Phase field simulation of domain structures in cracked ferroelectrics

International Journal of Fracture

Volumn 165, Issue 2, 2010, Pages 163-173

  Xu, Bai Xiang ^a   Schrade, David ^b   Gross, Dietmar ^b   Mueller, Ralf ^a  

^a University of Koblenz Landau   (Germany)

^b DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Crack driving force; Electric boundary condition; Fracture in ferroelectrics; Phase field simulation

Indexed keywords

APPLIED ELECTRIC FIELD; COMPLEX PROCESSES; CONFIGURATIONAL FORCE; CRACK DRIVING FORCE; CRACK FACES; DOMAIN STRUCTURE; DOMAIN SWITCHINGS; ELECTRIC BOUNDARY CONDITIONS; FRACTURE PROPERTY; NON-LINEARITY; PERMEABLE CONDITIONS; PHASE FIELD MODELS; PHASE-FIELD SIMULATION; SURFACE BOUNDARY CONDITIONS; WORKING CONDITIONS;

CRACK TIPS; ELECTRIC FIELDS; ELECTRIC NETWORK ANALYSIS; ENGINEERING EXHIBITIONS; SINGLE CRYSTALS;

BOUNDARY CONDITIONS;

EID: 77956395302     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-010-9471-z     Document Type: Conference Paper

References (27)

