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Open AccessArticle

On the Convergence of Laminated Composite Plates of Arbitrary Shape through Finite Element Models

1
DICAM Department, University of Bologna, 40136 Bologna, Italy
2
Department of Mechanical Engineering, University of Porto, 4200-465 Porto, Portugal
*
Author to whom correspondence should be addressed.
J. Compos. Sci. 2018, 2(1), 16; https://doi.org/10.3390/jcs2010016
Received: 15 February 2018 / Revised: 2 March 2018 / Accepted: 12 March 2018 / Published: 14 March 2018
(This article belongs to the Special Issue Advanced Composite Materials Applied to Structural Mechanics)
The present work considers a computational study on laminated composite plates by using a linear theory for moderately thick structures. The present problem is solved numerically because analytical solutions cannot be found for such plates when lamination schemes are general and when all the stiffness constants are activated at the constitutive level. Strong and weak formulations are used to solve the present problem and several comparisons are given. The strong form is dealt with using the so-called Strong Formulation Finite Element Method (SFEM) and the weak form is solved using commercial Finite Element (FE) packages. Both techniques are based on the domain decomposition technique according to geometric discontinuities. The SFEM solves the strong form inside each element and needs the implementation of kinematic and static inter-element conditions, whereas the FE solves the weak form and the continuity conditions among the elements are given in terms of displacements only. The results are reported in graphical form in terms of the first three natural frequencies. The accuracy and stability of SFEM and FE are thoroughly discussed. View Full-Text
Keywords: laminated composite plates; first-order shear deformation theory; strong formulation finite element method; finite element method; free vibrations laminated composite plates; first-order shear deformation theory; strong formulation finite element method; finite element method; free vibrations
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MDPI and ACS Style

Fantuzzi, N.; Tornabene, F.; Bacciocchi, M.; Ferreira, A.J.M. On the Convergence of Laminated Composite Plates of Arbitrary Shape through Finite Element Models. J. Compos. Sci. 2018, 2, 16. https://doi.org/10.3390/jcs2010016

AMA Style

Fantuzzi N, Tornabene F, Bacciocchi M, Ferreira AJM. On the Convergence of Laminated Composite Plates of Arbitrary Shape through Finite Element Models. Journal of Composites Science. 2018; 2(1):16. https://doi.org/10.3390/jcs2010016

Chicago/Turabian Style

Fantuzzi, Nicholas; Tornabene, Francesco; Bacciocchi, Michele; Ferreira, Antonio J.M. 2018. "On the Convergence of Laminated Composite Plates of Arbitrary Shape through Finite Element Models" J. Compos. Sci. 2, no. 1: 16. https://doi.org/10.3390/jcs2010016

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