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Volumn 77, Issue 2, 2010, Pages 309-326

Fracture mechanics of piezoelectric materials - Where are we right now?

Author keywords

Crack tip parameters; Domain switching; Electromechanical loading; Ferroelectric domains; Fracture criteria; Linear and non linear piezoelectric fracture mechanics

Indexed keywords

DOMAIN SWITCHINGS; ELECTROMECHANICAL LOADING; FERROELECTRIC DOMAINS; FRACTURE CRITERIA; NON-LINEAR; PIEZOELECTRIC FRACTURE MECHANICS;

EID: 73449091513     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2009.03.016     Document Type: Article
Times cited : (226)

References (100)
  • 2
    • 79953325253 scopus 로고    scopus 로고
    • Mechanics and reliability of actuating materials
    • Dordrecht: Springer;
    • Yang W. Mechanics and reliability of actuating materials. In: Proceedings of IUTAM-Symposium Beijing 2004. Dordrecht: Springer; 2006.
    • (2004) Proceedings of IUTAM-Symposium Beijing
    • Yang, W.1
  • 3
    • 0024874469 scopus 로고
    • Designing co-fired multi-layer electrostrictive actuators for reliability
    • Winzer S.R., Shankar N., and Ritter A.P. Designing co-fired multi-layer electrostrictive actuators for reliability. J Am Ceram Soc 72 (1989) 2246-2257
    • (1989) J Am Ceram Soc , vol.72 , pp. 2246-2257
    • Winzer, S.R.1    Shankar, N.2    Ritter, A.P.3
  • 4
    • 0000090509 scopus 로고    scopus 로고
    • Materials issues in design and performance of piezoelectric actuators: an overview
    • Uchino K. Materials issues in design and performance of piezoelectric actuators: an overview. Acta Mater 48 (1998) 3745-3753
    • (1998) Acta Mater , vol.48 , pp. 3745-3753
    • Uchino, K.1
  • 5
    • 0025399625 scopus 로고
    • Fracture mechanisms in ferroelectric-ferroelastic lead zirconate titanate (Zr:Ti = 0.54:0.46) ceramics
    • Mehta K., and Virkar A.V. Fracture mechanisms in ferroelectric-ferroelastic lead zirconate titanate (Zr:Ti = 0.54:0.46) ceramics. J Am Ceram Soc 73 (1990) 567-574
    • (1990) J Am Ceram Soc , vol.73 , pp. 567-574
    • Mehta, K.1    Virkar, A.V.2
  • 7
    • 0028478885 scopus 로고
    • Electric-field-induced fatigue crack growth in piezoelectrics
    • Cao H.C., and Evans A.G. Electric-field-induced fatigue crack growth in piezoelectrics. J Am Ceram Soc 77 (1994) 1783-1786
    • (1994) J Am Ceram Soc , vol.77 , pp. 1783-1786
    • Cao, H.C.1    Evans, A.G.2
  • 8
    • 0033743017 scopus 로고    scopus 로고
    • Effect of poling direction on R-curve behavior in lead zirconate titanate
    • dos Santos e Lucato S.L., Lupascu D.C., and Rödel J. Effect of poling direction on R-curve behavior in lead zirconate titanate. J Am Ceram Soc 83 (2000) 424-426
    • (2000) J Am Ceram Soc , vol.83 , pp. 424-426
    • dos Santos e Lucato, S.L.1    Lupascu, D.C.2    Rödel, J.3
  • 9
    • 0029326958 scopus 로고
    • Fracture criteria for piezoelectric ceramics
    • Park S.B., and Sun C.T. Fracture criteria for piezoelectric ceramics. J Am Ceram Soc 78 (1995) 1475-1480
    • (1995) J Am Ceram Soc , vol.78 , pp. 1475-1480
    • Park, S.B.1    Sun, C.T.2
  • 10
    • 0033746647 scopus 로고    scopus 로고
    • Effects of an electric field on the facture toughness of poled lead zirconate titanate ceramics
    • Fu R., and Zhang T.Y. Effects of an electric field on the facture toughness of poled lead zirconate titanate ceramics. J Am Ceram Soc 83 (2000) 1215-1218
    • (2000) J Am Ceram Soc , vol.83 , pp. 1215-1218
    • Fu, R.1    Zhang, T.Y.2
  • 11
    • 0347866241 scopus 로고    scopus 로고
    • Crack propagation in piezoelectric ceramics: effect of applied electric fields
    • Wang H., and Singh R.N. Crack propagation in piezoelectric ceramics: effect of applied electric fields. J Appl Phys 81 (1997) 7471-7479
    • (1997) J Appl Phys , vol.81 , pp. 7471-7479
    • Wang, H.1    Singh, R.N.2
  • 12
    • 0032204031 scopus 로고    scopus 로고
    • A fracture criterion for conducting cracks in homogeneously poled piezoelectric PZT-PIC151 ceramics
    • Heyer V., Schneider G.A., Balke H., Drescher J., and Bahr H.A. A fracture criterion for conducting cracks in homogeneously poled piezoelectric PZT-PIC151 ceramics. Acta Mater 46 (1998) 6615-6622