1. YH Chen N Hasebe 2005 Current understanding on fracture behaviors of ferroelectric/piezoelectric materials J Int Mate Syst Strut 16 7-8 673 687 1:CAS:528:DC%2BD2MXmsVamu7g%3D 10.1177/1045389X05054330
2. Deeg WF (1980) The analysis of dislocation, cracks, and inclusion problems in piezoelectric solids. Ph. D. Thesis, Stanford University, Stanford, California
3. Eshelby JD (1970) Energy relations and the energy-momentum tensor in continuum mechanics. In: Kanninen M.F. (eds) Inelastic behaviour of solids. McGraw Hill, New York, pp 77-115
4. TH Hao ZY Shen 1994 A new electric boundary condition of electric fracture mechanics and its applications Eng Fract Mech 47 6 793 802 10.1016/0013-7944(94)90059-0
5. Y Jiang Y Zhang B Liu D Fang 2009 Study on crack propagation in ferroelectric single cystal under electric loading Acta Materialia 57 1630 1638 1:CAS:528:DC%2BD1MXitFCitb4%3D 10.1016/j.actamat.2008.12.009
6. M Kamlah 2001 Ferroelectric and ferroelastic piezoceramics-modeling of electromechanical hysteresis phenomena Continuum Mech Thermodyn 13 219 268 1049.74021 1:CAS:528:DC%2BD3MXnsFSmsbs%3D 2001CMT....13..219K
7. CM Landis 2004 Energetically consistent boundary conditions for electromechanical fracture Int J Solids Struct 41 6291 6315 1120.74755 10.1016/j.ijsolstr.2004.05.062
8. Li W, Landis CM (2008) Phase-field modeling of domain switching near crack tips in single crystal ferroelectrics. In: Proceedings of the society of photo-optical instrumentation engineers (SPIE): behavior and mechanics of multifunctional and composite materials 6929: J9290-J9290. Conference information: conference on behavior and mechanics of multifunctional and composite materials, Date: MAR 10-13, 2008 San Diego CA Source: Behavior and mechanics of multifunctional and composite materials 2008, vol 6929, pp J9290-J9290 Published: 2008
9. W Li RM McMeeking CM Landis 2008 On the crack face boundary conditions in electromechanical fracture and an experimental protocol for determinining energy release rates Eur J Mech A/Solids 27 285 301 1154.74378 10.1016/j.euromechsol.2007.08.007
10. Maugin GA (1993) Material inhomogeneities in elasticity. Chapman & Hall, London
11. RM McMeeking 2004 The energy release rate for a Griffith crack in a piezoelectric material Eng Frac Mech 71 1169 1183 10.1016/S0013-7944(03)00135-8
12. R Mueller GA Maugin 2002 On material forces and finite element discretizations Comput Mech 29 1 52 60 1053.74048 10.1007/s00466-002-0322-2 1923122
13. R Mueller S Kolling D Gross 2002 On configurational forces in the context of the finite element method Int J Numer Meth Eng 53 1557 1574 1114.74489 10.1002/nme.351 1879539
14. R Mueller D Gross D Schrade BX Xu 2007 Phase field simulation of domain structure in ferroelectric materials within the context of inhomogeneity evolution Int J Frac 147 1-4 173 180 05302915 10.1007/s10704-007-9153-7
15. VZ Parton 1976 Fracture mechanics of piezoelectric materials Acta Atronautica 3 671 683 0351.73115 10.1016/0094-5765(76)90105-3
16. GA Schneider 2007 Influence of electric field and mechanical stresses on the fracture of ferroelectrics Ann Rev Mater Res 37 491 538 1:CAS:528: DC%2BD2sXptlSlsLw%3D 10.1146/annurev.matsci.37.052506.084213 2007AnRMS..37..491S
17. D Schrade R Mueller BX Xu D Gross 2007 Domain evolution in ferroelectric materials A continuum phase field model and finite element implementation Comp Meth Appl Mech Eng 196 4365 4374 1173.74329 10.1016/j.cma.2007.05.010
18. Schrade D, Xu BX, Mueller R, Gross D (2009a) On phase field simulations of ferroelectrics: parameter identification and verification. In: Proceedings of the ASME 2008 smart materials, adaptive structures and intelligent systems (SMASIS2008), pp 301-308
19. D Schrade R Mueller D Gross 2009 Parameter identification in phase field models for ferroelectrics Proc Appl Math Mech 9 1 369 370 10.1002/pamm.200910158
20. YC Song AK Soh Y Ni 2007 Phase field simulation of crack tip domain switching in ferroelectrics J Phys D Appl Phys 40 1175 1182 1:CAS:528: DC%2BD2sXisFCls74%3D 10.1088/0022-3727/40/4/040 2007JPhD...40.1175S
21. H Wang RN Singh 1997 Crack propagation in piezoelectric ceramics effect of applied electric fields J Appl Phys 81 7471 7479 1:CAS:528:DyaK2sXjsFWnt7Y%3D 10.1063/1.365290 1997JAP....81.7471W
22. J Wang TY Zhang 2007 Simulations of polarization switching-induced toughening in ferroelectric ceramics Acta Mate 55 2465 2477 1:CAS:528: DC%2BD2sXjtl2ht7Y%3D 10.1016/j.actamat.2006.11.041
23. K Wippler A Ricoeur M Kuna 2004 Towards the computation of electrically permeable cracks in piezoelectrics Eng Fract Mech 71 2567 2587 10.1016/j.engfracmech.2004.03.003
24. BX Xu D Schrade R Mueller D Gross 2009 Micromechanical analysis of ferroelectric structures by a phase field method Comput Mater Sci 45 832 836 1:CAS:528:DC%2BD1MXkvFCjurg%3D 10.1016/j.commatsci.2008.07.010
25. S Yasuhide N Fumio S Fumitoshi 2007 Electroelastic intersification and domain switching near a plane strain crack in a rectangular piezoelectric material J Mech Mater Struct 2 8 1525 1540 10.2140/jomms.2007.2.1525
26. TY Zhang M Zhao P Tong 2002 Fracture of piezoelectric ceramics Adv Appl Mech 38 147 289 10.1016/S0065-2156(02)80104-1
27. TY Zhang CF Gao 2004 Fracture behaviors of piezoelectric materials Theor Appl Frac Mech 41 339 379 1:CAS:528:DC%2BD2cXisVymt70%3D 10.1016/j.tafmec.2003. 11.019 2067096