Re-examination of the PKHS crack model in piezoelectric materials

Cao, 1994, Electric-field-induced fatigue crack growth in piezoelectrics, J. Am. Ceram. Soc., 77, 1783, 10.1111/j.1151-2916.1994.tb07051.x Chen, 1997, An exact correspondence between plane piezoelectricity and generalized plane strain in elasticity, Proc. R. Soc. Lond. A, 453, 2689, 10.1098/rspa.1997.0143 Chen, 2003, Cracks and fracture in piezoelectrics, Adv. Appl. Mech., 39, 121, 10.1016/S0065-2156(02)39003-3 Deeg, W.F., 1980. The analysis of Dislocation, crack, and inclusion problems in piezoelectric solids. Ph.D. Theses, Stanford University, Stanford, CA Fulton, 2001, Effect of local polarization switching on piezoelectric fracture, J. Mech. Phys. Solids, 49, 927, 10.1016/S0022-5096(00)00049-1 Gao, 1997, Local and global energy release rate for an electrically yielded crack in a piezoelectric ceramic, J. Mech. Phys. Solids, 45, 491, 10.1016/S0022-5096(96)00108-1 Gruebner, 2003, Finite element analysis of cracks in piezoelectric materials taking into account the permittivity of the crack medium, Engrg. Fract. Mech., 70, 1399, 10.1016/S0013-7944(02)00117-0 Hao, 1994, A new electric boundary condition of electric fracture mechanics and its application, Engrg. Fract. Mech., 47, 793, 10.1016/0013-7944(94)90059-0 Heyer, 1998, A fracture criterion for conducting cracks in homogeneously poled piezoelectric PZT-PIC 151 ceramics, Acta Mater., 46, 6615, 10.1016/S1359-6454(98)00272-9 Jiang, 2001, Analysis of indentation cracking in piezoceramics, Int. J. Solids Struct., 38, 1903, 10.1016/S0020-7683(00)00142-6 Liu, 2002, Energy analysis for permeable and impermeable cracks in piezoelectric materials, Int. J. Fract., 116, L15, 10.1023/A:1022606212516 Landis, 2004, Energetically consistent boundary conditions for electromechanical fracture, Int. J. Solids Struct., 41, 6291, 10.1016/j.ijsolstr.2004.05.062 McMeeking, 1990, A J-integral for the analysis of electrically induced mechanical stress at cracks in elastic dielectrics, Int. J. Engrg. Sci., 28, 605, 10.1016/0020-7225(90)90089-2 McMeeking, 1999, Crack tip energy release rate for a piezoelectric compact tension specimen, Engrg. Fract. Mech., 64, 217, 10.1016/S0013-7944(99)00068-5 McMeeking, 2001, Towards a fracture mechanics for brittle piezoelectric and dielectric materials, Int. J. Fract., 108, 25, 10.1023/A:1007652001977 McMeeking, 2004, The energy release rate for a Griffith crack in a piezoelectric material, Engrg. Fract. Mech., 71, 1149, 10.1016/S0013-7944(03)00135-8 Park, 1995, Fracture criteria for piezoelectric ceramics, J. Am. Ceram. Soc., 78, 1475, 10.1111/j.1151-2916.1995.tb08840.x Park, 1995, Effect of electric field on fracture of piezoelectric ceramics, Int. J. Fract., 70, 203, 10.1007/BF00012935 Parton, 1976, Fracture mechanics of piezoelectric materials, Acta Astronaut., 3, 671, 10.1016/0094-5765(76)90105-3 Parton, 1988 Schneider, 1999, Influence of the electric field on Vickers indentation crack growth in BaTiO3, J. Eur. Ceram. Soc., 19, 1299, 10.1016/S0955-2219(98)00424-5 Shindo, 2000, Electroelastic analysis of a piezoelectric ceramic strip with a central crack, Int. J. Engrg. Sci., 38, 1, 10.1016/S0020-7225(99)00015-4 Stroh, 1958, Dislocations and cracks in anisotropic elasticity, Philos. Mag., 3, 625, 10.1080/14786435808565804 Suo, 1992, Fracture mechanics for piezoelectric ceramics, J. Mech. Phys. Solids, 40, 739, 10.1016/0022-5096(92)90002-J Tobin, 1993, Effect of electric fields on fracture behavior of PZT ceramics, vol. 1916, 78 Xu, 2001, On a Plane crack in piezoelectric solids, Int. J. Solids Struct., 38, 7643, 10.1016/S0020-7683(01)00029-4 Zhang, 2004, Fracture behaviors of piezoelectric materials, Theoret. Appl. Fract. Mech., 41, 339, 10.1016/j.tafmec.2003.11.019 Zhang, 2001, Fracture piezoelectric ceramics, Adv. Appl. Mech., 38, 147, 10.1016/S0065-2156(02)80104-1