A layer-wise MITC9 finite element for the free-vibration analysis of plates with piezo-patches

Cinefra, M, Valvano, S and Carrera, E 2015, 'A layer-wise MITC9 finite element for the free-vibration analysis of plates with piezo-patches', International Journal of Smart and Nano Materials, vol. 6, no. 2, pp. 85-104.


Document type: Journal Article
Collection: Journal Articles

Title A layer-wise MITC9 finite element for the free-vibration analysis of plates with piezo-patches
Author(s) Cinefra, M
Valvano, S
Carrera, E
Year 2015
Journal name International Journal of Smart and Nano Materials
Volume number 6
Issue number 2
Start page 85
End page 104
Publisher Taylor & Francis
Abstract The present article considers the free-vibration analysis of plate structures with piezoelectric patches by means of a plate finite element with variable through-the-thickness layer-wise kinematic. The refined models used are derived from Carreras Unified Formulation (CUF) and they permit the vibration modes along the thickness to be accurately described. The finite-element method is employed and the plate element implemented has nine nodes, and the mixed interpolation of tensorial component (MITC) method is used to contrast the membrane and shear locking phenomenon. The related governing equations are derived from the principle of virtual displacement, extended to the analysis of electromechanical problems. An isotropic plate with piezoelectric patches is analyzed, with clamped-free boundary conditions and subjected to open-and short-circuit configurations. The results, obtained with different theories, are compared with the higher-order type solutions given in the literature. The conclusion is reached that the plate element based on the CUF is more suitable and efficient compared to the classical models in the study of multilayered structures embedding piezo-patches.
Subject Materials Engineering not elsewhere classified
Keyword(s) Carrera's Unified Formulation
finite-element method
layer-wise
mixed interpolated
patches
piezoelectric materials
plate
tensorial components
DOI - identifier 10.1080/19475411.2015.1037377
Copyright notice © 2015 The Author(s). Published by Taylor & Francis. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecom mons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
ISSN 1947-5411
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