The shift of Curie temperature and evolution of ferroelectric domain in ferroelectric crystals

Journal of the Mechanics and Physics of Solids

Volumn 53, Issue 9, 2005, Pages 2071-2099

  Su, Y ^a   Weng, G J ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

Curie temperature; Ferroelectric crystals; Irreversible thermodynamics; Micromechanics; Phase transition

Indexed keywords

BARIUM TITANATE; COMPOSITE MICROMECHANICS; CONCENTRATION (PROCESS); ELECTRIC FIELDS; ELECTRIC RESISTANCE; FERROELECTRICITY; GIBBS FREE ENERGY; PERMITTIVITY; PHASE TRANSITIONS; POLARIZATION; SINGLE CRYSTALS; TEMPERATURE DISTRIBUTION; THERMODYNAMIC PROPERTIES;

CURIE TEMPERATURE; FERROELECTRIC CRYSTALS; IRREVERSIBLE THERMODYNAMICS; PARAELECTRIC CRYSTALS;

FERROELECTRIC MATERIALS;

EID: 21844440078     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2005.03.008     Document Type: Article

References (55)

1. D.M. Barnett, and J. Lothe Dislocations and line charges in anisotropic piezoelectric insulators Phys. Stat. Sol. B67 1975 105 111
2. Y. Benveniste A new approach to the application of Mori-Tanaka theory in composite materials Mech. Mater. 6 1987 147 157
3. D. Berlincourt, and H. Jaffe Elastic and piezoelectric constants of single-crystal barium titanate Phys. Rev. 111 1958 143 148
4. E. Burcsu, G. Ravichandran, and K. Bhattacharya Large electrostrictive actuation of barium titanate single crystals J. Mech. Phys. Solids 52 2004 823 846
5. H. Cao, and A.G. Evans Nonlinear deformation of ferroelectric ceramics J. Am. Ceram. Soc. 76 1993 890 896
6. T. Chen Green's function and the non-uniform transformation problem in a piezoelectric medium Mech. Res. Commun. 20 1993 271 278
7. T. Chen, C.W. Nan, G.J. Weng, and G.X. Chen A unified approach for the estimate of effective magnetostriction of composites and polycrystals with particulate and columnar microstructures Phys. Rev. B 68 2003 224406
8. Deeg, W.F., 1980. The analysis of dislocation, crack and inclusion problems in piezoelectric solids. Ph.D. Dissertation, Stanford University, CA.
9. A.F. Devonshire Theory of barium titanate - Part I Philos. Mag. 40 1949 1040 1063
10. A.F. Devonshire Theory of barium titanate - Part II Philos. Mag. 42 1951 1065 1079
11. A.F. Devonshire Theory of ferroelectrics Philos. Mag. Suppl. (Adv. Phys.) 3 1954 85 130
12. M.L. Dunn Electroelastic Green's functions for transversely isotropic piezoelectric media and their application to the solution of inclusion and inhomogeneity problems Int. J. Eng. Sci. 32 1994 119 131
13. M.L. Dunn, and H.A. Wienecke Inclusions and inhomogeneities in transversely isotropic piezoelectric solids Int. J. Solids Struct. 34 1997 3571 3582
14. J.D. Eshelby The determination of the elastic field of an ellipsoidal inclusion, and related problems Proc. R. Soc. London A241 1957 376 396
15. Goswami, A.K., 1966. Theory on the effect of hydrostatic pressure on the permittivity and Curie point of single crystal barium titanate. J. Phys. Soc. Jpn. 21, 1037-1040.
16. J.A. Hooton, and W.J. Merz Etch patterns and ferroelectric domains in BaTiO 3 single crystals Phys. Rev. 98 1955 409 413
17. J.H. Huang, and J.S. Yu Electroelastic Eshelby's tensors for an ellipsoidal piezoelectric inclusion Compos. Eng. 4 1994 1169 1182
18. T. Ikeda Fundamentals of Piezoelectricity 1996 Oxford University Press Oxford
19. B. Jaffe, W.R. Cook, and H. Jaffe Piezoelectric Ceramics 1971 Academic Press London
20. F. Jona, and G. Shirane Ferroelectric Crystals 1993 Dover Publications Inc., New York
21. W. Kaenzig, and N. Maikoff Ist die seignette-elektrische 120 ° C -umwandlung von bariumtitanat erster order zweiter art? Helv. Phys. Acta. 24 1951 343 356
22. J. Li Orientation-dependent piezoelectric Eshelby S-tensor for a lamellar structure in a transversely isotropic medium Acta Mech. 162 2003 69 81
23. J.Y. Li, and M.L. Dunn Variational bounds for the effective moduli of heterogeneous piezoelectric solids Philos. Mag. A81 2001 903 926
24. J.Y. Li, and D. Liu On ferroelectric crystals with engineered domain configurations J. Mech. Phys. Solids 52 2004 1719 1742
