Explicit expressions of eigenvalues and eigenvectors for transversely isotropic piezoelectric materials

Acta Mechanica

Volumn 162, Issue 1-4, 2003, Pages 213-219

  Ou, Z C ^a   Chen, Y H ^a  

^a XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CERAMIC MATERIALS; DEFORMATION; EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC POTENTIAL; MATRIX ALGEBRA; STRESSES;

GENERALIZED PLANE DEFORMATION;

PIEZOELECTRIC MATERIALS;

EID: 0037790551     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-002-1010-1     Document Type: Article

References (12)

1. Stroh, A.N.: Dislocations and cracks in anisotropic elasticity. Phil. Mag. 7, 625-646 (1958).
2. Ting, T.C.T.: Explicit solution and invariance of the singularities at an interface crack in anisotropic composites. Int. J. Solids Struct. 22, 965-983 (1986).
3. Suo, Z.: Singularities, interfaces and cracks in dissimilar anisotropic media. Proc. R. Soc. Lond. A427, 331-358 (1990).
4. Deng, W., Meguid, S.A.: Analysis of conducting rigid inclusion at the interface of two dissimilar piezoelectric materials. ASME J. Appl. Mech. 65, 76-84 (1998).
5. Ma, L.F., Chen, Y.H.: Weight functions for interface cracks in dissimilar anisotropic piezoelectric materials. Int. J. Fract. 110, 263-279 (2001).
6. Soh, A.K., Fang, D.N., Lee, K.L.: Fracture analysis of piezoelectric materials with defects using energy density theory. Int. J. Solids Struct. 38, 8331-8344 (2001).
7. Suo, Z., Kuo, C.-M., Barnett, D.M., Willis, J.R.: Fracture mechanics for piezoelectric ceramics. J. Mech. Phys. Solids 40, 739-765 (1992).
8. Park, S., Sun, C.T.: Fracture criteria for piezoelectric ceramics. J. Am. Ceram. Soc. 78, 1475-1480 (1995).
9. Xiao, Z.M., Bai, J., Maeda, R.: Electro-elastic stress analysis on piezoelectric inhomogeneity crack interaction. Int. J. Solids Struct. 38, 1369-1394 (2001).
10. Wang, B.: Three-dimensional analysis of an ellipsoidal inclusion in a piezoelectric material. Int. J. Solids Struct. 29, 293-308 (1992).
11. Dunn, M.L., Taya, M.: Electroelastic field concentrations in and around inhomogeneities in piezoelectric solids. ASME J. Appl. Mech. 61, 474-475 (1994).
12. Shindo, Y., Watanabe, K., Narita, F.: Electroelastic analysis of a piezoelectric ceramic strip with a central crack. Int. J. Engng Sci. 38, 1-19 (2000).