Green's functions for transversely isotropic magnetoelectroelastic media

International Journal of Engineering Science

Volumn 43, Issue 10, 2005, Pages 826-858

  Hou, Peng Fei ^a   Ding, Hao Jiang ^b   Chen, Jiang Ying ^c  

^a HUNAN UNIVERSITY   (China)

^b ZHEJIANG UNIVERSITY   (China)

^c NINGBO UNIVERSITY   (China)

Author keywords

Green's function; Infinite; Magnetoelectroelastic media; Semi infinite; Transversely isotropic; Two phase

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; ERROR ANALYSIS; MAGNETOELECTRIC EFFECTS; MATHEMATICAL OPERATORS;

INFINITE; MAGNETOELECTROELASTIC MEDIA; SEMI-INFINITE; TRANSVERSELY ISOTROPIC; TWO-PHASE;

GREEN'S FUNCTION;

EID: 22944457160     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2004.08.015     Document Type: Article

References (36)

1. W.F. Deeg, The analysis of dislocation, crack, and inclusion problem in piezoelectric solids, Ph.D. Dissertation, Stanford University, 1980.
2. B. Wang Three dimensional analysis of an ellipsoidal inclusion in a piezoelectric material Int. J. Solids Struct. 29 1992 293
3. Y. Benveniste The determination of the elastic and electric fields in a piezoelectric inhomogeneity J. Appl. Phys. 72 1992 1086
4. T.Y. Chen Green's functions and the non-uniform transformation problem in a piezoelectric medium Mech. Res. Commun. 20 1993 271
5. T.Y. Chen, and F.Z. Lin Numerical evaluation of derivatives of the anisotropic piezoelectric Green's functions Mech. Res. Commun. 20 1993 501
6. E. Pan, and F. Tonon Three-dimensional Green's functions in anisotropic piezoelectric solids Int. J. Solids Struct. 37 2000 943
7. E. Pan, and F.G. Yuan Three-dimensional Green's functions in anisotropic piezoelectric bimaterials Int. J. Eng. Sci. 38 2000 1939
8. Z.K. Wang, and G.C. Chen A general solution and the application of space axisymmetric problem in piezoelectric materials App. Math. Mech. 15 1994 615
9. Z.K. Wang, and B.L. Zheng The general solution of three-dimensional problem in piezoelectric media Int. J. Solids Struct. 31 1995 105
10. M.L. Dunn Electroelastic Green's functions for transversely isotropic piezoelectric media and their application to the solution of inclusion and inhomogeneity problems Int. J. Eng. Sci. 32 1994 119
11. M.L. Dunn, and H.A. Wienecke Green's functions for transversely isotropic piezoelectric solids Int. J. Solids Struct. 33 1996 4571
12. M.L. Dunn, and H.A. Wienecke Half-space Green's functions for transversely isotropic piezoelectric solids J. App. Mech. 66 1999 675
13. H.J. Ding, J. Liang, and B. Chen Fundamental solution for transversely isotropic piezoelectric media Sci. China (A) 39 1996 766
14. H.J. Ding, B. Chen, and J. Liang On the Green's functions for two-phase transversely isotropic piezoelectric media Int. J. Solids Struct. 34 1997 3041
15. M.L. Dunn, and H.A. Wienecke Inclusions and inhomogeneities in transversely isotropic piezoelectric solids Int. J. Solids Struct. 34 1997 3571
16. Y.I. Sirotin, and M.P. Shaskolskaya Fundamentals of Crystal Physics 1982 Mir Publishers Moscow
17. J.H. Huang, and W.S. Kuo The analysis of piezoelectric/piezomagnetic composite materials containing an ellipsoidal inclusion J. App. Phys. 81 1997 1378
18. J.Y. Li, and M.L. Dunn Micromechanics of magnetoelectroelastic composite materials: average fields and effective behavior J. Intell. Mater. Syst. Struct. 7 1998 404
19. G. Harshe, J.P. Dougherty, and R.E. Mewnham Theoretical modeling of multilayer magnetoelectric composites Int. J. Appl. Electromagn. Mater. 4 1993 145
20. C.W. Nan Magnetoelectric effect in composites of piezoelectric and piezomagnetic phases Phys. Rev. B B50 1994 6082
21. Y. Benveniste Magnetoelectric effect in fibrous composites with piezoelectric and piezomagnetic phases Phys. Rev. B B51 1995 16424
22. E. Pan Three-dimensional Green's functions in anisotropic magneto-electro-elastic bimaterials Z. Angew. Math. Phys. 53 2002 815
23. X. Wang, and Y.P. Shen The general solution of three-dimensional problems in magnetoelectroelastic media Int. J. Eng. Sci. 40 2002 1069
24. V.I. Alshits, H.O.K. Kirchner, and T.C.T. Ting Angularly inhomogeneous piezoelectric piezomagnetic magnetoelectric anisotropic media Philos. Mag. Lett. 71 1995 285
25. H.O.K. Kirchner, and V.I. Alshits Elastically anisotropic angularly inhomogeneous media II. The Green's function for piezoelectric piezomagnetic and magnetoelectric media Philos. Mag. 74 1996 861
26. J.X. Liu, X.L. Liu, and Y.B. Zhao Green's functions for anisotropic magneto-electro-elastic solids with an elliptical or a crack Int. J. Eng. Sci. 39 2001 1405
27. J.Y. Li, and M.L. Dunn Anisotropic coupled field inclusion and inhomogeneity problem Philos. Mag. 77 1998 1341
28. J.Y. Li Magnetoelectroelastic multi-inclusion and inhomogeneity problems and their applications in composite materials Int. J. Eng. Sci. 38 2000 1993
29. J.H. Huang, Y.H. Chiu, and H.K. Liu Magneto-electro-elastic Eshelby tensors for a piezoelectric-piezomagnetic composite reinforced by ellipsoidal inclusions J. Appl. Phys. 83 1998 5364
30. J.H. Huang, H.K. Liu, and W.L. Dai The optimized fiber volume fraction for magnetoelectric coupling in piezoelectric-piezomagnetic continuous fiber reinforced composites Int. J. Eng. Sci. 38 2000 1207
31. J.H. Huang Analytical prediction for the magnetoelectric coupling in piezomagnetic materials reinforced by piezoelectric ellipsoidal inclusions Phys. Rev. B B58 1998 12
32. T.L. Wu, and J.H. Huang Closed-form solutions for the magnetoelectric coupling coefficients in fibrous composites with piezoelectric and piezomagnetic phase Int. J. Solids Struct. 37 2000 2981
33. D.A. Berlincourt, D.R. Curran, and H. Jaffe Piezoelectric and piezomagnetic materials and their function in transducers Phys. Acoust. 1 1964 169
34. H.J. Ding, B. Chen, and J. Liang General solutions for coupled equations for piezoelectric media Int. J. Solids Struct. 33 1996 2283
35. P.F. Hou, A.Y.T. Leung, and H.J. Ding The elliptical Hertzian contact of transversely isotropic magnetoelectroelastic bodies Int. J. Solids Struct. 40 2003 2833
36. N. Phan-Thien On the image system for Kelvin-state J. Elasticity 13 1983 231