysis of Functionally-Graded Porous Circular/Annular Micro-Plates under Thermomechanical Loads Using Quasi-3D Reddy Third-Order Plate Theory |
| title_short | Nonlinear Finite Element Model for Bending Analysis of Functionally-Graded Porous Circular/Annular Micro-Plates under Thermomechanical Loads Using Quasi-3D Reddy Third-Order Plate Theory |
| title_sort | nonlinear finite element model for bending analysis of functionally graded porous circular annular micro plates under thermomechanical loads using quasi 3d reddy third order plate theory |
| topic | nonlinear finite element analysis axisymmetric plates quasi-3D Reddy third-order theory functionally-graded porous materials modified couple stress theory |
| url | https://www.mdpi.com/1996-1944/16/9/3505 |
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