    • (1998) Acta Mater , vol.46 , pp. 6615-6622
    • Heyer, V.1    Schneider, G.A.2    Balke, H.3    Drescher, J.4    Bahr, H.A.5
  • 13
    • 1842502631 scopus 로고    scopus 로고
    • Failure behavior and failure criterion of conductive cracks (deep notches) in piezoelectric ceramics. I. The charge free zone model. II. Experimental verification
    • Zhang T.Y., Zhao M., and Guoning L. Failure behavior and failure criterion of conductive cracks (deep notches) in piezoelectric ceramics. I. The charge free zone model. II. Experimental verification. Acta Mater 52 (2004) 2013-2035
    • (2004) Acta Mater , vol.52 , pp. 2013-2035
    • Zhang, T.Y.1    Zhao, M.2    Guoning, L.3
  • 14
    • 0032484316 scopus 로고    scopus 로고
    • Fracture of ferroelectric and relaxor electro-ceramics
    • Lynch C.S. Fracture of ferroelectric and relaxor electro-ceramics. Acta Mater 46 (1998) 599-608
    • (1998) Acta Mater , vol.46 , pp. 599-608
    • Lynch, C.S.1
  • 16
    • 34848826528 scopus 로고    scopus 로고
    • Influence of electric field and mechanical stresses on the fracture of ferroelectrics
    • Schneider G.A. Influence of electric field and mechanical stresses on the fracture of ferroelectrics. Annu Rev Mater Res 37 (2007) 491-538
    • (2007) Annu Rev Mater Res , vol.37 , pp. 491-538
    • Schneider, G.A.1
  • 17
    • 0016994462 scopus 로고
    • Fracture mechanics of piezoelectric materials
    • Parton V.Z. Fracture mechanics of piezoelectric materials. Acta Astron 3 (1976) 671-683
    • (1976) Acta Astron , vol.3 , pp. 671-683
    • Parton, V.Z.1
  • 19
    • 0025601329 scopus 로고
    • Three-dimensional eigenfunction analysis of a crack in a piezoelectric material
    • Sosa H., and Pak Y.E. Three-dimensional eigenfunction analysis of a crack in a piezoelectric material. Int J Solid Struct 26 (1990) 1-15
    • (1990) Int J Solid Struct , vol.26 , pp. 1-15
    • Sosa, H.1    Pak, Y.E.2
  • 21
    • 0027072278 scopus 로고
    • On the fracture mechanics of piezoelectric solids
    • Sosa H. On the fracture mechanics of piezoelectric solids. Int J Solid Struct 29 (1992) 2613-2622
    • (1992) Int J Solid Struct , vol.29 , pp. 2613-2622
    • Sosa, H.1
  • 22
    • 34249842060 scopus 로고
    • Linear electro-elastic fracture mechanics of piezoelectric materials
    • Pak Y.E. Linear electro-elastic fracture mechanics of piezoelectric materials. Int J Fract 54 (1992) 79-100
    • (1992) Int J Fract , vol.54 , pp. 79-100
    • Pak, Y.E.1
  • 23
    • 0028744788 scopus 로고
    • Fracture criteria for piezoelectric ceramics
    • Park S.B., and Sun C.T. Fracture criteria for piezoelectric ceramics. Int J Fract 70 (1995) 203-216
    • (1995) Int J Fract , vol.70 , pp. 203-216
    • Park, S.B.1    Sun, C.T.2
  • 24
    • 0032652889 scopus 로고    scopus 로고
    • Analytical solution for an arbitrarily oriented void/crack and fracture of piezoceramics
    • Xu X.-L., and Rajapakse R.K.N.D. Analytical solution for an arbitrarily oriented void/crack and fracture of piezoceramics. Acta Mater 47 (1999) 1735-1747
    • (1999) Acta Mater , vol.47 , pp. 1735-1747
    • Xu, X.-L.1    Rajapakse, R.K.N.D.2
  • 25
    • 0342472100 scopus 로고    scopus 로고
    • A theoretical study of branched cracks in piezoelectrics
    • Xu X.-L., and Rajapakse R.K.N.D. A theoretical study of branched cracks in piezoelectrics. Acta Mater 48 (2000) 1865-1882
    • (2000) Acta Mater , vol.48 , pp. 1865-1882
    • Xu, X.-L.1    Rajapakse, R.K.N.D.2
  • 26
    • 0032627444 scopus 로고    scopus 로고
    • Fundamental solution for a penny-shaped crack in a piezoelectric medium
    • Chen W.Q., and Shioya T. Fundamental solution for a penny-shaped crack in a piezoelectric medium. J Mech Phys Solid 47 (1999) 1459-1475
    • (1999) J Mech Phys Solid , vol.47 , pp. 1459-1475
    • Chen, W.Q.1    Shioya, T.2
  • 27
    • 0026883637 scopus 로고
    • Three-dimensional analysis of a flat ellipsoidal inclusion in a piezoelectric material
    • Wang B. Three-dimensional analysis of a flat ellipsoidal inclusion in a piezoelectric material. Int J Solid Struct 30 (1992) 781-791
    • (1992) Int J Solid Struct , vol.30 , pp. 781-791
    • Wang, B.1
  • 28
    • 0029327608 scopus 로고
