Fibrous composites of piezoelectric and piezomagnetic phases

Kuo, Hsin-Yi; Bhattacharya, Kaushik

doi:10.1016/j.mechmat.2012.12.004

Cited by 27 publications

(16 citation statements)

References 36 publications

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“…c d e f connection for a two-phase composite and is verified by Kuo and Bhattacharya (2013) for the multiferroic fibrous composites with perfect interfaces. However, numerical check shows that the effective moduli of piezoelectric-piezomagnetic fibrous composite with imperfect interfaces do not satisfy (39).…”

Section: Numerical Results and Discussionmentioning

confidence: 59%

“…Note that the sine terms that would be present in a general expansion are missing since a uniaxial loading along the x-direction is imposed. Further, the higher power terms of r n and r Àn that would also be present in the general expansion (Kuo and Bhattacharya, 2013) are missing since the corresponding coefficients are zero when we only consider a single inclusion.…”

Section: Micromechanical Modelmentioning

confidence: 99%

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Decoupling transformation for piezoelectric–piezomagnetic fibrous composites with imperfect interfaces

Kuo

Chen

2015

International Journal of Solids and Structures

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a b s t r a c tWe study the effective magnetoelectricity of piezoelectric-piezomagnetic fibrous composites with imperfect interfaces subjected to anti-plane shear deformation coupled to in-plane electromagnetic fields. Two kinds of imperfect interfaces, mechanically stiff and highly electromagnetic conducting interfaces, and mechanically compliant and weakly electromagnetic conducting interfaces, are considered for the phenomenon of contact resistance between the constituents. The decoupling transformation approach previously used in composite media with perfect interfaces is extended to the current configuration. The predicted macroscopic behaviors are in good agreement with the known solutions. It is observed that moduli of the composite with imperfect contacts do not fulfill the compatibility conditions L Ã L À1 a L b À L b L À1 a L Ã ¼ 0, which was supposed to be microstructure independent connections for the twophase heterogeneous media. Finally, we use the two-level recursive scheme to show the equivalence between the imperfect interfaces and an infinity thin homogeneous interface layer.

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Section: Numerical Results and Discussionmentioning

confidence: 59%

Section: Micromechanical Modelmentioning

confidence: 99%

Decoupling transformation for piezoelectric–piezomagnetic fibrous composites with imperfect interfaces

Kuo

Chen

2015

International Journal of Solids and Structures

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“…Finite element method was also applied to study the effective properties of an elastic medium with a piezoelectric phase and a piezomagnetic phase embedded (Lee et al, 2005). Recently, Kuo and Bhattacharya (2013) expanded Rayleigh's formulation on periodic conductive composites to mechanicalemagneticeelectric composites and obtained expressions for the elastic, electric and magnetic potentials for the cylinders and the matrix to compute the effective moduli.…”

Section: Introductionmentioning

confidence: 99%

Constructing potentials to evaluate magneto-electro-elastic materials in contact with periodically rough surface

Zhou

Kim

2015

European Journal of Mechanics - A/Solids

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“…In a separate contribution Li and Dunn 19 also considered a similar problem but gave results only for the fibrous (1-3) and multilayer systems. The 2-2 connectivity was also analyzed by Bichurin et al, 20 Wang et al, 21 Kuo et al, 22 Chen et al, 23 and Liu et al, 24 while another aspectratio dependence was further reported by Srinivas et al 25 Recently Liu and Kuo, and Kuo and Bhattacharya 26,27 also analyzed the fibrous and bilayer systems.…”

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confidence: 97%

A theory of magnetoelectric coupling with interface effects and aspect-ratio dependence in piezoelectric-piezomagnetic composites

Wang

et al. 2015

Journal of Applied Physics

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Articles you may be interested inPredicting effective magnetoelectric response in magnetic-ferroelectric composites via phase-field modeling Appl. Phys. Lett. Effective magnetoelectric effect in multicoated circular fibrous multiferroic compositesIn a piezoelectric-piezomagnetic composite, one of the most intriguing features of its characteristics is the presence of magnetoelectric coupling coefficient even though neither phase possesses such a property. This quantity is often considered to be the figure of merits, but its magnitude depends on the phase properties, connectivity, volume concentration, inclusion shape, and interfacial conditions. In this article, we develop a composite model with aligned spheroidal inclusions in the matrix to account for all these microstructural features. With a focus on the BaTiO 3 -CoFe 2 O 4 (BTO-CFO) system, we demonstrate how its coupling coefficients, a 33 and a 11 , and voltage coefficients, a E33 and a E11 , depend on these factors. In particular, we show that a weak interface could significantly lower the coupling effect, 1-3 composites tend to deliver a stronger a 33 while 2-2 composites a stronger a 11 , and that CFO-in-BTO composites provide stronger coupling than BTO-in-CFO. We conclude by demonstrating that consideration of a weak interface is often essential to model a real system, and that experimentally measured a E33 for CFO-in-BTO falls below the ideal value of perfect interface but can be predicted by a weak interface model. For ready applications, explicit expressions of a 33 and a 11 of fibrous composites and multilayers are also given for both perfect and imperfect interface conditions. V C 2015 AIP Publishing LLC.

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Fibrous composites of piezoelectric and piezomagnetic phases

Cited by 27 publications

References 36 publications

Decoupling transformation for piezoelectric–piezomagnetic fibrous composites with imperfect interfaces

Decoupling transformation for piezoelectric–piezomagnetic fibrous composites with imperfect interfaces

Constructing potentials to evaluate magneto-electro-elastic materials in contact with periodically rough surface

A theory of magnetoelectric coupling with interface effects and aspect-ratio dependence in piezoelectric-piezomagnetic composites

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