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Journal ArticleDOI

Steady-state analysis of a three-layered electro-magneto-elastic strip in a thermal environment

23 Jan 2007-Smart Materials and Structures (IOP Publishing)-Vol. 16, Iss: 2, pp 282-295
TL;DR: In this paper, a three-layered electro-magneto-elastic strip is investigated under a plane stress condition using finite element procedures, and steady state analysis is carried out to study the influence of piezo and magnetic constants on displacement, electric and magnetic potential across the thickness direction.
Abstract: In this paper, a three-layered electro-magneto-elastic strip is investigated under a plane stress condition using finite element procedures. Two types of thermal loading, uniform temperature rise and non-uniform temperature distribution, are used. A two-dimensional rectangular element with four nodal degrees of freedom viz. thermal displacements in the x1 and x3 directions, and electric and magnetic potentials, is used to discretize the finite element model. The uncoupled and coupled analysis is carried out for two types of stacking sequence (B/F/B and F/B/F) under fixed–fixed and fixed–simply supported boundary conditions. Steady-state analysis is carried out to study the influence of piezo and magnetic constants on displacement, electric and magnetic potential across the thickness direction. It is found that the discontinuities of normal stress σ1 occur on interfaces of two dissimilar materials across the thickness direction.
Citations
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Journal ArticleDOI
TL;DR: In this paper, a finite element formulation accounting for multiphysics response of multilayered magneto-electro-elastic (MEE) plates in the thermal environment has been presented.

87 citations

Journal ArticleDOI
TL;DR: In this paper, a three dimensional finite element (FE) formulation for a multilayered magneto-electro-elastic (MEE) beam in thermal environment is presented and the equilibrium equations of the system are attained using the principle of total potential energy and linear coupled constitutive equations of MEE material.

80 citations

Journal ArticleDOI
TL;DR: In this paper, the effect of hygrothermal environment on the free vibration characteristics of magneto-electro-elastic (MEE) plates has been studied using finite element method.

76 citations

Journal ArticleDOI
TL;DR: In this article, the static response of magneto-electro-elastic (MEE) plate subjected to hygrothermal loads is investigated using the finite element (FE) method.

74 citations

Journal ArticleDOI
TL;DR: In this article, a magnetoelectric laminated composite of BaTiO3/CoFe2O4 was prepared by the conventional solid-state sintering method.

61 citations

References
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Journal ArticleDOI
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.
Abstract: The magnetoelectric effect in composites of piezoelectric and piezomagnetic phases is investigated theoretically. The magnetoelectric effect is totally absent in these two constituent phases, and so it is a new property of the composites. 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. Explicit relations for determining the effective magnetoelectric effect in the composites are derived, and the different approximate expressions for the magnetoelectric coefficient of the fibrous composites with 1-3 or 3-1 connectivity of phases are given. To illustrate the technique, numerical calculations of the magnetoelectric coefficients of the BaTiO3-CoFe2O4 composites for various phase compositions and particle shapes are performed. The theoretical estimates are shown to be in agreement with available experimental results, and also show the interesting magnetoelectric behavior of the composites.

1,127 citations

Journal ArticleDOI
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.
Abstract: Exact solutions are derived for three-dimensional, anisotropic, linearly magneto-electroelastic, simply-supported, and multilayered rectangular plates under static loadings. While the homogeneous solutions are obtained in terms of a new and simple formalism that resemble the Stroh formalism, solutions for multilayered plates are expressed in terms of the propagator matrix. The present solutions include all the previous solutions, such as piezoelectric, piezomagnetic, purely elastic solutions, as special cases, and can therefore serve as benchmarks to check various thick plate theories and numerical methods used for the modeling of layered composite structures. Typical numerical examples are presented and discussed for layered piezoelectric/piezomagnetic plates under surface and internal loads.

584 citations

Journal ArticleDOI
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.
Abstract: We consider the magnetoelectric effect arising in a multilayer composite consisting of bonded layers of a piezoelectric ceramic and a magnetostrictive material operating in the linear regime. Magnetoelectric coupling arises from the mechanical contacts between layers and the elec tric/mechanical and magnetic/mechanical coupling in each phase. Calculations of the magnetoelec tric coefficient α* as well as of the figures of merit kme and kme,cl are presented. These calculations fully take into account the electric, magnetic and mechanical mismatch in the material properties, as well as the volume-fractions of both materials. We derive the optimal volume fraction fcrit1 of piezoelectric material needed to maximize the figure of merit k fme or kme,cl for the composite and give criteria for optimizing the magnetoelectric effect in terms of the choice of the individual constit uents. We computed the figures of merit of a variety of piezoelectric/magnetostrictive combinations. The combinations CoFe2O4/PZT5H (kme...

348 citations

Journal ArticleDOI
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.
Abstract: Fibrous composite systems characterized by a cylindrical microgeometry and consisting of a piezoelectric and a piezomagnetic phase with thermal effects are considered. These composites exhibit a magnetoelectric effect that is not present in the constituents. Exact connections are derived between the effective moduli of such systems. These relations are independent of the details of the microgeometry and of the particular choice of the averaging model. In the case of overall transverse isotropy the composite is characterized by twenty one constants. We show that there are sixteen connections for a subset of twenty effective moduli. Simple expressions are also derived for the effective constants of the composite cylinder assemblage microgeometry in such systems.

346 citations

Journal ArticleDOI
TL;DR: In this paper, a unified method based on the inclusion formulation is proposed to determine the magnetic, electric, and elastic fields in a composite with piezoelectric and piezomagnetic phases.
Abstract: A unified method based on the inclusion formulation is proposed to determine the magnetic, electric, and elastic fields in a composite with piezoelectric and piezomagnetic phases. The composite reinforcements are treated as ellipsoidal inclusions that enable the reinforcement geometries ranging from thin flakes to continuous fibers. Utilizing the proposed method, the magneto-electro-elastic tensors analogous to Eshelby tensors for elastic ellipsoidal inclusions are obtained. With these tensors, the magnetic, electric, and elastic fields around the inclusion as well as concentration factors are determined. Furthermore, based upon the Mori–Tanaka mean-field theory [Acta Metall. 21, 571 (1973)] to account for the interaction between inclusions and matrix, the effective magneto-electro-elastic constants (elastic moduli, piezoelectric coefficients, dielectric constants, piezomagnetic coefficients, magnetoelectric, and magnetic permeability) of the composites are expressed explicitly in terms of phase propertie...

340 citations