Fracture and Structural Integrity e-ISSN 1971-8993 Open access
Analytical, Numerical and Physical Models Vol. 13, No. 50 (2019)

Vibration analysis of functionally graded plates with porosity composed of a mixture of Aluminum (Al) and Alumina (Al2O3) embedded in an elastic medium

Author and affiliation details
  • Hayat Saidi Corresponding author Doctor ORCID iD0000-0002-1858-4994 hayatsaidi2019@yahoo.fr
  • Meriem Sahla Civil Engineering Department, Faculty of Technology, University of Sidi Bel Abbes, Laboratory of Materials and Hydrology (LMH), Algeria.
DOI
10.3221/IGF-ESIS.50.24
Pages
286-299
Published
Published inVol. 13, No. 50 (2019)Go to the issue

Abstract

In this scientific work, a new shear deformation theory for free vibration analysis of simply supported rectangular functionally graded plate embedded in an elastic medium is presented.

Due to technical problems during the fabrication, porosities can be created in side FGM plate which may lead to reduction in strength of materials. In this investigation the FGM plate are assumed to have a new distribution of porosities according to the thickness of the plate. The elastic medium is modeled as Winkler-Pasternak two parameter models to express the interaction between the FGM plate and elastic foundation. The four unknown shear deformation theory is employed to deduce the equations of motion. The Hamilton’s principle is used to derive the governing equations of motion. The accuracy of this theory is verified by compared the developed results with those obtained using others plate theory. Some examples are performed to demonstrate the effect of changing gradient material, elastic parameters, porosity index, and length to thickness ratios on the fundamental frequency of functionally graded plate.

Keywords

Article history

  1. ReceivedUntil the next stage: 15 days
  2. Revision requestedUntil the next stage: 9 days
  3. RevisedUntil the next stage: 3 days
  4. AcceptedUntil the next stage: 5 days
  5. Published

How to cite

APA

Saidi, H., & Sahla, M. (2019). Vibration analysis of functionally graded plates with porosity composed of a mixture of Aluminum (Al) and Alumina (Al2O3) embedded in an elastic medium. Fracture and Structural Integrity, 13(50), 286–299. https://doi.org/10.3221/IGF-ESIS.50.24

IEEE

H. Saidi and M. Sahla, “Vibration analysis of functionally graded plates with porosity composed of a mixture of Aluminum (Al) and Alumina (Al2O3) embedded in an elastic medium,” Fracture and Structural Integrity, vol. 13, no. 50, pp. 286–299, 2019, doi: 10.3221/IGF-ESIS.50.24.

MLA

Saidi, Hayat, and Meriem Sahla. “Vibration analysis of functionally graded plates with porosity composed of a mixture of Aluminum (Al) and Alumina (Al2O3) embedded in an elastic medium.” Fracture and Structural Integrity, vol. 13, no. 50, 2019, pp. 286–299. https://doi.org/10.3221/IGF-ESIS.50.24.

Chicago

Saidi, Hayat, and Meriem Sahla. 2019. “Vibration analysis of functionally graded plates with porosity composed of a mixture of Aluminum (Al) and Alumina (Al2O3) embedded in an elastic medium.” Fracture and Structural Integrity 13 (50): 286–299. https://doi.org/10.3221/IGF-ESIS.50.24.

Harvard

Saidi, H. and Sahla, M. (2019) ‘Vibration analysis of functionally graded plates with porosity composed of a mixture of Aluminum (Al) and Alumina (Al2O3) embedded in an elastic medium’, Fracture and Structural Integrity, 13(50), pp. 286–299. doi: 10.3221/IGF-ESIS.50.24.

Vancouver

Saidi H, Sahla M. Vibration analysis of functionally graded plates with porosity composed of a mixture of Aluminum (Al) and Alumina (Al2O3) embedded in an elastic medium. Fracture and Structural Integrity. 2019;13(50):286-299. doi:10.3221/IGF-ESIS.50.24

BibTeX

@article{saidi2019, author = {Saidi, Hayat and Sahla, Meriem}, title = {Vibration analysis of functionally graded plates with porosity composed of a mixture of Aluminum (Al) and Alumina (Al2O3) embedded in an elastic medium}, journal = {Fracture and Structural Integrity}, year = {2019}, volume = {13}, number = {50}, pages = {286--299}, doi = {10.3221/IGF-ESIS.50.24}, url = {https://doi.org/10.3221/IGF-ESIS.50.24}, issn = {1971-8993} }

RIS

TY - JOUR AU - Saidi, Hayat AU - Sahla, Meriem TI - Vibration analysis of functionally graded plates with porosity composed of a mixture of Aluminum (Al) and Alumina (Al2O3) embedded in an elastic medium JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2019 DA - 2019/08/24 VL - 13 IS - 50 SP - 286 EP - 299 DO - 10.3221/IGF-ESIS.50.24 UR - https://doi.org/10.3221/IGF-ESIS.50.24 SN - 1971-8993 ER -

Licence

Copyright © 2019 Hayat Saidi, Meriem Sahla.

Copyright 
Authors are allowed to retain both the copyright and the publishing rights of their articles without restrictions.  

Open Access Statement

Fracture and Structural Integrity (F&SI) is an open-access journal which means that all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles in this journal without asking prior permission from the publisher or the author. This is in accordance with the DOAI definition of open access.

F&SI operates under the Creative Commons Licence Attribution 4.0 International (CC-BY 4.0). This allows to copy and redistribute the material in any medium or format, to remix, transform and build upon the material for any purpose, even commercially, but giving appropriate credit, providing a link to the license, and indicating if changes were made.