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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2016, Volume 57, Issue 4, Pages 136–148
DOI: https://doi.org/10.15372/PMTF20160413 (Mi pmtf821) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Three-dimensional stress and free vibration analyzes of functionally graded plates with a circular hole by the use of the graded finite element method

K. Asemia, H. Ashrafib, M. Shariyatc

a Islamic Azad University, Tehran, North Branch, Tehran, Iran
b University of Kashan
c K. N. Toosi University of Technology, Tehran
Full-text PDF (388 kB) Citations (8)
DOI: https://doi.org/10.15372/PMTF20160413
Abstract: Static and free vibration analyses of plates with circular holes are performed based on the three-dimensional theory of elasticity. The plates are made of a functionally graded material (FGM), and the volume fraction of the material varies continuously over the plate thickness. The effective properties of the FGM plate are estimated by using the Mori–Tanaka homogenization method. A graded finite element method based on the Rayleigh–Ritz energy formulation is used to solve the problem. The effects of different volume fractions of the material and hole sizes on the behavior of FGM plates under uniaxial tension are investigated. Natural frequencies of a fully clamped FGM plate with a circular cutout are derived. The results obtained are compared with available experimental data.
Keywords: three-dimensional elasticity theory, graded finite element method, functionally graded material, Rayleigh–Ritz energy formulation, free vibrations.
Received: 26.02.2014
Revised: 31.08.2014
English version:
Journal of Applied Mechanics and Technical Physics, 2016, Volume 57, Issue 4, Pages 690–700
DOI: https://doi.org/10.1134/S0021894416040131
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: K. Asemi, H. Ashrafi, M. Shariyat, “Three-dimensional stress and free vibration analyzes of functionally graded plates with a circular hole by the use of the graded finite element method”, Prikl. Mekh. Tekh. Fiz., 57:4 (2016), 136–148; J. Appl. Mech. Tech. Phys., 57:4 (2016), 690–700
Citation in format AMSBIB
\Bibitem{AseAshSha16}
\by K.~Asemi, H.~Ashrafi, M.~Shariyat
\paper Three-dimensional stress and free vibration analyzes of functionally graded plates with a circular hole by the use of the graded finite element method
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2016
\vol 57
\issue 4
\pages 136--148
\mathnet{http://mi.mathnet.ru/pmtf821}
\crossref{https://doi.org/10.15372/PMTF20160413}
\elib{https://elibrary.ru/item.asp?id=26493347}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2016
\vol 57
\issue 4
\pages 690--700
\crossref{https://doi.org/10.1134/S0021894416040131}
Linking options:
  • https://www.mathnet.ru/eng/pmtf821
  • https://www.mathnet.ru/eng/pmtf/v57/i4/p136
    • This publication is cited in the following 8 articles:
    1. V. V. Dudarev, R. M. Mnukhin, “On the Reconstruction of a Two-Dimensional Density of a Functionally Graded Elastic Plate”, Mech. Solids, 59:3 (2024), 1201  crossref
    2. Jing Wu, Wen Sun, Shenqi Yang, Qiong Wu, Jiangjiang Zhang, Xiaolong Chen, “Analysis of Initial Crack Propagation and Fracture Behavior at Concrete–Rock Bimaterial Interface”, Arab J Sci Eng, 2024  crossref
    3. V. V. Dudarev, R. M. Mnukhin, “On the reconstruction of a two-dimensional density of a functionally graded elastic plate”, Izvestiâ Rossijskoj akademii nauk. Mehanika tverdogo tela, 2024, no. 3  crossref
    4. Qiuhong Li, Wenhao Huang, Joey Sanchez, Ping Wang, Qiang Ding, Jiufa Wang, “Free Vibration Analysis of Rectangular Plate with Cutouts under Elastic Boundary Conditions in Independent Coordinate Coupling Method”, Computer Modeling in Engineering & Sciences, 134:3 (2023), 2093  crossref
    5. Amin Kalhori, Mohammad Javad Bayat, Kamran Asemi, “Buckling response of functionally graded multilayer graphene platelet-reinforced composite plates with circular/elliptical cutouts supporting on an elastic foundation under normal and shear loads”, Front. Mech. Eng., 9 (2023)  crossref
    6. Amin Kalhori, Mohammad Javad Bayat, Kamran Asemi, “Buckling analysis of stiffened functionally graded multilayer graphene platelet reinforced composite plate with circular cutout embedded on elastic support subjected to in-plane normal and shear loads”, Results in Engineering, 20 (2023), 101563  crossref
    7. Kang Ju, Chunzheng Duan, Yuwen Sun, Jiahao Shi, Jinxing Kong, Abdolhamid Akbarzadeh, “Prediction of machining deformation induced by turning residual stress in thin circular parts using ritz method”, Journal of Materials Processing Technology, 307 (2022), 117664  crossref
    8. Wenhao Huang, Kai Xue, Qiuhong Li, “Three-Dimensional Solution for the Vibration Analysis of Functionally Graded Rectangular Plate with/without Cutouts Subject to General Boundary Conditions”, Materials, 14:22 (2021), 7088  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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