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Electromagnetic fields induced by a point source in a uniaxial multiferroic full-space, half-space, and bimaterial space

Published online by Cambridge University Press:  31 January 2011

X. Wang  and
E. Pan
X. Wang
Affiliation:
Department of Civil Engineering and Department of Applied Mathematics, University of Akron, Akron, Ohio 44325-3905
E. Pan*
Affiliation:
Department of Civil Engineering and Department of Applied Mathematics, University of Akron, Akron, Ohio 44325-3905
*
a)Address all correspondence to this author. e-mail: [email protected]
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Abstract

Multiferroic magnetoelectrics are materials that are both ferroelectric and ferromagnetic in the same phase. In addition, electric and magnetic polarizations are strongly coupled in some magnetoelectric multiferroic materials. In this work, by virtue of the image method, exact closed-form Green’s functions are derived for a uniaxial multiferroic full-space, half-space, and bimaterial space. While for the bimaterial space case the interface is assumed to be perfect, for the half-space case four different sets of surface conditions are considered. The point source can be either an electric or a magnetic charge. Numerical results are presented to demonstrate the differences among the infinite-space, half-space, and bimaterial space Green’s functions.

Keywords

FerroelectricFerromagneticPiezoelectric
Type
Articles
Information
Journal of Materials Research , Volume 22 , Issue 8 , August 2007 , pp. 2144 - 2155
Copyright
Copyright © Materials Research Society 2007

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References

REFERENCES

1Hill, N.A.: Why are there so few magnetic ferroelectrics. J. Phys. Chem. B 104, 6694 2000CrossRefGoogle Scholar
2Hill, N.A., Battig, P.Daul, C.: First principles search for multiferroism in BiCrO3. J. Phys. Chem. B 106, 3383 2002CrossRefGoogle Scholar
3Neaton, J.B., Ederer, C., Waghmare, U.V., Spaldin, N.A.Rabe, K.M.: First-principles study of spontaneous polarization in multiferroic BaFeO3. Phys. Rev. B: Condens. Matter Mater. Phys. 71, 014113 2005CrossRefGoogle Scholar
4Prosandeev, S.Bellaiche, L.: Properties of ferroelectric nanodots embedded in a polarizable medium: Atomistic simulation. Phys. Rev. Lett. 97, 167601 2006CrossRefGoogle Scholar
5Nan, C.W.: Magnetoelectric effect in composites of piezoelectric and piezomagnetic phases. Phys. Rev. B: Condens. Matter Mater. Phys. 50, 6082 1994CrossRefGoogle ScholarPubMed
6Benveniste, Y.: Magnetoelectric effect in fibrous composites with piezoelectric and piezomagnetic phases. Phys. Rev. B: Condens. Matter Mater. Phys. 51, 16424 1995CrossRefGoogle ScholarPubMed
7Li, J.Y.Dunn, M.L.: Anisotropic coupled-field inclusion and inhomogeneity problems. Philos. Mag. A 77, 1341 1998CrossRefGoogle Scholar
8Pan, E.: Three-dimensional Green’s functions in anisotropic magneto-electro-elastic bimaterials. J. Appl. Math. Phys. (ZAMP) 53, 815 2002CrossRefGoogle Scholar
9Pan, E.: Exact solution for simply supported and multilayered magneto-electro-elastic plates. J. Appl. Mech. 68, 608 2001CrossRefGoogle Scholar
10Li, L.J.Li, J.Y.: Electromagnetic fields induced in a uniaxial multiferroic material by a point source or an ellipsoidal inclusion. Phys. Rev. B: Condens. Matter Mater. Phys. 73, 184416 2006CrossRefGoogle Scholar
11Engel, A.Friedrichs, R.: On the electromagnetic force on a polarizable body. Am. J. Phys. 70, 428 2002CrossRefGoogle Scholar
12Love, A.E.H.: A Treatise of the Mathematical Theory of Elasticity Dover New York 1944Google Scholar
13Pan, E.: A general boundary element analysis of 2-D linear elastic fracture mechanics. Int. J. Fract. 88, 41 1997CrossRefGoogle Scholar
14Wang, X.Sudak, L.J.: 3D Green’s functions for a steady point heat source interacting with a homogeneous imperfect interface. J. Mech. Mater. Struct. 1, 1269 2006CrossRefGoogle Scholar
15Pan, E.: Three-dimensional Green’s functions in anisotropic elastic bimaterials with imperfect interfaces. J. Appl. Mech. 70, 180 2003CrossRefGoogle Scholar
16Pan, E.: Three-dimensional Green’s functions in an anisotropic half space with general boundary conditions. ASME. J. Appl. Mech. 70, 101 2003CrossRefGoogle Scholar
17Vlassak, J.J.Nix, W.D.: Measuring the elastic properties of anisotropic materials by means of indentation experiments. J. Mech. Phys. Solids 42, 1223 1994CrossRefGoogle Scholar
18Giannakopoulos, A.E.Suresh, S.: Theory of indentation of piezoelectric materials. Acta Mater. 47, 2153 1999CrossRefGoogle Scholar
19Pan, E.: Mindlin’s problem for an anisotropic piezoelectric half space with general boundary conditions. Proc. R. Soc. London, Ser. A 458, 181 2002CrossRefGoogle Scholar