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Layerwise partial mixed finite element analysis of magneto-electro-elastic plates

TLDR
In this paper, a partial mixed layerwise finite element model for adaptive plate structures is presented by considering a Reissner mixed variational principle, and the mixed functional is formulated using transverse stresses, displacement components and electric and magnetic potentials as primary variables.
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This article is published in Computers & Structures.The article was published on 2004-07-01. It has received 148 citations till now. The article focuses on the topics: Mixed finite element method & Extended finite element method.

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Mechatronics: Dynamics of Electromechanical and Piezoelectric Systems

TL;DR: In this paper, the Lagrangian dynamics of mechanical systems are studied and Lagrange's equations with constraints with respect to kinematic constraints for continuous systems are presented. But the authors focus on continuous systems and do not consider the case of discrete transducers.
Journal ArticleDOI

Free vibration response of two-dimensional magneto-electro-elastic laminated plates

TL;DR: In this article, an approximate solution for the free vibration problem of two-dimensional magneto-electro-elastic laminates is presented to determine their fundamental behavior, which is composed of linear homogeneous elastic, piezoelectric, or magnetostrictive layers with perfect bonding between each interface.
Journal ArticleDOI

Applicability of the crack-face electromagnetic boundary conditions for fracture of magnetoelectroelastic materials

TL;DR: In this paper, different electromagnetic boundary conditions on the crack-faces in magnetoelectroelastic materials, which possess coupled piezoelectric, piezomagnetic and magnetelectric effects, are discussed.
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An overview of layerwise theories for composite laminates and structures: Development, numerical implementation and application

TL;DR: This review is expected to provide a clear picture of layerwise theory for modeling of composite laminated structures and serve as a useful resource and guide to researchers who intend to extend their work into these research areas.
Journal ArticleDOI

Static analysis of simply supported functionally graded and layered magneto-electro-elastic plates

TL;DR: In this article, Chen et al. derived a finite element model based on constitutive equation of piezomagnetic material accounting for coupling between elasticity, electric and magnetic effect, and modeled the finite element with displacement components, electric potential and magnetic potential as nodal degree of freedom.
References
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Journal ArticleDOI

On a certain mixed variational theorem and a proposed application

TL;DR: In this article, the authors propose an equation variationnelle for les deplacements and certain contraintes in vue d'une application aux plaques elastiques stratifiees isotropes and anisotropes.
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Free vibrations of simply supported and multilayered magneto-electro-elastic plates

TL;DR: In this paper, the dispersion equation that characterizes the relationship between the natural frequency and the wavenumber can be obtained in a simple form for multilayered rectangular plates, and the present solution includes all previous solutions, such as piezoelectric, piezomagnetic and purely elastic solutions as special cases.
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Layerwise mechanics and finite element for the dynamic analysis of piezoelectric composite plates

TL;DR: In this paper, the analysis of laminated composite plate structures with piezoelectric actuators and sensors is presented, where the authors implement layerwise representations of displacements and electric potential, and can model both the global and local electromechanical response of smart composite laminates.
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Evaluation of Layerwise Mixed Theories for Laminated Plates Analysis

Erasmo Carrera
- 01 Jan 1998 - 
TL;DR: In this paper, a mixed layer-wise model is proposed to calculate the in-plane and out-of-plane responses of thick plates in two-dimensional modeling of multilayered structures.
Journal ArticleDOI

Exact free‐vibration analysis of laminated plates with embedded piezoelectric layers

TL;DR: In this paper, exact solutions for predicting the coupled electromechanical vibration characteristics of simply supported laminated piezoelectric plates composed of orthorhombic layers were developed.
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