Micromechanical analysis of ferroelectric structures by a phase field method

Computational Materials Science

Volumn 45, Issue 3, 2009, Pages 832-836

  Xu, B X ^a   Schrade, D ^a   Mueller, R ^a   Gross, D ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Ferroelectrics; Finite element method; Hysteresis loops; Microstructure; Phase field model

Indexed keywords

CONFIGURATIONAL FORCES; CONSTITUTIVE LAWS; DOMAIN STRUCTURES; ELECTRO-MECHANICAL FIELDS; EVOLUTION EQUATIONS; EXPERIMENTAL MEASUREMENTS; FERROELECTRIC STRUCTURES; FERROELECTRICS; MESOSCOPIC; MICRO-MECHANICAL ANALYSIS; MICROSTRUCTURE EVOLUTIONS; NUMERICAL EXAMPLES; ORDER PARAMETERS; PHASE FIELD METHODS; PHASE FIELD MODEL; SPONTANEOUS POLARIZATIONS; STACK ACTUATORS; THERMO DYNAMIC ANALYSIS;

DIFFERENTIAL EQUATIONS; FERROELECTRIC MATERIALS; FERROELECTRICITY; HYSTERESIS; HYSTERESIS LOOPS; MAGNETIC MATERIALS; MICROSTRUCTURE; POLARIZATION; THERMOANALYSIS;

FINITE ELEMENT METHOD;

EID: 64249161984     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.commatsci.2008.07.010     Document Type: Article

References (23)

1. Gross D., Kolling S., Mueller R., and Schmidt I. Eur. J. Mech. A/Solids 22 (2003) 669-692
2. Mueller R., Gross D., and Lupascu D. Comput. Mater. Sci. 35 (2006) 42-52
3. Schrade D., Mueller R., Gross D., Utschig T., Shur V., and Lupascu D. Mech. Mater. 39 (2007) 161-174
4. Su Y., and Landis C.M. JMPS 55 (2007) 280-305
5. Wang J., Shi S.-Q., Chen L.-Q., Li Y., and Zhang T.-Y. Acta Mater. 52 (2004) 749-764
6. Zhang W., and Bhattacharya K. Acta Mater. 53 (2005) 185-198
7. Bhattacharya K., and Ravichandran G. Acta Mater. 51 (2003) 5941-5960
8. Soh A., Song Y., and Ni Y. J. Am. Ceram. Soc. 89 (2006) 652-661
9. Gurtin M.E. Physica D 92 (1996) 178-192
10. Gurtin M.E. Arch. Ration. Mech. Anal. 131 (1995) 67-100
11. Maugin G.A. Material Inhomogeneities in Elasticity (1993), Chapman & Hall
12. Kienzler R., and Herrmann G. Mechanics in Material Space with Applications in Defect and Fracture Mechanics (2000), Springer
13. R. Mueller, Configurational Forces in Defect Mechanics and in Computational Methods, Habilitation thesis, Institute of Mechanics, TU Darmstadt, Germany, ISBN 3-935868-13-8, 2005.
14. Goy O., Mueller R., and Gross D. J. Ther. Appl. Mech. 44 (2006) 819-836
15. Kamlah M. Continuum Mech. Thermodyn. 13 (2001) 219-268
16. Hughes T. The Finite Element Method (2000), Dover
17. Schrade D., Mueller R., Xu B.X., and Gross D. Comp. Meth. Appl. Mech. Eng. 196 (2007) 4365-4374
18. Ding H.J., and Chen W.Q. Three Dimensional Problems of Piezoelasticity (2001), Nova Science Publishers
19. "IEEE Std 176-1987, IEEE Standard on Piezoelectricity, IEEE Press, 1987.
20. Granzow T., Balke N., Lupascu D.C., and Roedel J. Appl. Phys. Lett. 87 (2005) 212901
21. T. Leist, Spannungsunterstuetztes Polen von PZT, diploma thesis, Material Science Department, TU Darmstadt, Darmstadt, Germany, 2006.
22. Elhadrouz M., Ben Zineb T., and Patoor E. Int. J. Eng. Sci 44 (2006) 996-1006
23. Shindo Y., Yoshida M., Narita F., and Horiguchi K. J. Mech. Phys. Solids 52 (2004) 1109-1124