    • Fields near elliptical crack in piezoelectric ceramics
    • Wang Z.K., and Huang S.H. Fields near elliptical crack in piezoelectric ceramics. Engng Fract Mech 51 (1995) 447-456
    • (1995) Engng Fract Mech , vol.51 , pp. 447-456
    • Wang, Z.K.1    Huang, S.H.2
  • 30
    • 34547211204 scopus 로고    scopus 로고
    • Fracture of piezoelectric ceramics
    • Zhang T.Y., Zhao M.H., and Tong P. Fracture of piezoelectric ceramics. Adv Appl Mech 38 (2002) 147-289
    • (2002) Adv Appl Mech , vol.38 , pp. 147-289
    • Zhang, T.Y.1    Zhao, M.H.2    Tong, P.3
  • 31
    • 77956772498 scopus 로고    scopus 로고
    • Cracks and fracture in piezoelectrics
    • Chen Y.H., and Lu T.J. Cracks and fracture in piezoelectrics. Adv Appl Mech 39 (2003) 121-215
    • (2003) Adv Appl Mech , vol.39 , pp. 121-215
    • Chen, Y.H.1    Lu, T.J.2
  • 32
    • 23044513597 scopus 로고    scopus 로고
    • Current understanding on fracture behavior of ferroelectric/piezoelectric materials
    • Chen Y.H., and Hasebe N. Current understanding on fracture behavior of ferroelectric/piezoelectric materials. J Intell Mater Syst Struct 16 (2005) 673-687
    • (2005) J Intell Mater Syst Struct , vol.16 , pp. 673-687
    • Chen, Y.H.1    Hasebe, N.2
  • 33
    • 84903418729 scopus 로고    scopus 로고
    • Fracture and fatigue of ferroelectrics
    • Milne I., Ritchie R.O., and Karihaloo B. (Eds), Elsevier Pergamon, Amsterdam
    • Yang W., Fang F., and Fang D.N. Fracture and fatigue of ferroelectrics. In: Milne I., Ritchie R.O., and Karihaloo B. (Eds). Comprehensive Structural Integrity (2003), Elsevier Pergamon, Amsterdam 645-686
    • (2003) Comprehensive Structural Integrity , pp. 645-686
    • Yang, W.1    Fang, F.2    Fang, D.N.3
  • 34
    • 33845315531 scopus 로고    scopus 로고
    • Finite element analyses of cracks in piezoelectric structures: a survey
    • Kuna M. Finite element analyses of cracks in piezoelectric structures: a survey. Arch Appl Mech 76 (2006) 725-745
    • (2006) Arch Appl Mech , vol.76 , pp. 725-745
    • Kuna, M.1
  • 35
    • 0029757915 scopus 로고    scopus 로고
    • Crack propagation in piezoelectric materials under combined mechanical and electric loadings
    • Kumar S., and Singh R.N. Crack propagation in piezoelectric materials under combined mechanical and electric loadings. Acta Mater 44 (1996) 173-200
    • (1996) Acta Mater , vol.44 , pp. 173-200
    • Kumar, S.1    Singh, R.N.2
  • 36
    • 0031076057 scopus 로고    scopus 로고
    • Energy release rate and crack propagation in piezoelectric materials, Part II, combined mechanical and electric loads
    • Kumar S., and Singh R.N. Energy release rate and crack propagation in piezoelectric materials, Part II, combined mechanical and electric loads. Acta Mater 45 (1997) 849-868
    • (1997) Acta Mater , vol.45 , pp. 849-868
    • Kumar, S.1    Singh, R.N.2
  • 37
    • 0002332950 scopus 로고    scopus 로고
    • Finite element analyses of crack problems in piezoelectric structures
    • Kuna M. Finite element analyses of crack problems in piezoelectric structures. Comput Mater Sci 13 (1998) 67-80
    • (1998) Comput Mater Sci , vol.13 , pp. 67-80
    • Kuna, M.1
  • 38
    • 36749036608 scopus 로고    scopus 로고
    • The M-integral for calculating intensity factors of an impermeable crack in a piezoelectric material
    • Banks-Sills L., Motola Y., and Shemesh L. The M-integral for calculating intensity factors of an impermeable crack in a piezoelectric material. Engng Fract Mech 75 (2008) 901-925
    • (2008) Engng Fract Mech , vol.75 , pp. 901-925
    • Banks-Sills, L.1    Motola, Y.2    Shemesh, L.3
  • 39
    • 0037221849 scopus 로고    scopus 로고
    • Finite element analyses of three-dimensional crack problems in piezoelectric structures
    • Shang F., Kuna M., and Abendroth M. Finite element analyses of three-dimensional crack problems in piezoelectric structures. Engng Fract Mech 70 (2003) 143-160
    • (2003) Engng Fract Mech , vol.70 , pp. 143-160
    • Shang, F.1    Kuna, M.2    Abendroth, M.3
  • 40
    • 73449095917 scopus 로고    scopus 로고
    • Kemmer G. Berechnung von elektromechanischen Intensitätsparametern bei Rissen in Piezokeramiken. Dissertation, TU Dresden, 2000. VDI-Verlag Düsseldorf, Reihe 18, Nr. 261.
