Fracture behaviors of piezoelectric materials

Theoretical and Applied Fracture Mechanics

Volumn 41, Issue 1-3, 2004, Pages 339-379

  Zhang, T Y ^a   Gao, C F ^a  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

Crack; Experimental observation; Piezoelectric materials; Theoretical analysis

Indexed keywords

CERAMIC MATERIALS; CRACKS; ELECTRIC FIELD EFFECTS; ELECTRIC LOADS; FRACTURE TESTING; LEAD COMPOUNDS; PIEZOELECTRIC MATERIALS;

CONDUCTING CRACKS; MECHANICAL LOADING;

FRACTURE MECHANICS;

FRACTURE MECHANICS; PIEZOELECTRICITY;

EID: 1842523273     PISSN: 01678442     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tafmec.2003.11.019     Document Type: Article

References (112)

1. Setter N. Waser R. Electroceramics materials Acta Mater. 48 2000 151-178
2. Zhang T.Y. Zhao M.H. Tong P. Fracture of piezoelectric ceramics Adv. Appl. Mech. 38 2002 148-289
3. Kamlah M. Ferroelectric and ferroelastic piezoceramics: modeling of electromechanical hysteresis phenomena Continuum Mech. Thermodyn. 13 2001 219-268
4. Hall D.A. Nonlinearity in piezoelectric ceramics J. Mater. Sci. 36 2001 4575-4601
5. Sih G.C. Zuo J.Z. Multiscale behavior of crack initiation and growth in piezoelectric ceramics Theor. Appl. Fract. Mech. 34 2000 123-141
6. Ru C.Q. Mao S.X. Effect of microcracking on electric-field-induced stress intensity factors in dielectric ceramics Philos. Mag. 83 2003 277-294
7. Li X.F. Electroelastic analysis of an internal interface crack in a half-plane consisting of two bonded dissimilar piezoelectric quarter-planes Mechanica 38 2003 309-323
8. Liu M. Hsia K.J. Interfacial cracks between piezoelectric and elastic materials under in-plane electric loading J. Mech. Phys. Solids 51 2003 921-944
9. Michelitsch T.M. Gao H.J. Levin V.M. Dynamic Eshelby tensor and potentials for ellipsoidal inclusions Proc. Roy. Soc. Lond. A 459 2002 863-890
10. Filshtinskii L.A. Filshtinskii M.L. Green function for a composite piezoceramic plane with an interfacial crack Prikl. Mat. Mekh. 58 1994 159-166 (in Russian)
11. Wu X.F. Cohn S. Dzenis Y.A. Screw dislocation interacting with interfacial and interface cracks in piezoelectric bimaterials Int. J. Eng. Sci. 41 2003 667-682
12. Wang B.L. Mai Y.W. Thermal shock fracture of piezoelectric materials Philos. Mag. A 83 2003 631-657
13. Li C.Y. Weng G.J. Yoffe-type moving crack in a functionally graded piezoelectric material Proc. Roy. Soc. Lond. A 458 2002 381-399
14. Zuo J.Z. Sih G.C. Energy density theory formulation and interpretation of cracking behavior for piezoelectric ceramics Theor. Appl. Fract. Mech. 34 2000 17-33
15. Lin S. Narita F. Shindo Y. Comparison of energy release rate and energy density criteria for a piezoelectric layered composite with a crack normal to interface Theor. Appl. Fract. Mech. 39 2003 229-243
16. Parton V.Z. Kudryavtsev B.A. Electromagnetoelasticity 1988 Gordon and Breach Science Publishers
17. Ricoeur A. Kuna M. Influence of electric fields on the fracture of ferroelectric ceramics J. Eur. Ceram. Soc. 23 2003 1313-1328
18. Beom H.G. Atluri S.N. Effect of electric fields on fracture behavior of ferroelectric ceramics J. Mech. Phys. Solids 51 2003 1107-1125
19. Kessler H. Balke H. On the local and average energy release in polarization switching phenomena J. Mech. Phys. Solids 49 2001 953-978
