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We'd like to understand how you use our websites in order to improve them. Register your interest. The static response of simply supported functionally graded plates FGP subjected to a transverse uniform load UL or a sinusoidally distributed load SL and resting on an elastic foundation is examined by using a new hyperbolic displacement model. The present theory exactly satisfies the stress boundary conditions on the top and bottom surfaces of the plate. No transverse shear correction factors are needed, because a correct representation of the transverse shear strain is given.
The material properties of the plate are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of volume fractions of material constituents. The foundation is modeled as a two-parameter Pasternak-type foundation, or as a Winkler-type one if the second parameter is zero. The equilibrium equations of a functionally graded plate are given based on the hyperbolic shear deformation theory of plates presented. The effects of stiffness and gradient index of the foundation on the mechanical responses of the plates are discussed.
It is established that the elastic foundations significantly affect the mechanical behavior of thick functionally graded plates. The numerical results presented in the paper can serve as benchmarks for future analyses of thick functionally graded plates on elastic foundations.
This is a preview of subscription content, log in to check access. Rent this article via DeepDyve. Google Scholar. Reddy J. Cheng and R. Sound Vibrat. Loy, K. Lam, and J. Zhemochkin and A. Zapiski Mosk. Michigan Press, Ann Arbor, Michigan Omurtag, A. Ozutok, and A. Filipich and M.
Zhou, Y. Cheung, S. Lo, and F. Huang, C. Lu, and W. Cheng and S. Cheng and B. Reddy and Z. Delale and F. Kobayashi and K.
Lam, C. Wang, and X. Download references. Correspondence to A. Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. Reprints and Permissions. Benyoucef, S. Bending of thick functionally graded plates resting on Winkler—Pasternak elastic foundations.
Mech Compos Mater 46, — Download citation. Received : 01 December Revised : 11 April Published : 08 October Issue Date : November Search SpringerLink Search. Immediate online access to all issues from Subscription will auto renew annually.
References 1. Ait Atmane Authors S. Benyoucef View author publications. You can also search for this author in PubMed Google Scholar.
View author publications. Rights and permissions Reprints and Permissions. About this article Cite this article Benyoucef, S.
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