Approximation of functionally graded plates with non-conforming finite elements

In this paper rectangular plates made of functionally graded materials (FGMs) are studied. A two-constituent material distribution through the thickness is considered, varying with a simple power rule of mixture. The equations governing the FGM plates are determined using a variational formulation a...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2007-12, Vol.210 (1), p.106-115
Main Authors: Chinosi, Claudia, Della Croce, Lucia
Format: Article
Language:English
Subjects:
Exact sciences and technology
Functionally graded plates
Mathematical analysis
Mathematics
Non-conforming finite element methods
Numerical analysis
Numerical analysis. Scientific computation
Reissner–Mindlin plates
Sciences and techniques of general use
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Summary:In this paper rectangular plates made of functionally graded materials (FGMs) are studied. A two-constituent material distribution through the thickness is considered, varying with a simple power rule of mixture. The equations governing the FGM plates are determined using a variational formulation arising from the Reissner–Mindlin theory. To approximate the problem a simple locking-free Discontinuous Galerkin finite element of non-conforming type is used, choosing a piecewise linear non-conforming approximation for both rotations and transversal displacement. Several numerical simulations are carried out in order to show the capability of the proposed element to capture the properties of plates of various gradings, subjected to thermo-mechanical loads.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2006.10.078