Closed-form solutions for the magnetoelectric coupling coefficients in fibrous composites with piezoelectric and piezomagnetic phases

Wu, Tsung-Lin; Huang, Jin H.

doi:10.1016/s0020-7683(99)00116-x

Cited by 217 publications

(106 citation statements)

References 8 publications

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“…However, in fracture mechanics, it is of importance to determine the perturbation stress τ (1) yz , the perturbation electric displacement D (1) y and the magnetic flux B (1) y in the vicinity of the crack's tips. In the case of the present study, τ (1) yz , D (1) y and B (1) y along the crack line can be expressed respectively as…”

Section: Intensity Factorsmentioning

confidence: 99%

“…In some cases, the coupling effect of piezoelectric/piezomagnetic composites can be even obtained a hundred times larger than that in a single-phase magnetoelectric material. Consequently, they are extensively used as magnetic field probes, electric packaging, acoustic, hydrophones, medical ultrasonic imaging, sensors, and actuators with the responsibility of magneto-electro-mechanical energy conversion (1) . When subjected to mechanical, magnetic and electrical loads in service, these magneto-electro-elastic composites can fail prematurely due to some defects, e.g.…”

Section: Introductionmentioning

confidence: 99%

“…Since then, the magnetoelectric coupling effect of BaTiO 3 -CoFe 2 O 4 composites has been measured by many researchers. Much of the theoretical work for the investigation of magnetoelectric coupling effect has only recently been studied (1) - (3), (5) - (10) . It appears that these approaches have not provided a means to find a closed form solution of a crack in magneto-electro-elastic composites under antiplane shear stress loading.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Closed Form Solution of a Crack in Magneto-Electro-Elastic Composites under Anti-Plane Shear Stress Loading

Zhou

Wang

2005

JSME Int. J., Ser. A

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In this paper, a closed form solution of a crack in magneto-electro-elastic composites under anti-plane shear stress loading is obtained for the permeable crack surface conditions. By using the Fourier transform technique, the problem can be solved with a pair of dual integral equations in which the unknown variable is the jump of the displacements across the crack surfaces. In solving the dual integral equations, the jump of the displacements across the crack surface is expanded in a series of Jacobi polynomials. The closed form solutions of the stress intensity factor, the electric displacement intensity factor and the magnetic flux intensity factor are given. It can be obtained that the stress field is independent of the electric field and the magnetic flux.

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Section: Intensity Factorsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Closed Form Solution of a Crack in Magneto-Electro-Elastic Composites under Anti-Plane Shear Stress Loading

Zhou

Wang

2005

JSME Int. J., Ser. A

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“…ME materials of single phase, multiple phases, and laminate composites have been reported. [2][3][4][5][6][7][8][9][10][11][12] The magnetostrictive-piezoelectric layered laminates have been shown to have much better ME properties than the others. Recently, laminate composite designs have been developed that have higher induced ME voltages.…”

mentioning

confidence: 99%

“…Recently, laminate composite designs have been developed that have higher induced ME voltages. [10][11][12] These laminates consist of longitudinally magnetized and transversely polarized ͑or L-T͒ layers of magnetostrictive Terfenol-D and piezoelectric Pb͑Zr, Ti͒O 3 .…”

mentioning

confidence: 99%

Extremely low frequency response of magnetoelectric multilayer composites

Dong

Zhai

Xing

et al. 2005

Applied Physics Letters

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A promising generation of extremely low frequency magnetic field sensors, based on multilayer composites (MLCs) of magnetostrictive Terfenol-D (Tb1−xDyxFe2−y) and piezoelectric Pb(Mg1∕3Nb2∕3)O3–PbTiO3, has been developed. Our MLC magnetoelectric sensor presently shows a limit in (i) working frequency of ∼5×10−3Hz; and (ii) magnetic field sensitivity of 10−7,10−9, and 10−11T for frequencies of f=10−2, 1, and 102Hz, respectively. The results open up possibilities for sensitive low frequency passive magnetic anomaly detection.

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Non‐local theory solution of a limited‐permeable mode‐I crack in a piezoelectric/piezomagnetic material plane

Zhou

Zhang

2010

Z Angew Math Mech

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The non‐local theory solution of a limited‐permeable mode‐I crack in a piezoelectric/piezomagnetic media was given by using the generalized Almansi's theorem and the Schmidt method in the present paper. The problem was formulated through Fourier transform into two pairs of dual integral equations, in which the unknown variables are the displacement jumps across the crack surfaces. To solve the dual integral equations, the displacement jumps across the crack surfaces were directly expanded as a series of Jacobi polynomials. Numerical examples were provided to show the effects of the lattice parameter, the crack length, the electric permittivity, and the magnetic permeability of the air inside the crack on the stress field, the electric displacement field, and the magnetic field near the crack tip. Different from the classical solution that the present solution exhibits no stress, electric displacement, and magnetic flux singularities at the crack tips in a piezoelectric/piezomagnetic media.

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Closed-form solutions for the magnetoelectric coupling coefficients in fibrous composites with piezoelectric and piezomagnetic phases

Cited by 217 publications

References 8 publications

A Closed Form Solution of a Crack in Magneto-Electro-Elastic Composites under Anti-Plane Shear Stress Loading

A Closed Form Solution of a Crack in Magneto-Electro-Elastic Composites under Anti-Plane Shear Stress Loading

Extremely low frequency response of magnetoelectric multilayer composites

Non‐local theory solution of a limited‐permeable mode‐I crack in a piezoelectric/piezomagnetic material plane

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