On phase field modeling of ferroelectrics: Parameter identification and verification

Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS2008

Volumn 1, Issue , 2008, Pages 299-306

  Schrade, David ^a   Xu, Bai Xiang ^a   Müller, Ralf ^a   Gross, Dietmar ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

GINZBURG-LANDAU; IMPLICIT TIME INTEGRATION; MICROMECHANICAL MODEL; NONLINEAR EVOLUTIONS; ORDER PARAMETER; PARAMETER IDENTIFICATION; PHASE FIELD PARAMETERS; PHASE FIELDS; PHASE-FIELD MODELING; PHYSICAL MEANINGS; SPONTANEOUS POLARIZATIONS; TYPE THEORY;

FINITE ELEMENT METHOD; INTELLIGENT MATERIALS; INTELLIGENT SYSTEMS;

FERROELECTRIC MATERIALS;

EID: 78149363345     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/SMASIS2008-411     Document Type: Conference Paper

References (23)

1. Theissmann, R., Schmitt, L., Kling, J., Schierholz, R., Schönau, K., and Fuess, H., 2007. "Nanodomains in morphotropic lead zirconate titanate ceramics: On the origin of the strong piezoelectric effect". J. Appl. Phys., 102, p. 024111.
2. 3 ceramics". J. Appl. Phys., 101, p. 074107.
3. McCormack, M., Khachaturyan, A. G., and Morris, J. W., 1992. "A two-dimensional analysis of the evolution of coherent precipitate in elastic media". Acta metall. mater., 40(2), pp. 325-336.
4. Wang, Y., Chen, L., and Khachaturyan, A. G., 1993. "Kinetics of strain-induced morphological transformation in cubic alloys with a miscibility gap". Acta metall. mater., 41(1), pp. 279-296. (Pubitemid 23606219)
5. Müller, W. H., 1998. Zur Simulation des Mikroverhaltens thermo-mechanisch fehlgepasster Verbundwerkstoffe. Fortschritt-Berichte VDI, Reihe 18, Nr.234, Düsseldorf.
6. Cao, W., and Cross, L., 1991. "Theory of tetragonal twin structures in ferroelectric perovskites with a first-order phase transition". Phys. Rev. B, 44(1), pp. 5-12.
7. Ahluwalja, R., and Cao, W., 2000. "Influence of dipolar defects on switching behavior in ferroelectrics". Phys. Rev. B, 63(012103).
8. Ahluwalja, R., and Cao, W., 2001. "Size dependence of domain patterns in a constrained ferroelectric system". J. Appl. Phys., 89(12), pp. 8105-8109.
9. Wang, J., Shi, S.-Q., Chen, L.-Q., Li, Y., and Zhang, T.-Y., 2004. "Phase field simulations of ferroelectric/ferroelastic polarization switching". Acta mater., 52, pp. 749-764.
10. Xiao, Y., Shenoy, V., and Bhattacharya, K., 2005. "Depletion layers and domain walls in semiconducting ferroelectric thin films". Phys. Rev. Lett., 95(247603).
11. Zhang, W., and Bhattacharya, K., 2005. "A computational model of ferroelectric domains. Part I: model formulation and domain switching". Acta mater., 53, pp. 185-198.
12. Zhang, W., and Bhattacharya, K., 2005. "A computational model of ferroelectric domains. Part II: grain boundaries and defect pinning". Acta mater., 53, pp. 199-209.
13. Su, Y., and Landis, C., 2006. "A non-equlibrium thermodynamics framework for domain evolution; phase field models and finite element implementation". Proceeding to the SPIE.
14. 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. Sol., 55, pp. 280-305.
15. Bhattacharya, K., and Ravichandran, G., 2003. "Ferroelectric perovskites for electromechanical actuation". Acta Mater., 51, pp. 5941-5960.
16. Soh, A., Song, Y., and Ni, Y., 2006. "Phase field simualtions of hysteresis and butterfly loops in ferroelectrics subjected to electro-mechanical coupled loading". J. Am. Ceram. Soc., 89, pp. 652-661.
17. Wang, J., and Zhang, T.-Y., 2006. "Effect of long-range elastic interactions on the toroidal moment of polarization in a ferroelectric nanoparticle". Appl. Phys. Letters, 88(182904).
18. Wang, J., and Zhang, T.-Y., 2006. "Size effects in epitaxial ferroelectric islands and thin films". Phys. Rev. B, 73(144107).
19. Huber, J., and Fleck, N., 2001. "Multi-axial electrical switching of a ferroelectric: theory versus experiment". JMPS, 49, pp. 785-811.
20. Schrade, D., Mueller, R., Gross, D., Utschig, T., Shur, V., and Lupascu, D., 2007. "Interaction of domain walls with defects in ferroelectric materials". Mechanics of Materials, 39, pp. 161-174.
21. Schrade, D., Mueller, R., Xu, B., and Gross, D., 2007. "Domain evolution in ferroelectric materials: A continuum phase field model and finite element implementation". Comp. Meth. Appl. Mech. Eng., 196(41-44), pp. 4365-4374.
22. Cahn, J. W., and Hilliard, J. E., 1958. "Free energy of a nonuniform system. I. Interfacial free energy". J. Chem. Phys., 28(2), pp. 258-267.
23. Hughes, T., 2000. The Finite Element Method. Dover, Mineola, New York.