20. Li S. On global energy release rate of a permeable crack in a piezoelectric ceramic J. Appl. Mech. 70 2003 246-252
21. Guiu F. Alguero M. Reece M.J. Crack extension force and rate of mechanical work of fracture in linear dielectrics and piezoelectrics Philos. Mag. A 83 2003 873-888
22. McMeeking R.M. The energy release rate for a Griffith crack in a piezoelectric material Eng. Fract. Mech. 71 2004 1169-1183
23. Hwang S.C. Lynch C.S. McMeeking R.M. Ferroelectric/ferroelastic interactions and a polarization switching model Acta Metall. Mater. 43 1995 2073-2084
24. Reece M.J. Guiu F. Toughening Produced by crack-tip-stress-induced domain reorientation in ferroelectric and/or ferroelastic materials Philos. Mag. A 82 2002 29-38
25. Gao H. Zhang T.Y. Tong P. Local and global energy release rates for an electrically yield crack in piezoelectric ceramics J. Mech. Phys. Solids 45 1997 491-510
26. Ting T.C.T. Anisotropic Elasticity: Theory and Applications 1996 Oxford Science Publications New York
27. Barnett D.M. Lothe J. Dislocations and line charges in anisotropic piezoelectric insulators Phys. Status Solidi (b) 67 1975 105-111
28. Wang M.Z. Ting T.C.T. Yan G.P. The anisotropic elastic semi-infinite strip Q. Appl. Math. 51 1993 283-297
29. Häusler C. Balke H. An interface crack between a piezoelectric medium and an electric conductor Haupt P. Kersten T. Ulbricht V. Contributions to modeling and identification 2001 Gesamthochschule Kassel (in German)
30. Zhang T.Y. Tong P. Fracture mechanics for a mode III crack in a piezoelectric material Int. J. Solids Struct. 33 1996 343-359
31. Zhang T.Y. Qian C.F. Tong P. Linear electro-elastic analysis of a cavity or a crack in a piezoelectric material Int. J. Solids Struct. 35 1998 2121-2149
32. Cherepanov G.P. Mechanics of Brittle Fracture 1974 Nauka Moscow (in Russian) English translation: McGraw-Hill, 1979
33. Pak Y.E. Crack extension force in a piezoelectric material Trans. ASME, J. Appl. Mech. 57 1990 647-653
34. Gao C.F. Further study of the generalized 2D problem of an elliptical hole or a crack in piezoelectric media Mech. Res. Commun. 27 2000 429-434
35. Muskhelishvili N.I. Some Basic Problems of the Mathematical Theory of Elasticity 1953 Noordhoff Groningen Translated by J.R.M. Radok
36. Gao C.F. Zhao Y.T. Wang M.Z. An exact and explicit treatment of an elliptic hole problem in thermopiezoelectric media Int. J. Solids Struct. 39 2002 2665-2685
37. Gao C.F. Balke H. Fracture analysis of circular-arc interface cracks in piezoelectric materials Int. J. Solids Struct. 40 2003 3507-3522
38. Hao T.H. Shen Z.Y. A new electric boundary condition of electric fracture mechanics and its application Eng. Fract. Mech. 47 1994 793-802
39. Schneider G.A. Felten F. McMeeking R.M. The electrical potential difference across cracks in PZT measured by Kelvin probe microscopy and the implications for fracture Acta Mater. 51 2003 2235-2241
40. McMeeking R.M. Towards a fracture mechanics for brittle piezoelectric and dielectric materials Int. J. Fract. 108 2001 25-41
41. Dissado L.A. Fothergill J.C. Electrical Degradation and Breakdown in Polymers 1992 Peter Peregrinus Ltd. London
42. Majumdar B.S. Burns S.J. Griffith crack shielded by a dislocation pile-up Int. J. Fract. 21 1983 229-240
43. McMeeking R.M. Evans A.G. Mechanics in transformation-toughening in brittle materials J. Am. Ceram. Soc. 65 1982 242-246
