Three-dimensional analysis of piezoelectric/piezomagnetic elastic media

This paper presents an exact three-dimensional method of solution for a transversely isotropic piezoelectric/piezomagnetic elastic media. The control partial differential equation set that is expressed by the elastic displacement, electric potential and magnetism potential function are established. By means of drawing two-displacement potential functions the general solution for three-dimensional transversely isotropic magneto-electro-elastic is derived. As an illustrative example, the analysis solutions of a half space body of magneto-electro-elastic acted by a point force at the origin directed along the z-axis and a point charge and a point electric current at the origin are obtained.

[1]  Linfeng Chen,et al.  The state vector methods for space axisymmetric problems in multilayered piezoelectric media , 2002 .

[2]  E. Pan,et al.  Exact Solution for Simply Supported and Multilayered Magneto-Electro-Elastic Plates , 2001 .

[3]  Linfeng Chen,et al.  State vector approach to analysis of multilayered magneto-electro-elastic plates , 2003 .

[4]  D. R. Terrell,et al.  An in situ grown eutectic magnetoelectric composite material , 1974 .

[5]  Zhao Yong-bin,et al.  Green's functions for anisotropic magnetoelectroelastic solids with an elliptical cavity or a crack , 2001 .

[6]  Jianguo Wang,et al.  The state vector methods of axisymmetric problems for multilayered anisotropic elastic system , 1999 .

[7]  Marco Avellaneda,et al.  Magnetoelectric Effect in Piezoelectric/Magnetostrictive Multilayer (2-2) Composites , 1994 .

[8]  Ding Haojiang,et al.  General solutions for coupled equations for piezoelectric media , 1996 .

[9]  Martin L. Dunn,et al.  Green's functions for transversely isotropic piezoelectric solids , 1996 .

[10]  Zheng Bailin,et al.  The general solution of three-dimensional problems in piezoelectric media , 1995 .

[11]  W. Kuo,et al.  The analysis of piezoelectric/piezomagnetic composite materials containing ellipsoidal inclusions , 1997 .

[12]  Jianguo Wang.  State vector solutions for nonaxisymmetric problem of multilayered half space piezoelectric medium , 1999 .

[13]  Benveniste.  Magnetoelectric effect in fibrous composites with piezoelectric and piezomagnetic phases. , 1995, Physical review. B, Condensed matter.

[14]  Jiangyu Li,et al.  Magnetoelectroelastic multi-inclusion and inhomogeneity problems and their applications in composite materials , 2000 .

[15]  Guan Qun.  State space solution of the layered axial symmetric problem in piezoelectric,piezomagnetic and elastic media , 2003 .

[16]  Tsung-Lin Wu,et al.  Closed-form solutions for the magnetoelectric coupling coefficients in fibrous composites with piezoelectric and piezomagnetic phases , 2000 .

[17]  C. Nan,et al.  Magnetoelectric effect in composites of piezoelectric and piezomagnetic phases. , 1994, Physical review. B, Condensed matter.