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Journal ArticleDOI

State vector approach to analysis of multilayered magneto-electro-elastic plates

TLDR
In this article, the state vector equations for three dimensional, orthotropic and linearly magneto-electro-elastic media are derived from the governing equations by eliminating σ x, σ y · τ xy, B x, B y, D x and D y.
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This article is published in International Journal of Solids and Structures.The article was published on 2003-04-01. It has received 158 citations till now. The article focuses on the topics: Magnetic potential.

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Citations
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On free vibration of non-homogeneous transversely isotropic magneto-electro-elastic plates

TL;DR: In this paper, two independent state equations for transversely isotropic magneto-electro-elastic media by introducing proper stress and displacement functions are established for free vibration problem of simply supported rectangular plates with general inhomogeneous material properties along the thickness direction.
Journal ArticleDOI

Wave propagation in magneto-electro-elastic multilayered plates

TL;DR: In this paper, an analytical treatment is presented for the propagation of harmonic waves in magneto-electro-elastic multilayered plates, where the general anisotropic and three-phase coupled constitutive equations are used.
Journal ArticleDOI

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

TL;DR: 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.
Journal ArticleDOI

Buckling and free vibration of magnetoelectroelastic nanoplate based on nonlocal theory

TL;DR: In this article, the buckling and free vibration of magnetoelectroelastic nanoplate resting on Pasternak foundation is investigated based on nonlocal Mindlin theory, where the in-plane electric and magnetic fields can be ignored for nanoplates.
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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Book

Introduction to Matrix Analysis

TL;DR: In this article, the Second Edition Preface is presented, where Maximization, Minimization, and Motivation are discussed, as well as a method of Hermite and Quadratic Form Index.
Journal ArticleDOI

Magnetoelectric effect in composites of piezoelectric and piezomagnetic phases

TL;DR: A generalized theoretical framework based on a Green's function method and perturbation theory is proposed to treat the coupled magnetoelectric behavior in the composites, and the theoretical estimates are shown to be in agreement with available experimental results.
Journal ArticleDOI

Exact Solution for Simply Supported and Multilayered Magneto-Electro-Elastic Plates

TL;DR: In this paper, exact solutions for three-dimensional, anisotropic, linearly magneto-electroelastic, simply-supported, and multilayered rectangular plates under static loadings are derived.
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Magnetoelectric Effect in Piezoelectric/Magnetostrictive Multilayer (2-2) Composites

TL;DR: In this paper, the authors considered the magnetoelectric effect arising in a multilayer composite consisting of bonded layers of a piezoelectoric ceramic and a magnetostrictive material operating in the linear regime.
Journal ArticleDOI

Magnetoelectric effect in fibrous composites with piezoelectric and piezomagnetic phases.

TL;DR: Fibrous composite systems characterized by a cylindrical microgeometry and consisting of a Piezoelectric and a piezomagnetic phase with thermal effects are considered and it is shown that there are sixteen connections for a subset of twenty effective moduli.
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