Three-dimensional piezoelectric boundary element analysis of transversely isotropic half-space

Computational Mechanics

Volumn 32, Issue 1-2, 2003, Pages 29-39

  Liew, K M ^a,b   Liang, J ^a,c  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^c WILLIAM BEAUMONT HOSPITAL   (United States)

Author keywords

Boundary element method; Half space problem; Piezoelectricity; Three dimensional analysis

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; PIEZOELECTRICITY; STRESSES;

HALF SPACE PROBLEM; THREE DIMENSIONAL ANALYSIS;

BOUNDARY ELEMENT METHOD;

EID: 0242489458     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-003-0456-x     Document Type: Article

References (26)

1. ANSYS Manual/Document (Version 5.7), ANSYS, Inc. USA
2. Beer G, Watson JO (1989) Infinite boundary elements. Int. J. Numer. Meth. Eng. 28: 1233-1247
3. Brebbia CA, Telles JCF, Wrobel LC (1984) Boundary Element Techniques. Springer-Verlag, New York
4. Chen WQ, Shioya T, Ding HJ (1999) The elasto-electric field for a rigid conical punch on a transversely isotropic piezoelectric half-space. J. Appl. Mech. 66: 764-771
5. Chen T, Lin FZ (1995) Boundary integral formulations for three-dimensional anisotropic piezoelectric solids. Comput. Mech. 15: 485-496
6. Ding HJ, Liang J (1999) The fundamental solutions for transversely isotropic piezoelectricity and boundary element method. Comput. Struct. 71: 447-455
7. Ding HJ, Chen B, Liang J (1997) On the Green's functions for two-phase transversely isotropic piezoelectric media. Int. J. Solids Struct. 34: 3041-3057
8. Ding HJ, Chen B, Liang J (1996) On the general solutions for coupled equation for piezoelectric media. Int. J. Solids Struct. 33: 2283-2298
9. Dunn ML, Wienecke HA (1996) Green's functions for transversely isotropic piezoelectric solids. Int. J. Solids Struct. 33: 4571-4581
10. Dunn ML, Wienecke HA (1999) Half-space Green's functions for transversely isotropic piezoelectric solids. J. Appl. Mech. 66: 675-679
11. Fabrikant VI (1989) Applications of Potential Theory in Mechanics: A Selection of New Results. Kluwer Academic Publishers, The Netherlands, pp. 71-79
12. Giannakopoulos AE (2000) Strength analysis of spherical indentation of piezoelectric materials. J. Appl. Mech. 67: 409-416
13. Hanson MT, Puja IW (1996) Love's circular patch problem revisited: closed form solutions for transversely isotropy and shear loading. Quart. J. Appl. Math. LIV: 359-384
14. Liang J, Liew KM (2001) Boundary elements for half-space problems via fundamental solutions: A three-dimensional analysis. Int. J. Numer. Meth. Eng. 52: 1189-1202
15. Liew KM, Liang J, Ding HJ, Lu C (2001) Elastic fields in two-jointed half-spaces subject to point force and uniform ring loads. Comput. Meth. Appl. Mech. Eng. 190: 3749-3769
16. Liew KM, Liang J (2002) Modeling of 3D transversely piezoelectric and elastic bimaterials using the boundary element method. Comput. Mech. 29: 151-162
17. Liu M, Farris TN (1993) Three-dimensional infinite boundary elements for contact problems. Int. J. Numer. Meth. Eng. 36: 3381-3398
18. Mindlin RD (1936) Force at a point in the interior of a semi-infinite solid. Physics 7: 195-202
19. Pan E (1999) A BEM analysis of fracture mechanics in 2-D anisotropic piezoelectric solids. Eng. Anal. Bound. Elem. 23: 67-76
20. Pan E, Tonon F (2000) Three-dimensional Green's function in anisotropic piezoelectric solids. Int. J. Solids Struct. 37: 943-958
21. Pan E, Yuan FG (2000) Three-dimensional Green's functions in anisotropic piezoelectric bimaterials. Int. J. Eng. Sci. 38: 1939-1960
22. Pan YC, Chou TW (1979) Green's function solutions for semi-infinite transversely isotropic materials. Int. J. Eng. Sci. 17: 545-551
23. Wang Z, Zheng B (1995) The general solution of three-dimensional problems in piezoelectric media. Int. J. Solids Struct. 32: 105-115
24. Watson JO (1979) Advanced implementation of the boundary element method for two and the three-dimensional elastostatics. In: Banerjee OK, Butterfield R (eds), Development in Boundary Element Methods 1, Applied Science Publishers, London, pp. 31-63
25. Zhao MH, Shen YP, Liu GN, Liu YJ, Liu Y (1999) Crack analysis in semi-infinite transversely isotropic piezoelectric solid. I. Green's functions. Theo. Appl. Fract. Mech. 32: 223-232
26. Zhao MH, Shen YP Liu GN, Liu YJ (1999) Crack analysis in semi-infinite transversely isotropic piezoelectric solid. II. Penny-shaped crack near the surface. Theo. Appl. Fract. Mech. 32: 233-240