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

Wang, Yan; Su, Yu; Li, Jackie; Weng, George J.

doi:10.1063/1.4919016

Cited by 46 publications

(18 citation statements)

References 36 publications

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“…The nature of this c int is plotted in Fig. 8.2 along with the c int ¼ 0:01 used in Wang et al (2015) in the evaluation of α 33 and α 11 . It can be seen that there is little difference between the two when c 1 < 0:8, but this new interface model has the virtue that the interface will disappear as c 1 !…”

Section: Resultsmentioning

confidence: 99%

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Magnetoelectric Coupling and Overall Properties of a Class of Multiferroic Composites

Wang

Weng

2016

Advances in Nanocomposites

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In this chapter we present a widely useful composite model for the calculation of magnetoelectric coupling and all other properties of a two-phase multiferroic composite consisting of aligned piezomagnetic (or piezoelectric) spheroidal inclusions in a piezoelectric (or piezomagnetic) matrix. Both perfect and imperfect interface conditions are considered. Among the many features of the properties reported is the intriguing magnetoelectric coupling that signifies the "0 þ 0 ! 1" product effect of the multiferroic composite. It is also reported that, due to the piezoelectric-piezomagnetic interaction, the elastic C 44 of the composite can be substantially higher than that of either of the two phases. We have used the theory to calculate the 17 independent material constants: 5 elastic, 3 piezoelectric, 3 piezomagnetic, 2 dielectric, 2 magnetic, and 2 magnetoelectric coefficients of a transversely isotropic BaTiO 3 -CoFe 2 O 4 composite, and show how these magneto-electro-elastic constants depend on the volume concentration, aspect ratio of inclusions, and the interface condition. We conclude by pointing out that a weak interface model is often required to capture the experimentally measured data of a bulk multiferroic composite. IntroductionA multiferroic composite generally refers to a two-phase composite involving two ferroic phases. Most notable among them is the piezoelectric-piezomagnetic composite. The piezoelectric phase, such as barium titanate (BaTiO 3 , or BTO), lead zirconium titanate (PZT), and lead magnesium titanate-lead titanate (PMT-PT), is generally transversely isotropic, and so is the piezomagnetic phase, such as cobalt ferrite (CoFe 2 O 4 , or CFO), Terfenol-D, lanthanum strontium manganite (LSMO), and nickel ferrite (NFO). In such composites, strong coupling tends to develop Y. Wang • G.J. Weng (*) Department of Mechanical and Aerospace Engineering, Rutgers University, New Brunswick, NJ 08903, USA e-mail: yang.wang@rutgers.edu; weng@jove.rutgers.edu © Springer International Publishing Switzerland 2016 S.A. Meguid (ed.), Advances in Nanocomposites, DOI 10.1007/978-3-319-31662-8_8 189 among the elastic, piezoelectric, dielectric, piezomagnetic, and magnetic properties of the constituent phases. These coupling effects can lead to some unique overall properties for the composite. Among the most intriguing features of the coupled effects is the generation of the magnetoelectric coupling coefficients, α 33 and α 11 , which are absent in either the piezoelectric or the piezomagnetic phase alone. This property enables the composite to exhibit magnetization under an electric field, and electric polarization under a magnetic field. It is the so-called "0 þ 0 ! 1" product effect that makes this class of composite so appealing. For instance, in information storage this coupling allows the data to be written electronically and read magnetically; it does not require the generation of a strong local magnetic field to write. In addition, the strong coupling can also make the elastic constant, C 44 , of...

