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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 7 scientific papers (total in 7 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 (7)
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}
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  • https://www.mathnet.ru/eng/pmtf/v57/i4/p136
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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