    • Kemmer G. Berechnung von elektromechanischen Intensitätsparametern bei Rissen in Piezokeramiken. Dissertation, TU Dresden, 2000. VDI-Verlag Düsseldorf, Reihe 18, Nr. 261.
  • 41
    • 10444283419 scopus 로고    scopus 로고
    • Efficient boundary element analysis of cracks in 2D piezoelectric structures
    • Groh U., and Kuna M. Efficient boundary element analysis of cracks in 2D piezoelectric structures. Int J Solid Struct 42 (2004) 2399-2416
    • (2004) Int J Solid Struct , vol.42 , pp. 2399-2416
    • Groh, U.1    Kuna, M.2
  • 42
    • 18844425184 scopus 로고    scopus 로고
    • Three-dimensional BEM for piezoelectric fracture analysis
    • Sanz J.A., Ariza M.P., and Dominguez J. Three-dimensional BEM for piezoelectric fracture analysis. Engng Anal Bound Elem 26 (2005) 586-596
    • (2005) Engng Anal Bound Elem , vol.26 , pp. 586-596
    • Sanz, J.A.1    Ariza, M.P.2    Dominguez, J.3
  • 45
    • 0035630371 scopus 로고    scopus 로고
    • Ferroelectric and ferroelastic piezoceramics - modeling of electromechanical hysteresis phenomena
    • Kamlah M. Ferroelectric and ferroelastic piezoceramics - modeling of electromechanical hysteresis phenomena. Continuum Mech Thermodyn 13 (2001) 219-268
    • (2001) Continuum Mech Thermodyn , vol.13 , pp. 219-268
    • Kamlah, M.1
  • 47
    • 0004045630 scopus 로고
    • Electronic ceramics. Properties. Devices and applications
    • Levinson L.M. (Ed), Marcel Dekker, New York [chapter 2]
    • Pohanka R.C., and Smith P.L. Electronic ceramics. Properties. Devices and applications. In: Levinson L.M. (Ed). Recent advances in piezoelectric ceramics, electronic ceramics (1988), Marcel Dekker, New York [chapter 2]
    • (1988) Recent advances in piezoelectric ceramics, electronic ceramics
    • Pohanka, R.C.1    Smith, P.L.2
  • 48
    • 73449083893 scopus 로고
    • Invariant G-integrals and their application in mechanics
    • [in Russian]
    • Cherepanov G.P. Invariant G-integrals and their application in mechanics. Prikl Mat Mech 41 (1977) 399-412 [in Russian]
    • (1977) Prikl Mat Mech , vol.41 , pp. 399-412
    • Cherepanov, G.P.1
  • 49
    • 46149136676 scopus 로고
    • Crack extension force in a dielectric medium
    • Pak Y.E., and Herrmann G. Crack extension force in a dielectric medium. Int J Engng Sci 24 (1986) 1375-1388
    • (1986) Int J Engng Sci , vol.24 , pp. 1375-1388
    • Pak, Y.E.1    Herrmann, G.2
  • 50
    • 0025568047 scopus 로고
    • A J-integral for the analysis of electrically induced mechanical stress at cracks in elastic dielectrics
    • McMeeking R.M. A J-integral for the analysis of electrically induced mechanical stress at cracks in elastic dielectrics. Int J Engng Sci 28 (1990) 605-613
    • (1990) Int J Engng Sci , vol.28 , pp. 605-613
    • McMeeking, R.M.1
  • 51
    • 0342545904 scopus 로고    scopus 로고
    • Crack tip energy release rate for a piezoelectric compact tension specimen
    • McMeeking R.M. Crack tip energy release rate for a piezoelectric compact tension specimen. Engng Fract Mech 64 (1999) 217-244
    • (1999) Engng Fract Mech , vol.64 , pp. 217-244
    • McMeeking, R.M.1
  • 52
    • 0035280296 scopus 로고    scopus 로고
    • Towards a fracture mechanics for brittle piezoelectric and dielectric materials
    • McMeeking R.M. Towards a fracture mechanics for brittle piezoelectric and dielectric materials. Int J Fract 108 (2001) 25-41
    • (2001) Int J Fract , vol.108 , pp. 25-41
    • McMeeking, R.M.1
  • 53
    • 0040869263 scopus 로고
    • On the energy of electroelastic fracture
    • Dascalu C., and Maugin G.A. On the energy of electroelastic fracture. Z Angew Math Phys 46 (1995) 355-365
    • (1995) Z Angew Math Phys , vol.46 , pp. 355-365
    • Dascalu, C.1    Maugin, G.A.2
  • 54
    • 0036544334 scopus 로고    scopus 로고
    • Finite element computation of the electromechanical J-integral for 2D and 3D crack analysis
