Modeling of the Magnetoelectric Effect of Three-Phase Multiferroic Particulate Composites

Tsang, Ch H.; Chau, Kam-Hong; Wong, CK; Wong, YW; Shin, Franklin G.

doi:10.1080/10584580802541080

Cited by 8 publications

(1 citation statement)

References 20 publications

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“…The model showed that these coefficients depended on the sum of the in-plane piezomagnetic strains, ε 11 +ε 22 , which in turn depended strongly on the orientation of the applied magnetic fields relative to the laminate's interface. Tsang et al [29] developed an effective medium-based micromechanical model for 3-phase magnetoelectric composites consisting of spherical magnetostrictive and piezoelectric particles embedded in a conductive polymer matrix. Based on their model, the authors calculated the magnetoelectric charge and voltage coefficients, and the results agreed reasonably well with corresponding experimental data.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Smart Piezo-Magneto-Thermo-Elastic Composite and Reinforced Plates: Part II – Applications

Hadjiloizi

Kalamkarov

Metti

et al. 2014

Curved and Layered Structures

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A comprehensive micromechanical model for the analysis of a smart composite piezo-magneto-thermoelastic thin plate with rapidly varying thickness is developed in Part I of this work. The asymptotic homogenization model is developed using static equilibrium equations and the quasi-static approximation of Maxwell's equations. The work culminates in the derivation of general expressions for effective elastic, piezoelectric, piezomagnetic, dielectric permittivity and other coefficients. Among these coefficients, the so-called product coefficients are determined which are present in the behavior of the macroscopic composite as a result of the interactions between the various phases but can be absent from the constitutive behavior of some individual phases of the composite structure. The model is comprehensive enough to also allow for calculation of the local fields of mechanical stresses, electric displacement and magnetic induction. The present paper determines the effective properties of constant thickness laminates comprised of monoclinic materials or orthotropic materials which are rotated with respect to their principal material coordinate system. A further example illustrates the determination of the effective properties of wafer-type magnetoelectric composite plates reinforced with smart ribs or stiffeners oriented along the tangential directions of the plate. For generality, it is assumed that the ribs and the base plate are made of different orthotropic materials. It is shown in this work that for the purely elastic case the results of the derived model converge exactly to previously established models. However, in the more general case where some or all of the phases exhibit piezoelectric and/or piezomagnetic behavior, the expressions for the derived effective coefficients are shown to be dependent on not only the elastic properties but also on the piezoelectric and piezomagnetic parameters of the constituent materials. Thus, the results presented here represent a significant refinement of previously obtained results.

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Section: Introductionmentioning

confidence: 99%

Analysis of Smart Piezo-Magneto-Thermo-Elastic Composite and Reinforced Plates: Part II – Applications

Hadjiloizi

Kalamkarov

Metti

et al. 2014

Curved and Layered Structures

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Plane stress analysis of magnetoelectric composite and reinforced plates: Applications to wafer‐ and rib‐reinforced plates and three‐layered honeycomb shells

2017

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Key words Magnetoelectric reinforced plate, wafer-and rib-reinforced plate, three-layered honeycomb shell, asymptotic homogenization, product properties.The equations of dynamic force and thermal balance as well as the time-varying form of Maxwell's equations are used to develop a comprehensive asymptotic homogenization model for the design and analysis of composite and reinforced magnetoelectric plates. The model generates twenty unit cell problems that can be used to determine the effective elastic, piezoelectric, piezomagnetic, electrical conductivity and other properties of the structure under consideration. Of particular interest among these effective coefficients are the so-called product properties which are manifested in the macroscopic composite plate via the strain transfer and general interactions between the different phases but may be absent from the behavior of the individual constituents of the composite. Examples of product properties are the magnetoelectric, pyroelectric and pyromagnetic coefficients. This paper applies the model developed to three general magnetoelectric structures; wafer-reinforced plates, rib-reinforced plates, and three-layered honeycomb shells. For the sake of generality, all structures considered are assumed to be made of generally orthotropic constituents. Unlike previous models it is discovered in this work that the effective coefficients of such structures are not constants, but are, instead, functions of time. As a direct consequence, the dependent field variables (stress, strain, electric and magnetic field, heat flux, current density, and all others) are also functions of time; this results in a homogenized structure which exhibits memory-like behavior. In fact, it is shown in this paper that other previously derived models can be viewed as particular special cases of the model developed here when electrical conductivity is ignored and all pertinent quantities are timeaveraged by integrating them over the entire time spectrum. Collectively, the results presented here represent a significant refinement of previously established results. / www.zamm-journal.org 787 point, the substructural variations of the composite have been "smoothed out" and the analyst is left with an equivalent structure characterized by the homogenized or effective coefficients rather than their original, rapidly varying counterparts. Naturally, the effective coefficients are much more amenable to numerical and analytical treatment and once determined, they can be used to study a wide range of boundary value problems involving these structures. Using the effective coefficients, the macroscopic problem, which entails the determination of the dependent field variables, can be readily solved.A large class of problems in elasticity, thermoelasticity and piezo/magneto-elasticity has been solved using asymptotic homogenization. We mention characteristically the comprehensive work of Kalamkarov [5] and Kalamkarov and Kolpakov [6]. Kalamkarov and Georgiades developed general micromechanical models pertai...

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Homogenization and multiscale stability analysis in finite magneto-electro-elasticity. Application to soft matter EE, ME and MEE composites

Miehé

Vallicotti

Teichtmeister

2016

Computer Methods in Applied Mechanics and Engineering

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Modeling of the Magnetoelectric Effect of Three-Phase Multiferroic Particulate Composites

Cited by 8 publications

References 20 publications

Analysis of Smart Piezo-Magneto-Thermo-Elastic Composite and Reinforced Plates: Part II – Applications

Analysis of Smart Piezo-Magneto-Thermo-Elastic Composite and Reinforced Plates: Part II – Applications

Plane stress analysis of magnetoelectric composite and reinforced plates: Applications to wafer‐ and rib‐reinforced plates and three‐layered honeycomb shells

Homogenization and multiscale stability analysis in finite magneto-electro-elasticity. Application to soft matter EE, ME and MEE composites

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