Microstructure and stray electric fields at surface cracks in ferroelectrics

International Journal of Fracture

Volumn 174, Issue 1, 2012, Pages 17-27

  Yang, Lun ^a   Dayal, Kaushik ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Boundary element method; Cracks; Domain patterns; Ferroelectrics; Phase field simulation

Indexed keywords

CHARGE COMPENSATION; CRACK FACES; CRACK ORIENTATIONS; DOMAIN PATTERN; ELECTRICAL FIELD; ELECTRO-MECHANICS; FAR-FIELD STRESS; FERROELECTRIC PEROVSKITES; GEOMETRIC FEATURE; OPTICAL APPLICATIONS; PHASE FIELD METHODS; PHASE-FIELD SIMULATION; REAL-SPACE; STATIONARY CRACK; SURFACE CRACKS;

BOUNDARY ELEMENT METHOD; ELECTRIC FIELDS; ELECTROMECHANICAL COUPLING; FERROELECTRIC MATERIALS; OPTICAL PROPERTIES; PEROVSKITE; SURFACE DEFECTS;

CRACKS;

EID: 84862777204     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-011-9670-2     Document Type: Article

References (29)

1. A Abdollahi I Arias 2011 Phase-field modeling of the coupled microstructure and fracture evolution in ferroelectric single crystals Acta Mater 59 12 4733 4746 10.1016/j.actamat.2011.03.030 1:CAS:528: DC%2BC3MXmvFOgsrk%3D
2. K Dayal K Bhattacharya 2007 A real-space non-local phase-field model of ferroelectric domain patterns in complex geometries Acta Mater 55 6 1907 1917 10.1016/j.actamat.2006.10.049 1:CAS:528:DC%2BD2sXitlKms7g%3D
3. K Dayal K Bhattacharya 2007 Active tuning of photonic device characteristics during operation by ferroelectric domain switching J Appl Phys 102 064102 10.1063/1.2779261 (Pubitemid 47508971)
4. MY El-Naggar K Dayal DG Goodwin K Bhattacharya 2006 Graded ferroelectric capacitors with robust temperature characteristics J Appl Phys 100 114115 10.1063/1.2369650 (Pubitemid 46012223)
5. D Fang Y Jiang S Li CT Sun 2007 Interactions between domain switching and crack propagation in poled batio3 single crystal under mechanical loading Acta Mater 55 17 5758 5767 10.1016/j.actamat.2007.06.024 1:CAS:528:DC%2BD2sXhtVKrsLnO (Pubitemid 47419401)
6. Y Jiang Y Zhang B Liu D Fang 2009 Study on crack propagation in ferroelectric single crystal under electric loading Acta Mater 57 5 1630 1638 10.1016/j.actamat.2008.12.009 1:CAS:528:DC%2BD1MXitFCitb4%3D
7. CM Landis 2003 On the fracture toughness of ferroelastic materials J Mech Phys Solids 51 8 1347 1369 10.1016/S0022-5096(03)00065-6
8. CM Landis 2004 Energetically consistent boundary conditions for electromechanical fracture Int J Solids Struct 41 6291 6315 10.1016/j.ijsolstr. 2004.05.062
9. LJ Li Y Yang YC Shu JY Li 2010 Continuum theory and phase-field simulation of magnetoelectric effects in multiferroic bismuth ferrite J Mech Phys Solids 58 10 1613 1627 10.1016/j.jmps.2010.07.006 1:CAS:528: DC%2BC3cXhtFGqt73M
10. LJ Li CH Lei YC Shu JY Li 2011 Phase-field simulation of magnetoelastic couplings in ferromagnetic shape memory alloys Acta Mater 59 7 2648 2655 10.1016/j.actamat.2011.01.001 1:CAS:528:DC%2BC3MXjtlWhsbk%3D
11. W Li CM Landis 2011 Nucleation and growth of domains near crack tips in single crystal ferroelectrics Eng Fract Mech 78 7 1505 1513 10.1016/j. engfracmech.2011.01.002
12. CS Lynch 1998 Fracture of ferroelectric and relaxor electro-ceramics: influence of electric field1 Acta Mater 46 2 599 608 10.1016/S1359-6454(97) 00225-5 1:CAS:528:DyaK1cXnsVKrsg%3D%3D (Pubitemid 128430064)
