Three-dimensional Green's functions in anisotropic piezoelectric bimaterials

International Journal of Engineering Science

Volumn 38, Issue 17, 2000, Pages 1939-1960

  Pan, E ^a   Yuan, F G ^b  

^a Structures Technology Inc   (United States)

^b North Carolina State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; COMPUTATIONAL METHODS; COMPUTER SIMULATION; ELASTICITY; FOURIER TRANSFORMS; GREEN'S FUNCTION; INTEGRAL EQUATIONS;

MINDLIN SUPERPOSITION METHOD; STROH FORMALISM THEORY;

PIEZOELECTRIC MATERIALS;

EID: 0034322542     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7225(00)00017-3     Document Type: Article

References (18)

1. E. Pan, F.G. Yuan, Three-dimensional Green's functions in anisotropic bimaterials, Int. J. Solids Struct., 2000 (in press).
2. E. Pan, F. Tonon, Three-dimensional Green's functions in anisotropic piezoelectric solids, Int. J. Solids Struct. 37 (2000) 943-958.
3. Barnett D.M., Lothe J. Dislocations and line charges in anisotropic piezoelectric insulators. Phys. Stat. Sol. (B). 67:1975;105-111.
4. Ting T.C.T. Anisotropic Elasticity. 1996;Oxford University Press, Oxford.
5. Pan E. A BEM analysis of fracture mechanics in 2D anisotropic piezoelectric solids. Eng. Anal. with Boundary Elements. 23:1999;67-76.
6. Dunn M.L., Wienecke H.A. Green's functions for transversely isotropic piezoelectric solids. Int. J. Solids Struct. 33:1996;4571-4581.
7. Dunn M.L., Wienecke H.A. Half-space Green's functions for transversely isotropic piezoelectric solids. J. Appl. Mech. 66:1999;675-679.
8. Ding H.J., Chen B., Liang J. On the general solutions for coupled equation for piezoelectric media. Int. J. Solids Struct. 33:1996;2283-2298.
9. Ding H.J., Chen B., Liang J. On the Green's functions for two-phase transversely isotropic piezoelectric media. Int. J. Solids Struct. 34:1997;3041-3057.
10. Ding H.J., Chi Y., Guo F. Solutions for transversely isotropic piezoelectric infinite body, semi-finite body and bimaterial infinite body subjected to uniform ring loading and charge. Int. J. Solids Struct. 36:1999;2613-2631.
11. Barnett D.M. The precise evaluation of derivatives of the anisotropic elastic Green's functions. Phys. Stat. Sol. B. 49:1972;741-748.
12. Chen T. Green's functions and the non-uniform transformation problem in a piezoelectric medium. Mech. Res. Comm. 20:1993;271-278.
13. Chen T., Lin F.Z. Numerical evaluation of derivatives of the anisotropic piezoelectric Green's functions. Mech. Res. Comm. 20:1993;501-506.
14. Mindlin R.D. Force at a point in the interior of a semi-infinite solid. Physics. 7:1936;195-202.
15. Tiersten H.F. Linear Piezoelectric Plate Vibrations. 1969;Plenum, New York.
16. Suo Z., Kuo C.M., Barnett D.M., Willis J.R. Fracture mechanics for piezoelectric ceramics. J. Mech. Phys. Solids. 40:1992;739-765.
17. Barnett D.M., Lothe J. Line force loadings on anisotropic half spaces and wedges. Physica Norvegica. 8(1):1975;13-22.
18. Dunn M.L., Taya M. An analysis of piezoelectric composite materials containing ellipsoidal inhomogeneities. Proc. R. Soc. Lond. A. 443:1993;265-287.