    • Abendroth M., Groh U., Kuna M., and Ricoeur A. Finite element computation of the electromechanical J-integral for 2D and 3D crack analysis. Int J Fract 114 (2002) 359-378
    • (2002) Int J Fract , vol.114 , pp. 359-378
    • Abendroth, M.1    Groh, U.2    Kuna, M.3    Ricoeur, A.4
  • 55
    • 21444448428 scopus 로고    scopus 로고
    • Calculation of the J-integral for limited permeable cracks in piezoelectrics
    • Ricoeur A., Enderlein M., and Kuna M. Calculation of the J-integral for limited permeable cracks in piezoelectrics. Arch Appl Mech 74 (2005) 536-549
    • (2005) Arch Appl Mech , vol.74 , pp. 536-549
    • Ricoeur, A.1    Enderlein, M.2    Kuna, M.3
  • 56
    • 34249762896 scopus 로고
    • J-integral measurement for piezoelectric materials
    • Zhang T.Y. J-integral measurement for piezoelectric materials. Int J Fract 68 (1994) R33-R40
    • (1994) Int J Fract , vol.68
    • Zhang, T.Y.1
  • 57
    • 12444258992 scopus 로고    scopus 로고
    • Recent developments and applications of invariant integrals
    • Chen Y.H., and Lu T.J. Recent developments and applications of invariant integrals. Appl Mech Review 56 (2003) 515-552
    • (2003) Appl Mech Review , vol.56 , pp. 515-552
    • Chen, Y.H.1    Lu, T.J.2
  • 58
    • 0033149660 scopus 로고    scopus 로고
    • Exact solution for the plane problem in piezoelectric materials with an elliptic hole or a crack
    • Gao C.F., and Fan J.X. Exact solution for the plane problem in piezoelectric materials with an elliptic hole or a crack. Int J Solid Struct 36 (1999) 2527-2540
    • (1999) Int J Solid Struct , vol.36 , pp. 2527-2540
    • Gao, C.F.1    Fan, J.X.2
  • 59
    • 0028407551 scopus 로고
    • A new electric boundary condition of electric fracture mechanics and its application
    • Hao T.-H., and Shen Z.-Y. A new electric boundary condition of electric fracture mechanics and its application. Engng Fract Mech 47 (1994) 793-802
    • (1994) Engng Fract Mech , vol.47 , pp. 793-802
    • Hao, T.-H.1    Shen, Z.-Y.2
  • 60
    • 0346154959 scopus 로고    scopus 로고
    • The energy release rate for a Griffith crack in a piezoelectric material
    • McMeeking R.M. The energy release rate for a Griffith crack in a piezoelectric material. Engng Fract Mech 71 (2004) 1149-1163
    • (2004) Engng Fract Mech , vol.71 , pp. 1149-1163
    • McMeeking, R.M.1
  • 61
    • 0037411311 scopus 로고    scopus 로고
    • Finite element analysis of cracks in piezoelectric materials taking into account the permittivity of the crack medium
    • Gruebner O., Kamlah M., and Munz D. Finite element analysis of cracks in piezoelectric materials taking into account the permittivity of the crack medium. Engng Fract Mech 70 (2003) 1399-1413
    • (2003) Engng Fract Mech , vol.70 , pp. 1399-1413
    • Gruebner, O.1    Kamlah, M.2    Munz, D.3
  • 62
    • 3042571660 scopus 로고    scopus 로고
    • Towards the computation of electrically permeable cracks in piezoelectrics
    • Wippler K., Ricoeur A., and Kuna M. Towards the computation of electrically permeable cracks in piezoelectrics. Engng Fract Mech 71 (2004) 2567-2587
    • (2004) Engng Fract Mech , vol.71 , pp. 2567-2587
    • Wippler, K.1    Ricoeur, A.2    Kuna, M.3
  • 63
    • 4544340557 scopus 로고    scopus 로고
    • Energetically consistent boundary conditions for electromechanical fracture
    • Landis C.M. Energetically consistent boundary conditions for electromechanical fracture. Int J Solid Struct 41 (2004) 6291-6315
    • (2004) Int J Solid Struct , vol.41 , pp. 6291-6315
    • Landis, C.M.1
  • 64
    • 0037425406 scopus 로고    scopus 로고
    • The electrical potential difference across cracks in PZT measured by Kelvin Probe Microscopy and the implications for fracture
    • Schneider G.A., Felten F., and 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
