Three-dimensional finite element modeling of polarization switching in a ferroelectric single domain with an impermeable notch

Smart Materials and Structures

Volumn 18, Issue 10, 2009, Pages

  Wang, Jie ^a   Kamlah, Marc ^a  

^a KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CRITICAL VALUE; ELECTRIC DOMAIN; ELECTRICAL LOADING; FINITE ELEMENT MODELS; FRACTURE BEHAVIOR; MECHANICAL LOADING; NONLINEAR BEHAVIOR; PHYSICAL FIELD; PIEZOELECTRIC FRACTURE MECHANICS; POLARIZATION DISTRIBUTIONS; POLARIZATION FIELD; POLARIZATION SWITCHING; PRINCIPLE OF VIRTUAL WORK; SIMULATION RESULT; SINGLE DOMAINS; STRAIN FIELDS; SWITCHING CRITERION; THREE DIMENSIONAL FINITE ELEMENTS; THREE-DIMENSIONAL NONLINEAR FINITE ELEMENT MODEL; TOTAL ENERGY;

ELECTRIC FIELD MEASUREMENT; ELECTRIC FIELDS; ENGINEERING EXHIBITIONS; FERROELECTRIC DEVICES; FERROELECTRICITY; FINITE ELEMENT METHOD; FRACTURE; FRACTURE MECHANICS; OPTICAL SWITCHES; POLARIZATION; SIMULATORS; STRESSES; SWITCHING; THREE DIMENSIONAL;

FERROELECTRIC MATERIALS;

EID: 70350682041     PISSN: 09641726     EISSN: 1361665X     Source Type: Journal    
DOI: 10.1088/0964-1726/18/10/104008     Document Type: Article

References (22)

1. Park S and Sun C 1995 Facture criteria for piezoelectric ceramics J. Am. Ceram. Soc. 78 1475-80
2. Fu R and Zhang T 2000 Effects of an electric field on the fracture toughness of poled lead zirconate titanate ceramics J. Am. Ceram. Soc. 83 1215-18 (Pubitemid 30867994)
3. Fulton C and Gao H 2001 Microstructural modeling of ferroelectric fracture Acta Mater. 49 2039-54
4. Hwang S, Lynch C and McMeeking R 1995 Ferroelectric/ferroelastic interactions and a polarization switching model Acta Metall. Mater. 43 2073-84
5. Landis C 2003 On the fracture toughness of ferroelastic materials J. Mech. Phys. Solids 51 1347-69
6. Beom H and Atluri S 2003 Effect of electric fields on fracture behavior of ferroelectric ceramics J. Mech. Phys. Solids 51 1107-25
7. Zhu T and Yang W 1997 Toughness variation of ferroelectrics by polarization switch under non-uniform electric field Acta Mater. 45 4695-702
8. Kamlah M 2001 Ferroelectric and ferroelastic piezoceramics-modeling of electromechanical hysteresis phenomena Contin. Mech. Thermodyn. 13 219-68
9. Huber J, Fleck N, Landis C and McMeeking R 1999 A constitutive model for ferroelectric polycrystals J. Mech. Phys. Solids 47 1663-97
10. Kamlah M and Tsakmakis C 1999 Phenomenological modeling of the non-linear electromechanical coupling in ferroelectrics Int. J. Solids Struct. 36 669-95
11. Mehling V, Tsakmakis C and Gross D 2007 Phenomenological model for the macroscopical material behavior of ferroelectric ceramics J. Mech. Phys. Solids 55 2106-41
12. Schroder J and Romanowski H 2005 A thermodynamically consistent mesoscopic model for transversely isotropic ferroelectric ceramics in a coordinate-invariant setting Arch. Appl. Mech. 74 863-77
13. Hwang S and McMeeking R 1998 A finite element model of ferroelectric polycrystals Ferroelectrics 211 177-94
14. Kamlah M, Liskowsky A, McMeeking R and Balke H 2005 Finite element simulation of a polycrystalline ferroelectric based on a multidomain single crystal switching model Int. J. Solids Struct. 42 2949-64
15. Haug A, Huber J, Onck P and Van der Giessen E 2007 Multi-grain analysis versus self-consistent estimates of ferroelectric polycrystals J. Mech. Phys. Solids 55 648-65
16. Zhang W and Bhattacharya K 2005 A computational model of ferroelectric domains. Part I: model formulation and domain switching Acta Mater. 53 185-98
17. Wang J, Shi S, Chen L, Li Y and Zhang T 2004 Phase field simulations of ferroelectric/ferroelastic polarization switching Acta Mater. 52 749-64
18. Schrade D, Mueller R, Xu B and Gross D 2007 Domain evolution in ferroelectric materials: a continuum phase field model and finite element implementation Comput. Methods Appl. Mech. Eng. 196 4365-74
19. Su Y and Landis C 2007 Continuum thermodynamics of ferroelectric domain evolution: theory finite element implementation and application to domain wall pinning J. Mech. Phys. Solids 55 280-305
20. Soh A, Song Y and Ni Y 2006 Phase field simulations of hysteresis and butterfly loops in ferroelectrics subjected to electro-mechanical coupled loading J. Am. Ceram. Soc. 89 652-61
21. Choudhury S, Li Y, Krill C and Chen L 2005 Phase-field simulation of polarization switching and domain evolution in ferroelectric polycrystals Acta Mater. 53 5313-21
22. Cao W and Cross L 1991 Theory of tetragonal twin structures in ferroelectric perovskites with a first-order phase transition Phys. Rev. B 44 5-12