CLC number: TU2; TU3
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Received: 2007-02-12
Revision Accepted: 2007-05-08
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CARRERA E., GIUNTA G., BRISCHETTO S.. Hierarchical closed form solutions for plates bent by localized transverse loadings[J]. Journal of Zhejiang University Science A, 2007, 8(7): 1026-1037.
@article{title="Hierarchical closed form solutions for plates bent by localized transverse loadings",
author="CARRERA E., GIUNTA G., BRISCHETTO S.",
journal="Journal of Zhejiang University Science A",
volume="8",
number="7",
pages="1026-1037",
year="2007",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2007.A1026"
}
%0 Journal Article
%T Hierarchical closed form solutions for plates bent by localized transverse loadings
%A CARRERA E.
%A GIUNTA G.
%A BRISCHETTO S.
%J Journal of Zhejiang University SCIENCE A
%V 8
%N 7
%P 1026-1037
%@ 1673-565X
%D 2007
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2007.A1026
TY - JOUR
T1 - Hierarchical closed form solutions for plates bent by localized transverse loadings
A1 - CARRERA E.
A1 - GIUNTA G.
A1 - BRISCHETTO S.
J0 - Journal of Zhejiang University Science A
VL - 8
IS - 7
SP - 1026
EP - 1037
%@ 1673-565X
Y1 - 2007
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2007.A1026
Abstract: 3D and 2D closed form plate models are here applied to static analysis of simply supported square isotropic plates. 2D theories are hierarchically classified on the basis of the accuracy of the displacements and stresses obtained by comparison to the 3D exact results that could be assumed by the reader as benchmark for further analyses. Attention is mainly paid on localized loading conditions, that is, piecewise constant load. Also bi-sinusoidal and uniformly distributed loadings are taken into account. All of those configurations are considered in order to investigate the behavior of the 2D models in the case of continuous/uncontinuous, centric or off-centric loading conditions. The ratio between the side length a and the plate thickness h has been assumed as analysis parameter. Higher order 2D models yield accurate results for any considered load condition in the case of moderately thick plates, a/h=10. In the case of thick plates, a/h=5, and continuous/uncontinuous centric loading conditions high accuracy is also obtained. For the considered off-centric load condition and thick plates good results are provided for some output quantities. A better solution could be achieved by simply increasing the polynomial approximation order of the axiomatic 2D displacement field.
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