    • (2003) Acta Mater , vol.51 , pp. 2235-2241
    • Schneider, G.A.1    Felten, F.2    McMeeking, R.M.3
  • 65
    • 0033349575 scopus 로고    scopus 로고
    • Conducting cracks in a piezoelectric ceramic of limited electrical polarization
    • Ru C.Q., and Mao X.J. Conducting cracks in a piezoelectric ceramic of limited electrical polarization. Mech Phys Solid 47 (1999) 2125-2146
    • (1999) Mech Phys Solid , vol.47 , pp. 2125-2146
    • Ru, C.Q.1    Mao, X.J.2
  • 66
    • 0033892159 scopus 로고    scopus 로고
    • Exact solution for finite electrode layers embedded at the interface of two piezoelectric half-planes
    • Ru C.Q. Exact solution for finite electrode layers embedded at the interface of two piezoelectric half-planes. J Mech Phys Solid 48 (2000) 693-708
    • (2000) J Mech Phys Solid , vol.48 , pp. 693-708
    • Ru, C.Q.1
  • 68
    • 0033328309 scopus 로고    scopus 로고
    • Impact response of a finite crack in an orthotropic piezoelectric ceramic
    • Shindo Y., Narita F., and Ozawa E. Impact response of a finite crack in an orthotropic piezoelectric ceramic. Acta Mech 137 (1999) 99-107
    • (1999) Acta Mech , vol.137 , pp. 99-107
    • Shindo, Y.1    Narita, F.2    Ozawa, E.3
  • 69
    • 0035153343 scopus 로고    scopus 로고
    • Transient response of a crack in piezoelectric strip subjected to the mechanical and electrical impacts: mode-I problem
    • Wang X., and Yu S. Transient response of a crack in piezoelectric strip subjected to the mechanical and electrical impacts: mode-I problem. Mech Mater 33 (2001) 11-20
    • (2001) Mech Mater , vol.33 , pp. 11-20
    • Wang, X.1    Yu, S.2
  • 70
    • 27844441336 scopus 로고    scopus 로고
    • Finite element techniques for dynamic crack analysis in piezoelectrics
    • Enderlein M., Ricoeur A., and Kuna M. Finite element techniques for dynamic crack analysis in piezoelectrics. Int J Fract 134 (2005) 191-208
    • (2005) Int J Fract , vol.134 , pp. 191-208
    • Enderlein, M.1    Ricoeur, A.2    Kuna, M.3
  • 71
    • 33846588856 scopus 로고    scopus 로고
    • 2D transient dynamic crack analysis in piezoelectric solids by BEM
    • Garcia-Sanchez F., Zhang C., Sladek J., and Sladek V. 2D transient dynamic crack analysis in piezoelectric solids by BEM. Comput Mater Sci 39 (2007) 179-186
    • (2007) Comput Mater Sci , vol.39 , pp. 179-186
    • Garcia-Sanchez, F.1    Zhang, C.2    Sladek, J.3    Sladek, V.4
  • 72
    • 33846551209 scopus 로고    scopus 로고
    • Dominguez, Hypersingular BEM for dynamic fracture in 2D piezoelectric solids
    • Saez A., and Garcia-Sanchez F. Dominguez, Hypersingular BEM for dynamic fracture in 2D piezoelectric solids. J Comput Meth Appl Mech Engng 196 (2006) 235-246
    • (2006) J Comput Meth Appl Mech Engng , vol.196 , pp. 235-246
    • Saez, A.1    Garcia-Sanchez, F.2
  • 73
    • 0031119420 scopus 로고    scopus 로고
    • Local and global energy release rates for an electrically yielded crack in a piezoelectric ceramic
    • Gao H., Zhang T.Y., and Tong P. Local and global energy release rates for an electrically yielded crack in a piezoelectric ceramic. J Mech Phys Solid 45 (1997) 451-491
    • (1997) J Mech Phys Solid , vol.45 , pp. 451-491
    • Gao, H.1    Zhang, T.Y.2    Tong, P.3
  • 74
    • 0001660992 scopus 로고    scopus 로고
    • Analysis of strip electric saturation model for crack problem in piezoelectric materials
    • Wang T.C. Analysis of strip electric saturation model for crack problem in piezoelectric materials. Int J Solid Struct 37 (2000) 6031-6049
    • (2000) Int J Solid Struct , vol.37 , pp. 6031-6049
    • Wang, T.C.1
  • 75
    • 0001638325 scopus 로고    scopus 로고
    • The simulation of switching in polycrystalline ferroelectric ceramics
    • Hwang S.C., Huber J.E., McMeeking R.M., and Fleck N.A. The simulation of switching in polycrystalline ferroelectric ceramics. J Appl Phys 84 (1998) 1530-1540
