Pattern formation in ferroelastic transitions

Phase Transitions

Volumn 77, Issue 5-7, 2004, Pages 457-467

  Ahluwalia, R ^a   Lookman, T ^a   Saxena, A ^a   Shenoy, S R ^b  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

Ferroelastic material; Strain fields; Structural transition

Indexed keywords

ANISOTROPY; FREE ENERGY; MICROSTRUCTURE; PARAMETER ESTIMATION; PHASE SEPARATION; PROBLEM SOLVING; STRAIN; STRUCTURAL ANALYSIS;

FERROELASTIC MATERIAL; PATTERN FORMATION; STRAIN FIELDS; STRUCTURAL TRANSITION;

PATTERN RECOGNITION;

EID: 11144290247     PISSN: 01411594     EISSN: None     Source Type: Journal    
DOI: 10.1080/01411590410001672620     Document Type: Article

References (20)

1. Bales, G.S. and Gooding, R.J. (1991). Interfacial dynamics at a 1st-order phase-transition involving strain-dynamic twin formation. Phys. Rev. Lett., 67, 3412.
2. Barsch, G.R. and Krumhansl, J.A. (1984). Twin boundaries in ferroelastic media without interface dislocations. Phys. Rev. Lett., 53, 1069.
3. Baus, M. and Lovett, R. (1990). Generalization of the stress tensor to nonuniform fluids and solids and its relation to Saint-Venant strain compatibility conditions. Phys, Rev. Lett., 65, 1781.
4. Baus, M. and Lovett, R. (1991). Reply. Phys. Rev. Lett., 67, 407.
5. Curnoe, S.H. and Jacobs, A.E. (2001). Statics and dynamics of domain patterns in hexagonal-orthorhombic ferroelastics. Phys. Rev. B, 63, 094110.
6. Jacobs, A.E., Curnoe, S.H. and Desai, R.C. (2003). Simulations of cubic-tetragonal ferroelastics. Phys. Rev. B, 68, 224104.
7. Kartha, S., Krumhansl, J.A., Sethna, J.P. and Wickham, L.K. (1995). Disorder-driven pretransitional tweed pattern in martensitic transformations. Phys. Rev. B, 52, 803.
8. Landau, L.D. and Lifshitz, E.M. (1982). Theory of Elasticity. Pergamon, Oxford.
9. Lookman, T., Shenoy, S.R., Rasmussen, K.Ø., Saxena, A. and Bishop, A.R. (2003). Ferroelastic dynamics and strain compatibility. Phys. Rev. B, 67, 024114.
10. Manolikas, C. and Amelinckx, S. (1980a). Phase-transitions in ferroelastic lead ortho-vanadate as observed by means of electron-microscopy and electron-diffraction. 2. Dynamic observations. Phys. Stat. Sol. (a), 60, 607.
11. Manolikas, C. and Amelinckx, S. (1980b). 1. Static observations, ibid., 61, 179.
12. Nishiyama, Z. (1978). Martensitic Transformations. Academic, New York.
13. Onuki, A. (2002). Phase Transition Dynamics. Cambridge University Press, Cambridge.
14. Otsuka, K. and Wayman, C.M. (Eds.) (1988). Shape Memory Materials. Cambridge University Press, Cambridge, UK.
15. Rasmussen, K.Ø., Lookman, T., Saxena, A., Bishop, A.R., Albers, R.C. and Shenoy, S.R. (2001). Three-dimensional elastic compatibility and varieties of twins in martensites. Phys. Rev. Lett., 87, 055704.
16. Salje, E.K.H. (1990). Phase Transformations in Ferroelastic and Co-elastic Solids. Cambridge University Press, Cambridge, UK.
17. Shenoy, S.R., Lookman, T., Saxena, A. and Bishop, A.R. (1999). Martensitic textures: multiscale consequences of elastic compatibility. Phys. Rev. B, 60, R12537.
18. Slonczewski, J.C. and Thomas, H. (1970). Interaction of elastic strain with structural transition of strontium titanate. Phys. Rev. B, 1, 3599.
19. Wadhawan, V.K. (2000). Introduction to Ferroic Materials. Gordon and Breach, Amsterdam.
20. Wen, Y.H., Wang, Y.Z. and Chen, L.Q. (2000). Phase-field simulation of domain structure evolution during a coherent hexagonal-to-orthorhombic transformation. Philos. Mag. A, 80, 1967.