25. J. Li, and G.J. Weng A theory of domain switch for the nonlinear behavior of ferroelectrics Proc. R. Soc. London A455 1999 3493 3511
26. J. Li, and G.J. Weng A micromechanics-based hysteresis model for ferroelectric ceramics J. Intell. Mater. Systems Struct. 12 2001 79 91
27. W.F. Li, and G.J. Weng A theory of ferroelectric hysteresis with a superimposed stress J. Appl. Phys. 91 2002 3806 3815
28. W.F. Li, and G.J. Weng A micromechanics-based thermodynamic model for the domain switch in ferroelectric crystals Acta Mater. 52 2004 2489 2496
29. Z.K. Lu, and G.J. Weng Martensitic transformation and stress-strain relations of shape-memory alloys J. Mech. Phys. Solids 45 1997 1905 1928
30. H.D. Megaw Ferroelectricity in Crystals 1957 Methuen London
31. W.J. Merz The electric and optical behavior of BaTiO 3 single-domain crystals Phys. Rev. 76 1949 1221 1225
32. W.J. Merz The effect of hydrostatic pressure on the Curie point of barium titanate single crystals Phys. Rev. 77 1950 52 54
33. W.J. Merz Domain properties in BaTiO 3 Phys. Rev. 88 1952 421 422
34. W.J. Merz Double hyeteresis loop of BaTiO 3 at the Curie point Phys. Rev. 91 1953 513 517
35. W.J. Merz Domain formation and domain wall motions in ferroelectric BaTiO 3 single crystals Phys. Rev. 95 1954 690 698
36. R.C. Miller, and G. Weinreich Mechanism for the sidewise motion of 180 ° domain walls in barium titanate Phys. Rev. 117 1960 1460 1466
37. T. Mori, and K. Tanaka Average stressing the matrix and average elastic energy of materials with misfitting inclusions Acta Metall. 21 1973 571 574
38. C.W. Nan Physics of inhomogeneous inorganic materials Progr. Mater. Sci. 37 1993 1 116
39. C.W. Nan, and G.J. Weng Influence of microstructural features on the effective magnetostriction of composite materials Phys. Rev. B 60 1999 6723 6730
40. C.W. Nan, and G.J. Weng Theoretical approach to effective electrostriction in inhomogeneous materials Phys. Rev. B 61 2000 258 265
41. J.F. Nye Physical Properties of Crystals 1979 Oxford University Press Oxford
42. J.R. Rice Continuum mechanics and thermodynamics of plasticity in relation to microscale deformation mechanisms A.S. Argon Constitutive Equations in Plasticity 1975 MIT Press Cambridge, MA 23 75
43. Y.C. Shu, and K. Bhattacharya Domain patterns and macroscopic behaviour of ferroelectric materials Philos. Mag. B 81 2001 2012 2054
44. J.C. Slater The Lorentz correction in barium titanate Phys. Rev. 78 1950 748 761
45. J.A. Stratton Electromagnetic Theory 1941 McGraw-Hill New York
46. Q.P. Sun, K.C. Hwang, and S.W. Yu A micromechanics constitutive model of transformation plasticity with shear and dilatation effect J. Mech. Phys. Solids 39 1991 507 524
47. Q.P. Sun, and K.C. Hwang Micromechanics modeling for the constitutive behavior of polycrystalline shape memory alloys - I. Derivation of general relations J. Mech. Phys. Solids 41 1993 1 17
48. Q.P. Sun, and K.C. Hwang Micromechanics modeling for the constitutive behavior of polycrystalline shape memory alloys - II. Studies of the individual phenomena J. Mech. Phys. Solids 41 1993 19 33
49. L.J. Walpole On the overall elastic moduli of composite materials J. Mech. Phys. Solids 17 1969 235 251
50. B. Wang Three dimensional analysis of an ellipsoidal inclusion in a piezoelectric material Int. J. Solid Struct. 29 1992 293 308
51. G.J. Weng Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions Int. J. Eng. Sci. 22 1984 845 856
52. G.J. Weng The theoretical connection between Mori-Tanaka's theory and the Hashin-Shtrikman-Walpole bounds Int. J. Eng. Sci. 28 1990 1110 1120
53. G.J. Weng Explicit evaluation of Willis' bounds with ellipsoidal inclusions Int. J. Eng. Sci. 30 1992 83 92
54. J.R. Willis Bounds and self-consistent estimates for overall properties of anisotropic composites J. Mech. Phys. Solids 25 1977 185 202
55. M. Zgonik, P. Bernasconi, M. Duelli, R. Schlesser, P. Günter, M.H. Garrett, D. Rytz, Y. Zhu, and X. Wu Dielectric, elastic, piezoelectric, electro-optic, and elasto-optic tensors of BaTiO 3 crystals Phys. Rev. B 50 1994 5941 5949