    • (1998) J Appl Phys , vol.84 , pp. 1530-1540
    • Hwang, S.C.1    Huber, J.E.2    McMeeking, R.M.3    Fleck, N.A.4
  • 76
    • 0035341159 scopus 로고    scopus 로고
    • On the local and average energy release in polarization switching phenomena
    • Kessler H., and Balke H.J. On the local and average energy release in polarization switching phenomena. Mech Phys Solid 49 (2001) 953-978
    • (2001) Mech Phys Solid , vol.49 , pp. 953-978
    • Kessler, H.1    Balke, H.J.2
  • 77
    • 0032280215 scopus 로고    scopus 로고
    • On the development of multiaxial phenomenological constitutive laws for ferroelectric ceramics
    • Lynch C.S. On the development of multiaxial phenomenological constitutive laws for ferroelectric ceramics. J Intell Mater Syst Struct 9 (1998) 555-563
    • (1998) J Intell Mater Syst Struct , vol.9 , pp. 555-563
    • Lynch, C.S.1
  • 78
    • 0036131913 scopus 로고    scopus 로고
    • Fully coupled, multi-axial, symmetric constitutive laws for polycrystalline ferroelectric ceramics
    • Landis C.M. Fully coupled, multi-axial, symmetric constitutive laws for polycrystalline ferroelectric ceramics. J Mech Phys Solid 50 (2002) 127-152
    • (2002) J Mech Phys Solid , vol.50 , pp. 127-152
    • Landis, C.M.1
  • 79
    • 2642524421 scopus 로고    scopus 로고
    • Simulations of domain switching in ferroelectrics by a three-dimensional finite element model
    • Li F., and Fang D. Simulations of domain switching in ferroelectrics by a three-dimensional finite element model. Mech Mater 36 (2004) 959-973
    • (2004) Mech Mater , vol.36 , pp. 959-973
    • Li, F.1    Fang, D.2
  • 80
    • 12244256134 scopus 로고    scopus 로고
    • Finite element simulation of a polycrystalline ferroelectric based on a multidomain single crystal switching model
    • Kamlah M., Liskowsky A.C., McMeeking R.M., and Balke H. Finite element simulation of a polycrystalline ferroelectric based on a multidomain single crystal switching model. Int J Solid Struct 42 (2005) 2949-2964
    • (2005) Int J Solid Struct , vol.42 , pp. 2949-2964
    • Kamlah, M.1    Liskowsky, A.C.2    McMeeking, R.M.3    Balke, H.4
  • 82
    • 0031270179 scopus 로고    scopus 로고
    • Toughness variation of ferroelectrics by polarization switch under non-uniform electric field
    • Zhu T., and Yang W. Toughness variation of ferroelectrics by polarization switch under non-uniform electric field. Acta Mater 45 (1997) 4695-4702
    • (1997) Acta Mater , vol.45 , pp. 4695-4702
    • Zhu, T.1    Yang, W.2
  • 83
    • 0000044805 scopus 로고    scopus 로고
    • Toughening of conducting cracks due to domain switching
    • Rajapakse R.K.N.D., and Zeng X. Toughening of conducting cracks due to domain switching. Acta Mater 49 (2001) 877-885
    • (2001) Acta Mater , vol.49 , pp. 877-885
    • Rajapakse, R.K.N.D.1    Zeng, X.2
  • 84
    • 0037404933 scopus 로고    scopus 로고
    • A micromechanical model for the fracture process zone in ferroelectrics
    • Ricoeur A., and Kuna M. A micromechanical model for the fracture process zone in ferroelectrics. Comput Mater Sci 27 (2003) 235-249
    • (2003) Comput Mater Sci , vol.27 , pp. 235-249
    • Ricoeur, A.1    Kuna, M.2
  • 85
    • 0037411615 scopus 로고    scopus 로고
    • Influence of electric fields on the fracture of ferroelectric ceramics
    • Ricoeur A., and Kuna M. Influence of electric fields on the fracture of ferroelectric ceramics. J Eur Ceram Soc 23 (2003) 1313-1328
    • (2003) J Eur Ceram Soc , vol.23 , pp. 1313-1328
    • Ricoeur, A.1    Kuna, M.2
  • 86
    • 0020129343 scopus 로고
    • Mechanics of transformation toughening in brittle materials
    • McMeeking R.M., and Evans A.G. Mechanics of transformation toughening in brittle materials. J Am Ceram Soc 65 (1982) 242-246
