General solution for the coupled equations of transversely isotropic magnetoelectroelastic solids

Applied Mathematics and Mechanics (English Edition)

Volumn 24, Issue 7, 2003, Pages 774-781

  Liu, Jin Xi ^a   Wang, Xiang Qin ^a   Wang, Biao ^b  

^a SHIJIAZHUANG TIEDAO UNIVERSITY   (China)

^b HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

General solution; Magnetoelectroelastic solids; Potential function

Indexed keywords

ELASTICITY; ELECTROMAGNETIC FIELDS; MAGNETOELECTRIC EFFECTS; PARTIAL DIFFERENTIAL EQUATIONS; POTENTIAL ENERGY;

GENERAL SOLUTION; MAGNETOELECTROELASTIC SOLIDS; PIEZOMAGNETIC EFFECTS; POTENTIAL FUNCTION;

PIEZOELECTRIC MATERIALS;

EID: 0242522867     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02437809     Document Type: Article

References (18)

1. Avellaneda M, Harshe G. Magnetoelectric effect in piezoelectric/magnetostrictive multilayer (2-2) composite [J]. J Intell Mater Syst Struct, 1994, 5(4): 501-513.
2. Alshits V I, Darinskii A N, Lothe J. On the existence of surface waves in half-infinite anisotropic elastic media with piezoelectric and piezomagnetic properties [J]. Wave Motion, 1992, 16(3): 265-283.
3. Alshits V I, Barnett D M, Darinskii A N, et al. On the existence problem for localized acoustic waves on the interface between two piezocrystals [J]. Wave Motion, 1994, 20(4): 233-244.
4. Alshits V I, Kirchner K O K, Ting T C T. Angularly inhomogeneous piezoelectric piezomagnetic magnetoelectric anisotropic media [J]. Phil Mag Lett, 1995, 71(5): 285-288.
5. Chung M Y, Ting T C T. The Green function for a piezoelectric piezomagnetic magnetoelectric anisotropic elastic medium with an elliptic hole or rigid inclusion [J]. Phil Mag Lett, 1995, 72(6): 405-510.
6. Kirchner H O K, Alshits V I. Elastically anisotropic angularly inhomogeneous media - II: The Green's function for piezoelectric, piezomagnetic and magnetoelectric media [J]. Phil Mag, 1996, 74(4): 861-885.
7. LIU Jin-xi, LIU X L, Zhao Y B. Green's functions for anisotropic magnetoelectroelastic solids with an elliptical cavity or a crack [J]. Int J Engng Sci, 2001, 39(12): 1405-1418.
8. Benvensite Y. Magnetoelectric effect in fibrous composites with piezoelectric and piezomagnetic phases [J]. Phys Rev B, 1994, 51(22): 16424-16427.
9. Huang J H, Kuo W S. The analysis of piezoelectric/piezomagnetic composite materials containing ellipsoidal inclusions [J]. J Appl Phys, 1997, 81(3): 1378-1386.
10. Huang J H, Chiu Y H, Liu H K. Magneto-electro-elastic Eshelby tensors for a piezoelectric-piezomagnetic composite reinforced by ellipsoidal inclusions [J]. J Appl Phys, 1998, 83(10): 5364-5370.
11. Huang J H, Liu H K, Dai W L. The Optimized fiber volume fraction for magnetoelectric coupling effect in piezoelectric-piezomagnetic continuous fiber reinforced composites [J]. Int J Engng Sci, 2000, 38(11): 1207-1217.
12. Li J Y, Dunn M L. Anisotropic coupled-field inclusion and inhomogeneity problems [J]. Phil Mag, 1998, 77(5): 1341-1350.
13. Li J Y. Magnetoelectroelastic multi-inclusion and inhomogeneity problems and their applications in composite materials [J]. Int J Engng Sci, 2000, 38(18): 1993-2011.
14. Fabricant V I. Application of Potential Theory in Mechanics [M]. Dordrecht: Kluwer Academic Publishers, 1989.
15. Wang Z K, Zheng B L. The general solution of three-dimensional problems in piezoelectric media [J]. Int J Solids Struct, 1995, 32(11): 105-115.
16. Podil'Chuk Y N. Representation of the general solution of static equations of the electroelasticity of a transversely isotropic piezoceramic body in terms of harmonic function [J]. Int Appl Mech, 1998, 34(7): 623-628.
17. Chen W Q. On the application of potential theory in piezoelectricity [J]. J Appl Mech, 1996, 66(3): 808-811.
18. Karapetian E, Sevostianov I, Kachanov M. Point force and point electric charge in infinite and semi-infinite transversely isotropic piezoelectric solids [J]. Phil Mag B, 2000, 80(3): 331-359.