ARCHIVE OF MECHANICAL ENGINEERING Volume 68 2021 Number 1 DOI: 10.24425/ame.2020.131706 Key words: static analysis, functionally graded plates, Winkler-Pasternak foundation, physical neutral surface, four-variable refined theory Van-Loi Nguyen 1 , Minh-Tu Tran 1 , Van-Long Nguyen 1 , Quang-Huy Le 2 Static behaviour of functionally graded plates resting on elastic foundations using neutral surface concept In this study, static behaviors of functionally graded plates resting on Winkler- Pasternak elastic foundation using the four-variable refined theory and the physical neutral surface concept is reported. The four-variable refined theory assumes that the transverse shear strain has a parabolic distribution across the plate’s thickness, thus, there is no need to use the shear correction factor. The material properties of the plate vary continuously and smoothly according to the thickness direction by a power-law distribution. The geometrical middle surface of the functionally graded plate selected in computations is very popular in the existing literature. By contrast, in this study, the physical neutral surface of the plate is used. Based on the four-variable refined plate theory and the principle of virtual work, the governing equations of the plate are derived. Next, an analytical solution for the functionally graded plate resting on the Winkler-Pasternak elastic foundation is solved using the Navier’s procedure. In numerical investigations, a comparison of the static behaviors of the functionally graded plate between several models of displacement field using the physical neutral surface is given, and parametric studies are also presented. 1. Introduction In recent years, together with the advancement in material sciences, a new kind of material is proposed called the functionally graded materials (FGMs). This type of material consists of two ceramic and metal constituents, thus, it has many advantages such as high strength, toughness, and good capacity of corrosion and thermal resistance, etc. [1–3]. Besides, material properties of the functionally B Van-Loi Nguyen, e-mails: [email protected], [email protected] 1 Department of Strength of Materials, National University of Civil Engineering, Hanoi, Vietnam; ORCIDs: V-L.N: 0000-0002-8801-3433; M-T.T.: 0000-0002-2208-3463. 2 Department of Highway Engineering, Faculty of Civil Engineering, University of Transport Technology, Hanoi, Vietnam. 0 © 2021. The Author(s). This is an open-access article distributed under the terms of the Creative Commons Attribution- NonCommercial-NoDerivatives License (CC BY-NC-ND 4.0, https://creativecommons.org/licenses/by-nc-nd/4.0/), which permits use, distribution, and reproduction in any medium, provided that the Article is properly cited, the use is non- commercial, and no modifications or adaptations are made.
Static behaviour of functionally graded plates resting on elastic foundations using neutral surface concept
May 29, 2023
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