44. Arlt G. Pertsev N.A. Force constant and effective mass of 90° domain walls in ferroelectric ceramics J. Appl. Phys. 70 1991 2283-2289
45. Yang W. Zhu T. Switch-toughening of ferroelectrics subjected to electric fields J. Mech. Phys. Solids 46 1998 291-311
46. McMeeking R.M. Hwang S.C. On the potential energy of a piezoelectric inclusion and the criterion for ferroelectric switching Ferroelectrics 200 1997 151-173
47. Lynch C.S. Yang W. Collier L. Suo Z. McMeeking R.M. Electric field induced cracking in ferroelectric ceramics Ferroelectrics 166 1995 11-30
48. Yang W. Zhu T. Fracture and fatigue of ferroelectrics under electric and mechanical loading Fatig. Fract. Eng. Mater. Struct. 21 1998 1361-1369
49. Zhu T. Yang W. Fatigue crack growth in ferroelectrics driven by cyclic electric loading J. Mech. Phys. Solids 47 1999 81-97
50. Jiang Q. Subbarao E.C. Cross L.E. Effect of composition and temperature on electric fatigue of La-doped lead zirconate titanate ceramics J. Appl. Phys. 75 1994 7433-7443
51. Jiang Q. Subbarao E.C. Cross L.E. Grain size dependence of electric fatigue behavior of hot pressed PLZT ferroelectric ceramics Acta Metall. Mater. 42 1994 3687-3694
52. Zhang Y. Jiang Q. Twinning-induced stress and electric field concentrations in ferroelectric ceramics J. Am. Ceram. Soc. 78 1995 3290-3296
53. Huber J.E. Fleck N.A. Landis C.M. McMeeking R.M. A constitutive model for ferroelectric polycrystals J. Mech. Phys. Solids 47 1999 1663-1697
54. Hill R. A self-consistent mechanics of composite materials J. Mech. Phys. Solids 13 1965 213-222
55. Hill R. Continue micro-mechanics of elastoplastic polycrystals J. Mech. Phys. Solids 13 1965 89-101
56. Hutchinson J.W. Elastic-plastic behavior of polycrystalline metals and composites Proc. Roy. Soc. Lond. A 319 1970 247-272
57. Hwang S.C. McMeeking R.M. A finite element model of ferroelectric polycrystals Ferroelectrics 211 1998 177-194
58. Hwang S.C. McMeeking R.M. A finite element model of ferroelastic polycrystals Int. J. Solids Struct. 36 1999 1541-1556
59. Michelitsch T. Kreher W.S. A simple model for the nonlinear material behavior of ferroelectrics Acta Mater. 46 1998 5085-5094
60. Lu W. Fang D.N. Hwang K.C. Micromechanics of ferroelectric domain switching behavior Part I: Coupled electromechanical field of domain inclusions Theor. Appl. Fract. Mech. 37 2001 29-38
61. Lu W. Fang D.N. Hwang K.C. Micromechanics of ferroelectric domain switching behavior Part II: Constitutive relations and hysteresis Theor. Appl. Fract. Mech. 37 2001 39-47
62. Landis C.M. On the fracture toughness of ferroelastic materials J. Mech. Phys. Solids 51 2003 1347-1369
63. Zhu T. Yang W. Toughness variation of ferroelectrics by polarization switch under non-uniform electric field Acta Mater. 45 1997 4695-4702
64. Rajapakse R.K.N.D. Zeng X. Toughening of conducting cracks due to domain switching Acta Mater. 49 2001 877-885
65. Han X.L. Li X.J. Mao S.X. Toughening and weakening in ferroelectric ceramics by domain-switching process under mixed electric and mechanical loading Metall. Mater. Trans. A 33 2002 2835-2845
66. J. Wang, S.Q. Shi, L.Q. Chen, Y. Li, T.Y. Zhang, Phase field simulations of ferroelectric and ferroelastic polarization switching, Acta Mater., in press
