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Erschienen in: Acta Mechanica Sinica 1/2019

13.08.2018 | Research Paper

Buckling analysis of functionally graded plates partially resting on elastic foundation using the differential quadrature element method

verfasst von: Arash Shahbaztabar, Koosha Arteshyar

Erschienen in: Acta Mechanica Sinica | Ausgabe 1/2019

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Abstract

We extend the differential quadrature element method (DQEM) to the buckling analysis of uniformly in-plane loaded functionally graded (FG) plates fully or partially resting on the Pasternak model of elastic support. Material properties of the FG plate are graded in the thickness direction and assumed to obey a power law distribution of the volume fraction of the constituents. To set up the global eigenvalue equation, the plate is divided into sub-domains or elements and the generalized differential quadrature procedure is applied to discretize the governing, boundary and compatibility equations. By assembling discrete equations at all nodal points, the weighting coefficient and force matrices are derived. To validate the accuracy of this method, the results are compared with those of the exact solution and the finite element method. At the end, the effects of different variables and local elastic support arrangements on the buckling load factor are investigated.

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Metadaten
Titel
Buckling analysis of functionally graded plates partially resting on elastic foundation using the differential quadrature element method
verfasst von
Arash Shahbaztabar
Koosha Arteshyar
Publikationsdatum
13.08.2018
Verlag
The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences
Erschienen in
Acta Mechanica Sinica / Ausgabe 1/2019
Print ISSN: 0567-7718
Elektronische ISSN: 1614-3116
DOI
https://doi.org/10.1007/s10409-018-0796-6

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