Higher-order 2-D/3-D layerwise mechanics and finite elements for composite and sandwich composite plates with piezoelectric layers

Plagianakos, Theofanis S.; Papadopoulos, Evangelos

doi:10.1016/j.ast.2014.10.015

Cited by 32 publications

(13 citation statements)

References 37 publications

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“…Han and Lee [19] and Hwang and Park [20] extended the Classical Laminate Plate Theory (CLPT) presented in [21] to the analysis of composite plates with piezoelectric actuators using 2D finite elements based on Kirchhoff's assumptions. Other contributors, such as [22][23][24] and [25][26][27][28], used First-order Shear Deformation Theory (FSDT) and Higher-order Shear Deformation Theory (HSDT), respectively. To enrich the kinematics, Kapuria et al [29][30][31][32] introduced in the above works the well-known zigzag theory.…”

Section: Introductionmentioning

confidence: 99%

Linear and quadratic solid–shell finite elements SHB8PSE and SHB20E for the modeling of piezoelectric sandwich structures

Kpeky

Abed‐Meraim

Boudaoud

et al. 2017

Mechanics of Advanced Materials and Structures

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In this paper, hexahedral piezoelectric solid-shell finite element formulations, with linear and quadratic interpolation, denoted by SHB8PSE and SHB20E, respectively, are proposed for the modeling of piezoelectric sandwich structures. Compared to conventional solid and shell elements, the solid-shell concept reveals to be very attractive, due to a number of well-established advantages and computational capabilities. More specifically, the present study is devoted to the modeling and analysis of multilayer structures that incorporate piezoelectric materials in the form of layers or patches. The interest in this solid-shell approach is shown through a set of selective and representative benchmark problems. These include numerical tests applied to various configurations of beam, plate and shell structures, both in static and vibration analysis. The results yielded by the proposed formulations are compared with those given by state-of-the-art piezoelectric elements available in ABAQUS; in particular, the C3D20E quadratic hexahedral finite element with piezoelectric degrees of freedom.

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Section: Introductionmentioning

confidence: 99%

Linear and quadratic solid–shell finite elements SHB8PSE and SHB20E for the modeling of piezoelectric sandwich structures

Kpeky

Abed‐Meraim

Boudaoud

et al. 2017

Mechanics of Advanced Materials and Structures

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show abstract

“…This is due to the limitations in the analytical methods which are applicable only for certain geometry and boundary conditions (Kant and Swaminathan 2001, Mantari and Ore 2015, Maturi et al 2014, Noor 1973, Plagianakos and Papadopoulos 2015, Srinivas and Rao 1970. Khatua and Cheung (1973) were one of the first to use the FEM in the analysis of this type of structures.…”

Section: Introductionmentioning

confidence: 99%

On the Free Vibration Analysis of Laminated Composite and Sandwich Plates: A Layerwise Finite Element Formulation

Belarbi

Tati

Ounis

et al. 2017

Lat. Am. j. solids struct.

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“…Their work has been extended by Han and Lee [20] as well as by Hwang and Park [21], in order to analyze composite plates with piezoelectric actuators using 2D finite elements based on Kirchhoff's assumptions. Several other authors used Firstorder Shear Deformation Theory (FSDT) and Higher-order Shear Deformation Theory (HSDT), such as in [22][23][24] and in [25][26][27][28], respectively. To enrich the kinematics with respect to the above-discussed works, Kapuria et al [29][30][31][32] introduced the well-known zigzag theory.…”

Section: Introductionmentioning

confidence: 99%

New linear and quadratic prismatic piezoelectric solid–shell finite elements

Kpeky

Abed‐Meraim

Daya

2018

Applied Mathematics and Computation

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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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Higher-order 2-D/3-D layerwise mechanics and finite elements for composite and sandwich composite plates with piezoelectric layers

Cited by 32 publications

References 37 publications

Linear and quadratic solid–shell finite elements SHB8PSE and SHB20E for the modeling of piezoelectric sandwich structures

Linear and quadratic solid–shell finite elements SHB8PSE and SHB20E for the modeling of piezoelectric sandwich structures

On the Free Vibration Analysis of Laminated Composite and Sandwich Plates: A Layerwise Finite Element Formulation

New linear and quadratic prismatic piezoelectric solid–shell finite elements

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