67. Herbiet R. Robels U. Dederichs H. Arlt A. Domain wall and volume contributions to material properties of PZT ceramics Ferroelectrics 98 1989 107-121
68. Pertsev N.A. Arlt G. Forced translational vibrations 90° domain walls and the dielectric dispersion in ferroelectric ceramics J. Appl. Phys. 74 1993 4105-4112
69. Fu R. Zhang T.Y. Influence of temperature and electric field on the bending strength of lead zirconate titanate ceramics Acta Mater. 48 2000 1729-1740
70. Arlt G. Dederichs H. Herbiet R. 90° domain wall relaxation in tetragonally distorted ferroelectric ceramics Ferroelectrics 74 1987 37-53
71. Ricinschi D. Harnagea C. Papusoi C. Mitoseriu L. Tura V. Okuyama M. Analysis of ferroelectric switching in finite media as a Landau-type phase transition J. Phys.-Condens. Matter 10 1998 477-492
72. Chen L.Q. Wolverton C. Vaithyanathan V. Liu Z.K. Modeling solid-state phase transformation and microstructure evolution MRS Bull. 2001 197-202
73. Tobin A.G. Pak Y.E. Effect of electric fields on fracture behavior of PZT ceramics Proc. SPIE--Int. Soc. Opt. Eng. 1916 1993 78-86
74. Wang H.Y. Singh R.N. Crack propagation in piezoelectric ceramics: effects of applied electric fields J. Appl. Phys. 81 1997 7471-7479
75. Sun C.T. Park S.B. Measuring fracture toughness of piezoelectrics by Vickers indentation under the influence of electric fields Ferroelectrics 248 2000 79-95
76. Jiang L.Z. Sun C.T. Analysis of indentation cracking in piezoelectrics Int. J. Solids Struct. 38 2001 1903-1918
77. Lynch C.S. Fracture of ferroelectric and relaxor electro-ceramics: influence of electric field Acta Mater. 46 1998 599-608
78. Fu R. Zhang T.Y. Effect of an applied electric field on the fracture toughness of lead zirconate titanate ceramics J. Am. Ceram. Soc. 83 2000 1215-1218
79. 3 J. Eur. Ceram. Soc. 19 1999 1299-1306
80. Park S.B. Sun C.T. Fracture criteria for piezoelectric ceramics J. Am. Ceram. Soc. 78 1995 1475-1480
81. Fu R. Zhang T.Y. Effects of an applied electric field on the modulus of rupture of poled Lead Zirconate Titanate ceramics J. Am. Ceram. Soc. 81 1998 1058-1060
82. Shindo Y. Murakami H. Horiguchi K. Narita F. Evaluation of electric fracture properties of piezoelectric ceramics using the finite element and single-edge precracked-beam methods J. Am. Ceram. Soc. 85 2002 1243-1248
83. Zhoga L.V. Shpeizman V.V. Failure of ferroelectric ceramics in electric and mechanical fields Sov. Phys. Solid State 34 1992 2578-2583
84. Makino H. Kamiya N. Effect of dc electric field on mechanical properties of piezoelectric ceramics Jpn. J. Appl. Phys. 33 1994 5323-5327
85. R. Fu, T.Y. Zhang, Statistical studies of the modulus of rupture of poled PZT-841 ceramics under combined mechanical-electric loadings, In: Fifth International conference on the Fundamentals of Fracture, NIST, USA, 1997, pp. 130-131
86. Heyer V. Schneider G.A. Balker H. Drescher J. Bahr H.A. A fracture criterion for conducting cracks in homogeneously poled piezoelectric PZT-PIC 151 ceramics Acta Mater. 46 1998 6615-6622
87. Wang T.H. Zhang T.Y. Electrical fracture toughness for electrically conductive deep notches driven by electric fields in depoled lead zirconate titanate ceramics Appl. Phys. Lett. 79 2001 4198-4200
88. Fu R. Qian C.F. Zhang T.Y. Electrical fracture toughness for conductive cracks driven by electric fields in piezoelectric materials Appl. Phys. Lett. 76 2000 126-128