    • (1982) J Am Ceram Soc , vol.65 , pp. 242-246
    • McMeeking, R.M.1    Evans, A.G.2
  • 87
    • 0000544659 scopus 로고    scopus 로고
    • Effect of local polarization switching on piezoelectric fracture
    • Fulton C.C., and Gao H. Effect of local polarization switching on piezoelectric fracture. J Mech Phys Solid 49 (2001) 927-952
    • (2001) J Mech Phys Solid , vol.49 , pp. 927-952
    • Fulton, C.C.1    Gao, H.2
  • 88
    • 0035933637 scopus 로고    scopus 로고
    • Microstructural modeling of ferroelectric fracture
    • Fulton C.C., and Gao H. Microstructural modeling of ferroelectric fracture. Acta Mater 49 (2001) 2039-2054
    • (2001) Acta Mater , vol.49 , pp. 2039-2054
    • Fulton, C.C.1    Gao, H.2
  • 90
    • 0141744532 scopus 로고    scopus 로고
    • The weight function for cracks in piezoelectrics
    • McMeeking R., and Ricoeur A. The weight function for cracks in piezoelectrics. Int J Solid Struct 40 (2003) 6143-6162
    • (2003) Int J Solid Struct , vol.40 , pp. 6143-6162
    • McMeeking, R.1    Ricoeur, A.2
  • 93
    • 0033307625 scopus 로고    scopus 로고
    • Crack growth behavior in piezoelectrics under cyclic loads
    • Jiang L.Z., and Sun C.T. Crack growth behavior in piezoelectrics under cyclic loads. Ferroelectrics 233 (1999) 211-223
    • (1999) Ferroelectrics , vol.233 , pp. 211-223
    • Jiang, L.Z.1    Sun, C.T.2
  • 94
    • 0036603902 scopus 로고    scopus 로고
    • Electric-field-induced fatigue crack growth in ferroelectric ceramics
    • Liu B., Fang D.N., and Hwang K.-C. Electric-field-induced fatigue crack growth in ferroelectric ceramics. Mater Lett 54 (2002) 442-446
    • (2002) Mater Lett , vol.54 , pp. 442-446
    • Liu, B.1    Fang, D.N.2    Hwang, K.-C.3
  • 95
    • 1842575868 scopus 로고    scopus 로고
    • Fatigue crack growth induced by domain switching under electromechanical load in ferroelectrics
    • Mao G.Z., and Fang D.N. Fatigue crack growth induced by domain switching under electromechanical load in ferroelectrics. Theor Appl Fract Mech 41 (2004) 115-123
    • (2004) Theor Appl Fract Mech , vol.41 , pp. 115-123
    • Mao, G.Z.1    Fang, D.N.2
  • 96
    • 3142752176 scopus 로고    scopus 로고
    • Fatigue crack growth in ferroelctric ceramics driven by alternating electric fields
    • Fang D.N., Liu B., and Sun C.T. Fatigue crack growth in ferroelctric ceramics driven by alternating electric fields. J Am Ceram Soc 87 (2004) 840-846
    • (2004) J Am Ceram Soc , vol.87 , pp. 840-846
    • Fang, D.N.1    Liu, B.2    Sun, C.T.3
  • 97
    • 33751419829 scopus 로고    scopus 로고
    • Mechanism of electric fatigue crack growth in lead zirconate titanate
    • Westram I., Oates W.S., Lupascu D.C., Rödel J., and Lynch C.S. Mechanism of electric fatigue crack growth in lead zirconate titanate. Acta Mater 55 (2007) 301-312
    • (2007) Acta Mater , vol.55 , pp. 301-312
    • Westram, I.1    Oates, W.S.2    Lupascu, D.C.3    Rödel, J.4    Lynch, C.S.5
  • 98
    • 33846352858 scopus 로고    scopus 로고
    • Fatigue crack growth law for ferroelectrics under cyclic electrical and combined electromechanical loading
    • Westram I., Ricoeur A., Emrich A., Rödel J., and Kuna M. Fatigue crack growth law for ferroelectrics under cyclic electrical and combined electromechanical loading. J Eur Ceram Soc 27 (2007) 2485-2494
    • (2007) J Eur Ceram Soc , vol.27 , pp. 2485-2494
    • Westram, I.1    Ricoeur, A.2    Emrich, A.3    Rödel, J.4    Kuna, M.5
  • 100
    • 0032715098 scopus 로고    scopus 로고
    • Fatigue crack growth in ferroelectrics driven by cyclic electric loading
    • Zhu T., and Yang W. Fatigue crack growth in ferroelectrics driven by cyclic electric loading. J Mech Phys Solid 47 (1999) 81-97
    • (1999) J Mech Phys Solid , vol.47 , pp. 81-97
    • Zhu, T.1    Yang, W.2


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