PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY
Edited by: B.H.V. Topping and C.A. Mota Soares
Analysis of Composite Plates using a Layerwise Theory and Radial Basis Functions
Department of Mechanical Engineering and Industrial Management, Faculty of Engineering, University of Porto, Portugal
Full Bibliographic Reference for this paper
A.J.M. Ferreira, "Analysis of Composite Plates using a Layerwise Theory and Radial Basis Functions", in B.H.V. Topping, C.A. Mota Soares, (Editors), "Proceedings of the Seventh International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 32, 2004. doi:10.4203/ccp.79.32
sandwich, radial basis functions, multiquadrics, layerwise theory.
The classical laminate plate theory and the first-order shear deformation
describe with reasonable accuracy the kinematics of most
laminates. Higher-order theories can represent the kinematics better, may
disregard shear correction factors and yield more accurate transverse shear
All such theories consider the same degrees of freedom for all laminate
layers. In some cases, particularly in sandwich appplications, the
difference between material properties makes it difficult for such theories
to fully accomodate the bending behaviour. In fact most of them do not
correctly represent the transverse shear stresses. Another set of theories
that were introduced back in the 1980's are the layerwise theories, that
consider independent degrees of freedom for each layer. The layerwise
theory of Reddy [12
] is perhaps the most popular layerwise theory for
composite and sandwich plate analysis. In this work we adopt a somewhat
different kind of a layerwise theory, based on an expansion of Mindlin's
first order shear deformation theoryin each layer. The displacement
continuity at layer's interface is garanteed. Also such theories produce
directly very accurate transverse shear stress, although constant, in each
layer. Some interesting layerwise or zig-zag theories have also been
presented by Mau [8
], Chou and Corleone [13
Di Sciuva [14
], Murakami [15
] and Carrera [17
This paper considers the analysis of composite laminated plates by
multiquadrics RBFs [18,19] and by using a layerwise theory. This combination
allows the accurate analysis of isotropic, composite and sandwich plates of
arbitrary shape and boundary conditions.
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