89. Freiman S.W. White G.S. Intelligent ceramic materials-issues of brittle-fracture J. Intell. Mater. Syst. Struct. 6 1995 49-54
90. Zhang T.Y. Wang T.H. Zhao M.H. Failure behavior and failure criterion of conductive cracks (deep notches) in thermally depoled PZT-4 ceramics Acta Mater. 51 2003 4881-4895
91. Wang Y. Chu W.Y. Su Y.J. Qiao L.J. Stress corrosion cracking of PZT piezoelectric ceramics Mater. Lett. 57 2003 1156-1159
92. Wang Y. Chu W.Y. Su Y.J. Qiao L.J. Anisotropy of stress corrosion cracking of piezoelectric ceramics Matter. Sci. Eng. B 95 2002 263-267
93. Wang Y. Chu W.Y. Qiao L.J. Su Y.J. Hydrogen-induced delayed fracture of PZT ceramics during dynamic charging under constant load Matter. Sci. Eng. B 98 2003 1-5
94. dos Santos e Lucato S.L. Lupascu D.C. Rödel J. Effect of poling direction on R-curve behavior in lead zirconate titanate J. Am. Ceram. Soc. 83 2000 424-426
95. 3 and PZT ceramics under the influence of an electric field applied parallel to the crack front Acta Mater. 48 2000 4099-4113
96. Wang Y. Chu W.Y. Gao K.W. Su Y.J. Qiao L.J. Delayed fracture of lead zirconate titanate ferroelectric ceramics under sustained electric field Appl. Phys. Lett. 82 2003 1583-1586
97. Liu B. Fang D.N. Hwang K.C. Electric-field-induced fatigue crack growth in ferroelectric ceramics Mater. Lett. 54 2002 442-446
98. Tan X.L. Shang J.K. In-situ transmission electron microscopy study of electric field-induced grain-boundary cracking in lead zirconate titanate Philos. Mag. A 82 2002 1463-1478
99. dos Santos e Lucato S.L. Bahr H.A. Pham V.B. Lupascu D.C. Balke H. Rödel J. Bahr U. Crack deflection in piezoelectric ceramics J. Eur. Ceram. Soc. 23 2003 1147-1156
100. dos Santos e Lucato S.L. Bahr H.A. Pham V.B. Lupascu D.C. Balke H. Rödel J. Bahr U. Electrically driven cracks in piezoelectric ceramics: experiments and fracture mechanics analysis J. Mech. Phys. Solids 50 2002 2333-2353
101. Zeller H.R. Schneider W.R. Electrofracture mechanics of dielectric aging J. Appl. Phys. 56 1984 455-459
102. Ohr S.M. An electron microscope study of crack tip deformation and its impact on the dislocation theory of fracture Mater. Sci. Eng. 72 1985 1-35
103. Chang S.J. Ohr S.M. Dislocation-free zone model of fracture J. Appl. Phys. 52 1981 7174-7181
104. Dai S.H. Li J.C.M. Dislocation-free zone at the crack tip Scr. Metall. 16 1982 183-188
105. Weertman J. Lin I.H. Thomson R. Double slip plane crack model Acta Metall. 31 1983 473-482
106. Lin I.H. Thomson R. Cleavage, dislocation emission and shielding for cracks under general loading Acta Metall. 34 1985 187-206
107. Rice J.R. Hawk D.E. Asaro R.J. Crack tip fields in ductile crystals Int. J. Fract. 42 1990 301-321
108. Zielinski W. Lii M.J. Huang H. Marsh P.G. Gerberich W.W. Crack-tip dislocation emission arrangements for equilibrium, 1: In-situ TEM observations of Fe-2Wt-percent-Si Acta Metall. Mater. 40 1992 2861-2871
109. Huang H. Gerberich W.W. Quasi-equilibrium modeling of the toughness transition during semibrittle cleavage Acta Metall. Mater. 42 1994 639-647
110. 3 thin-film capacitors. 1 Jpn. J. Appl. Phys. 34 1995 5664-5673
111. Fowler R.H. Nordheim L. Electron emission in intense electric fields Proc. Roy. Soc. Lond. A 1928 1928 173-181
112. Eshelby J.D. The continuum theory of lattice defects Solid State Phys. 3 1956 79-144