13. GA Schneider 2007 Influence of electric field and mechanical stresses on the fracture of ferroelectrics Annu Rev Mater Res 37 1 491 10.1146/annurev. matsci.37.052506.084213 1:CAS:528:DC%2BD2sXptlSlsLw%3D (Pubitemid 47497655)
14. GA Schneider F Felten RM McMeeking 2003 The electrical potential difference across cracks in pzt measured by kelvin probe microscopy and the implications for fracture Acta Mater 51 8 2235 2241 10.1016/S1359-6454(03)00027- 2 1:CAS:528:DC%2BD3sXisVGgsLs%3D
15. Scott JF (2000) Ferroelectric memories. Springer, New York
16. YC Shu K Bhattacharya 2001 Domain patterns and macroscopic behaviour of ferroelectric materials Philos Mag Part B 81 12 2021 2054 10.1080/ 13642810108208556 1:CAS:528:DC%2BD38XhvVWqug%3D%3D (Pubitemid 35435992)
17. X Sun YJ Su KW Gao LQ Guo LJ Qiao WY Chu TY Zhang 2011 Surface potential distribution in an indentation-pre-cracked batio3 single crystal J Am Ceram Soc 94 12 4299 4304 10.1111/j.1551-2916.2011.04634.x 1:CAS:528:DC%2BC3MXhs1WlurnE
18. AK Tagantsev VO Sherman KF Astafiev J Venkatesh N Setter 2003 Ferroelectric materials for microwave tunable applications J Electroceram 11 5 66 10.1023/B:JECR.0000015661.81386.e6 1:CAS:528:DC%2BD2cXhtFCmsLo%3D
19. Uchino K (1996) Piezoelectric actuators and ultrasonic motors. Kluwer, Dordrecht
20. J Wang CM Landis 2004 On the fracture toughness of ferroelectric ceramics with electric field applied parallel to the crack front Acta Mater 52 12 3435 3446 10.1016/j.actamat.2004.03.041 1:CAS:528:DC%2BD2cXkvFygsrw%3D
21. J Wang TY Zhang 2007 Phase field simulations of polarization switching-induced toughening in ferroelectric ceramics Acta Mater 55 7 2465 2477 10.1016/j.actamat.2006.11.041 1:CAS:528:DC%2BD2sXjtl2ht7Y%3D (Pubitemid 46436578)
22. I Westram WS Oates DC Lupascu J Rodel CS Lynch 2007 Mechanism of electric fatigue crack growth in lead zirconate titanate Acta Mater 55 1 301 312 10.1016/j.actamat.2006.08.029 1:CAS:528:DC%2BD28Xht1KhsrnF (Pubitemid 44820945)
23. BX Xu D Schrade D Gross R Mueller 2011 Fracture simulation of ferroelectrics based on the phase field continuum and a damage variable Int J Fract 166 1 163 172 10.1007/s10704-010-9520-7
24. BX Xu D Schrade D Gross R Mueller 2010 Phase field simulation of domain structures in cracked ferroelectrics Int J Fract 165 2 163 173 10.1007/s10704-010-9471-z
25. Xu Y (1991) Ferroelectric materials and their applications. North-Holland
26. L Yang K Dayal 2010 Formulation of phase-field energies for microstructure in complex crystal structures Appl Phys Lett 96 081916 10.1063/1.3319503
27. L Yang K Dayal 2011 A completely iterative method for the infinite domain electrostatic problem with nonlinear dielectric media J Comput Phys 230 21 7821 7829 10.1016/j.jcp.2011.07.001 1:CAS:528:DC%2BC3MXhtVGltLrK
28. L Yang K Dayal 2011 Effect of lattice orientation, surface modulation, and applied fields on free-surface domain microstructure in ferroelectrics Acta Mater 59 17 6594 6603 10.1016/j.actamat.2011.07.014 1:CAS:528:DC%2BC3MXhtVynsbbO
29. W Zhang K Bhattacharya 2005 A computational model of ferroelectric domains. Part I: model formulation and domain switching Acta Mater 53 1 185 198 10.1016/j.actamat.2004.09.016 1:CAS:528:DC%2BD2cXptlylsbw%3D