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Open AccessArticle

Layer-Wise Discontinuous Galerkin Methods for Piezoelectric Laminates

1
Department of Engineering, University of Palermo, Viale delle Scienze, Edificio 8, 90128 Palermo, Italy
2
Center for Computational Sciences and Engineering (CCSE), Lawrence Berkeley National Laboratory MS 50A-3111, Berkeley, CA 94720, USA
*
Authors to whom correspondence should be addressed.
Modelling 2020, 1(2), 198-214; https://doi.org/10.3390/modelling1020012
Received: 21 October 2020 / Revised: 23 November 2020 / Accepted: 25 November 2020 / Published: 2 December 2020
(This article belongs to the Special Issue Feature Papers of Modelling)
In this work, a novel high-order formulation for multilayered piezoelectric plates based on the combination of variable-order interior penalty discontinuous Galerkin methods and general layer-wise plate theories is presented, implemented and tested. The key feature of the formulation is the possibility to tune the order of the basis functions in both the in-plane approximation and the through-the-thickness expansion of the primary variables, namely displacements and electric potential. The results obtained from the application to the considered test cases show accuracy and robustness, thus confirming the developed technique as a supplementary computational tool for the analysis and design of smart laminated devices. View Full-Text
Keywords: piezoelectric laminates; composite materials; plate theories; discontinuous Galerkin method piezoelectric laminates; composite materials; plate theories; discontinuous Galerkin method
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MDPI and ACS Style

Benedetti, I.; Gulizzi, V.; Milazzo, A. Layer-Wise Discontinuous Galerkin Methods for Piezoelectric Laminates. Modelling 2020, 1, 198-214. https://doi.org/10.3390/modelling1020012

AMA Style

Benedetti I, Gulizzi V, Milazzo A. Layer-Wise Discontinuous Galerkin Methods for Piezoelectric Laminates. Modelling. 2020; 1(2):198-214. https://doi.org/10.3390/modelling1020012

Chicago/Turabian Style

Benedetti, Ivano; Gulizzi, Vincenzo; Milazzo, Alberto. 2020. "Layer-Wise Discontinuous Galerkin Methods for Piezoelectric Laminates" Modelling 1, no. 2: 198-214. https://doi.org/10.3390/modelling1020012

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