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New linear and quadratic prismatic piezoelectric solid–shell finite elements

Article dans une revue avec comité de lecture
Author
KPEKY, Fessal
ccABED-MERAIM, Farid 
178323 Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux [LEM3]
243747 Labex DAMAS
DAYA, El Mostafa

URI
http://hdl.handle.net/10985/17516
DOI
10.1016/j.amc.2017.03.050
Date
2018
Journal
Applied Mathematics and Computation

Abstract

In this work, we propose two prismatic piezoelectric solid–shell elements based on fully three-dimensional kinematics. For this purpose, we perform electromechanical coupling, which consists in adding an electrical degree of freedom to each node of the purely mechanics-based versions of these elements. To increase efficiency, these geometrically three-dimensional elements are provided with some desirable shell features, such as a special direction, designated as the thickness, along which the integration points are located, while adopting a reduced integration rule in the other directions. To assess the performance of the proposed piezoelectric solid–shell elements, a variety of benchmark tests, both in static and vibration analysis, have been performed on multilayer structures ranging from simple beams to more complex structures involving geometric nonlinearities. Compared to conventional finite elements with the same kinematics, the evaluation results allow highlighting the higher performance of the newly developed solid–shell technology.

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