Higher-Order Free Vibration Analysis of Porous Functionally Graded Plates
The present work analyzes the free vibration response of functionally graded (FG) plates made of Aluminum (Al) and Alumina (Al<sub>2</sub>O<sub>3</sub>) with different porosity distributions, as usually induced by a manufacturing process. The problem is tackled theoretically...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-11-01
|
| Series: | Journal of Composites Science |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-477X/5/11/305 |
| _version_ | 1797509893352062976 |
|---|---|
| author | Slimane Merdaci Hadj Mostefa Adda Belghoul Hakima Rossana Dimitri Francesco Tornabene |
| author_facet | Slimane Merdaci Hadj Mostefa Adda Belghoul Hakima Rossana Dimitri Francesco Tornabene |
| author_sort | Slimane Merdaci |
| collection | DOAJ |
| description | The present work analyzes the free vibration response of functionally graded (FG) plates made of Aluminum (Al) and Alumina (Al<sub>2</sub>O<sub>3</sub>) with different porosity distributions, as usually induced by a manufacturing process. The problem is tackled theoretically based on a higher-order shear deformation plate theory, while proposing a Navier-type approximation to solve the governing equations for simply-supported plates with different porosity distributions in the thickness direction. The reliability of the proposed theory is checked successfully by comparing the present results with predictions available from literature based on further first-order or higher-order theories. A large parametric study is performed systematically to evaluate the effect of different mechanical properties, such as the material indexes, porosity volume fractions, porosity distributions, and length-to-thickness ratios, on the free vibration response of FG plates, as useful for the design purposes of most engineered materials and composite applications. |
| first_indexed | 2024-03-10T05:24:11Z |
| format | Article |
| id | doaj.art-edee2789b3534492bdce10d3b32ed79c |
| institution | Directory Open Access Journal |
| issn | 2504-477X |
| language | English |
| last_indexed | 2024-03-10T05:24:11Z |
| publishDate | 2021-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Journal of Composites Science |
| spelling | doaj.art-edee2789b3534492bdce10d3b32ed79c2023-11-22T23:52:07ZengMDPI AGJournal of Composites Science2504-477X2021-11-0151130510.3390/jcs5110305Higher-Order Free Vibration Analysis of Porous Functionally Graded PlatesSlimane Merdaci0Hadj Mostefa Adda1Belghoul Hakima2Rossana Dimitri3Francesco Tornabene4Laboratory of Structures and Advanced Materials in Civil Engineering and Public Works, Faculty of Technology, Department of Civil Engineering and Public Works, University of Djillali Liabès of Sidi Bel Abbes, Sidi Bel Abbes 22000, AlgeriaLaboratory of Industrial Engineering and Sustainable Development, Department Civil Engineering, Institute of Science & Technology, University of Rélizane, Relizane 48000, AlgeriaLaboratory of Mechanics Physics of Materials (LMPM), University of Djillali Liabès of Sidi Bel Abbes, Sidi Bel Abbes 22000, AlgeriaDepartment of Innovation Engineering, Università del Salento, 73100 Lecce, ItalyDepartment of Innovation Engineering, Università del Salento, 73100 Lecce, ItalyThe present work analyzes the free vibration response of functionally graded (FG) plates made of Aluminum (Al) and Alumina (Al<sub>2</sub>O<sub>3</sub>) with different porosity distributions, as usually induced by a manufacturing process. The problem is tackled theoretically based on a higher-order shear deformation plate theory, while proposing a Navier-type approximation to solve the governing equations for simply-supported plates with different porosity distributions in the thickness direction. The reliability of the proposed theory is checked successfully by comparing the present results with predictions available from literature based on further first-order or higher-order theories. A large parametric study is performed systematically to evaluate the effect of different mechanical properties, such as the material indexes, porosity volume fractions, porosity distributions, and length-to-thickness ratios, on the free vibration response of FG plates, as useful for the design purposes of most engineered materials and composite applications.https://www.mdpi.com/2504-477X/5/11/305functionally graded platesfree vibrationhigher-order plate theoryporosity effect |
| spellingShingle | Slimane Merdaci Hadj Mostefa Adda Belghoul Hakima Rossana Dimitri Francesco Tornabene Higher-Order Free Vibration Analysis of Porous Functionally Graded Plates Journal of Composites Science functionally graded plates free vibration higher-order plate theory porosity effect |
| title | Higher-Order Free Vibration Analysis of Porous Functionally Graded Plates |
| title_full | Higher-Order Free Vibration Analysis of Porous Functionally Graded Plates |
| title_fullStr | Higher-Order Free Vibration Analysis of Porous Functionally Graded Plates |
| title_full_unstemmed | Higher-Order Free Vibration Analysis of Porous Functionally Graded Plates |
| title_short | Higher-Order Free Vibration Analysis of Porous Functionally Graded Plates |
| title_sort | higher order free vibration analysis of porous functionally graded plates |
| topic | functionally graded plates free vibration higher-order plate theory porosity effect |
| url | https://www.mdpi.com/2504-477X/5/11/305 |
| work_keys_str_mv | AT slimanemerdaci higherorderfreevibrationanalysisofporousfunctionallygradedplates AT hadjmostefaadda higherorderfreevibrationanalysisofporousfunctionallygradedplates AT belghoulhakima higherorderfreevibrationanalysisofporousfunctionallygradedplates AT rossanadimitri higherorderfreevibrationanalysisofporousfunctionallygradedplates AT francescotornabene higherorderfreevibrationanalysisofporousfunctionallygradedplates |