Damage analysis of thermopiezoelectric properties: Part I - Crack tip singularities

Theoretical and Applied Fracture Mechanics

Volumn 25, Issue 3, 1996, Pages 263-277

  Yu, S W ^a   Qin, Q H ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DISSIMILAR MATERIALS; ELECTRIC FIELD EFFECTS; ELECTRIC FIELDS; FAILURE (MECHANICAL); FOURIER TRANSFORMS; INTEGRAL EQUATIONS; INTERFACES (MATERIALS); INVERSE PROBLEMS; MICROCRACKS; PIEZOELECTRIC MATERIALS; THERMAL EFFECTS;

CRACK TIP SINGULARITY; DAMAGE ANALYSIS; ENERGY RELEASE RATE; THERMOPIEZOELECTRIC PROPERTIES;

FRACTURE MECHANICS;

EID: 0030286948     PISSN: 01678442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8442(96)00026-2     Document Type: Article

References (17)

1. D.M. Barnett and J. Lothe, Dislocations and line charges in anisotropic piezoelectric insulators, Phys. Stat. Sol. (b) 67, 105-111 (1975).
2. W.F. Deeg, The analysis of dislocation, crack, and inclusion problems in piezo-electric solids, Ph.D. Dissertation, Stanford University (1980).
3. S.A. Zhou, R.H.T. Hsieh and G.A. Maugin, Electric and elastic multiple defects in finite piezoelectric media, Int. J. Solids Struct. 22, 1411-1422 (1986).
4. H. Sosa and Y.E. Pak, Three-dimensional eigenfunction analysis of a crack in a piezoelectric material, Int. J. Solids Struct. 26, 1-15 (1990).
5. H. Sosa, Plane problems in piezoelectric media with defects, Int. J. Solids Struct. 28, 491-505 (1991).
6. B. Wang, Three dimensional analysis of an ellipsoidal inclusion in a piezoelectric material, Int. J. Solids. Struct. 29, 293-308 (1992).
7. J.D. Eshelby, The determination of the elastic field of an ellipsoidal inclusion, and related problems, Proc. R. Soc. Lond. A 241, 376-396 (1957).
8. M.L. Dunn, The effects of crack face boundary conditions on the fracture mechanics of piezoelectric solids, Eng. Frac. Mech. 48, 25-39 (1994).
9. Q.H. Qin and S.W. Yu, An arbitrarily-oriented plane crack terminating at the interface between dissimilar piezoelectric materials, Int. J. Solids Struct., in press.
10. R.D. Mindlin, Equations of high frequency vibrations of thermopizoelectric crystal plates, Int. J. Solids Struct. 10, 625-637 (1974).
11. J. Qu and J.L. Bassani, Cracks on bimaterial and bicrystal interfaces, J. Mech. Phys. Solids 37(4), 417-433 (1989).
12. T.C.T. Ting and G. Yan, The singularity at interface cracks in anisotropic bimaterials due to heat flow, J. Thermal Stresses 15, 85-99 (1992).
13. Z. Suo, C.M. Kuo, D.M. Barnett and J.R. Willis, Fracture mechanics for piezo-electric ceramics, J. Mech. Phys. Solids 40(4), 739-765 (1992).
14. Q.H. Qin and S.W. Yu, On the logarithmic singularity at crack tips in piezoelectric media, Chin. Sci. Bull 41(2), 563-566 (1996).
15. C.H. Wu, Plane anisotropic thermoelasticity, J. Appl. Mech. 51, 724-726 (1984).
16. I.N. Sneddon, Fourier Transforms (McGraw-Hill Book Company, Inc., 1951).
17. J.L. Bassani and J. Qu, Finite crack on bimaterial and bicrystal interfaces, J. Mech. Phys. Solids 37, 435-453 (1989).