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Section: Resultsmentioning

confidence: 99%

“…(8.8). To calculate the properties under the imperfect interface condition, the following interphase properties-taken from Wang et al (2015)-will be adopted:…”

Section: Resultsmentioning

confidence: 99%

Magnetoelectric Coupling and Overall Properties of a Class of Multiferroic Composites

Wang

Weng

2016

Advances in Nanocomposites

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“…[18] and first applied to the electrical conductivity of CNT and graphene-polymer nanocomposites with electron tunneling and percolation threshold by the authors of Refs. [19,20]. A dynamical approach to the models of Mori-Tanaka (for aligned ellipsoidal inclusions) and Ponte Castañeda-Willis (for both aligned and randomly ellipsoidal inclusions) is developed in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…It is remarkable that the axial conductivity is the main property that affects the transport process even when the transverse conductivity has the lowest value. Calculations of magnetoelectric coupling coefficients and voltage coefficients can be found [20] by a model based on Mori-Tanaka scheme for the perfect interface case, and then, a thin layer between the inclusion and the matrix is introduced to study the imperfect contact scenario. Moreover, comparisons with experimental data for the magnetoelectric voltage coefficient are made, with a good accuracy between the predictions and the experimental results.…”

Section: Introductionmentioning

confidence: 99%

Maxwell homogenization scheme for piezoelectric composites with arbitrarily-oriented spheroidal inhomogeneities

et al. 2019

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homogenization scheme for piezoelectric composites with arbitrarily-oriented spheroidal inhomogeneities.Abstract In this work, the effective electro-elastic properties of piezoelectric composites are computed using the Maxwell homogenization method (MHM). The composites are made by several families of spheroidal inhomogeneities embedded in a homogeneous infinite medium (matrix). Each family of spheroidal inhomogeneities is made of the same material, and all the inhomogeneities have identical size and shape and are randomly oriented. The inhomogeneities and matrix materials exhibit piezoelectric transversely isotropic symmetry. It is shown that the shape of the "effective inclusion" substantially affects the effective piezoelectric properties. A new and simple form to calculate the aspect ratio of effective inclusion is presented. The effect on the overall piezoelectric properties due to the orientation of the inhomogeneities and different families of piezoelectric inhomogeneities is discussed. The MHM approach is applied in two examples, material with inhomogeneities having scatter orientation and composites with two different families of spheroidal inhomogeneities.

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“…Therefore, it is very important to analyze the interference effect between dislocations and cracks under the coupling of a force field, electric field, and magnetic field. It is helpful in fully understanding the magneto-electro-elastic coupling performance of piezoelectric-piezomagnetic composites and can provide a scientific basis for fracture failure and damage criteria of composite materials [7][8][9][10][11][12][13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Interaction between a generalized screw dislocation in the matrix and an inhomogeneity containing an elliptic hole in piezoelectric–piezomagnetic composite materials

Peng

Yang

2019

Mathematics and Mechanics of Solids

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The paper deals with the interaction of a generalized screw dislocation and an elliptic inhomogeneity containing a confocal elliptic hole in a magneto-electro-elastic composite material. Exact solutions are derived for the case where the generalized screw dislocation is located in the matrix under a remote anti-plane shear stress field, an in-plane electric field, and a magnetic field. Based on the complex variable method, the complex potentials of both the matrix and the inhomogeneity are obtained in series, and analytic expressions for the generalized stress and strain field, the image force, the generalized stress intensity factor of the blunt crack tip, and the energy release rate are derived explicitly. The presented solutions include some previous solutions, such as pure elastic, piezoelectric, piezomagnetic, and circular inclusions. Typical numerical examples are presented and the influences of the dislocation position, the volume of inhomogeneity, and the elliptic hole on these physical quantities are discussed. The results show that the magneto-electro-elastic coupling effect has a great influence on the image force and the equilibrium position of dislocation, especially when the dislocation approaches the interface; the coupling effect makes the image force on the screw dislocation follow different variation laws in piezoelectric–piezomagnetic composite materials compared with elastic materials.

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

Cited by 46 publications

References 36 publications

Magnetoelectric Coupling and Overall Properties of a Class of Multiferroic Composites

Magnetoelectric Coupling and Overall Properties of a Class of Multiferroic Composites

Maxwell homogenization scheme for piezoelectric composites with arbitrarily-oriented spheroidal inhomogeneities

Interaction between a generalized screw dislocation in the matrix and an inhomogeneity containing an elliptic hole in piezoelectric–piezomagnetic composite materials

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