Publication Cover
Phase Transitions
A Multinational Journal
Volume 48, 1994 - Issue 1-3
47
Views
18
CrossRef citations to date
0
Altmetric
Original Articles

Strain-related microstructures in materials: A computer simulation study of a simple model

, , &
Pages 15-45 | Published online: 19 Aug 2006

References

  • Aizu , K. 1970 . Deformination of state parameters and formulation of spontaneous strain for ferroelastics . J. Phys. Soc. Jap. , 328 : 706
  • Barsch , G. R. and Krumhansl , J. A. 1984 . Twin boundaries in ferroelastic media without interface dislocations . Phys. Rev. Lett. , 53 : 1069
  • Barsch , G. R. and Krumhansl , J. A. 1988 . Nonlinear and nonlocal continuum model of transformation precursors in martensites . Met. Trans. , 19A : 761
  • Bilby , B. A. and Christian , J. W. 1956 . The Mechanism of Phase Transformations in Metals , London : Inst. of Metals .
  • Bismayer , U. and Salje , E. 1981 . Ferroelastic phases in Pb3(PO4)2-Pb3(AsO4)2 X-ray and optical experiments . Acta. Cryst. , A37 : 145
  • Bismayer , U. , Salje , E. and Joffrin , C. 1982 . Reinvestigation of the stepwise character of the ferroelastic phase transition in lead phosphate-arsenate, Pb3(PO4)2-Pb3(AsO4)2 . J. Physique , 43 : 1379
  • Bratkovsky , A. , Salje , E. , Marais , S. and Heine , V. 1993 . Theory of fluctuations and texture embryos in structural phase transitions mediated by strain . J. Phys. Condens. Matter , (in preparation)
  • Bratkovsky , A. M. , Salje , E. , Marais , S. C. and Heine , V. 1993 . Theory and computer simulation of tweed texture . Phase Trans , (in press)
  • Bratkovsky , A. M. , Salje , E. and Heine , V. 1993 . Theory and simulation of the origin, form and coarsening of tweed texture . Europhys. Lett. , in preparation
  • Christian , J. W. 1965 . The Theory of Phase Transformations in Metals and Alloys , Oxford : Pergamon Press .
  • Christian , J. W. 1990 . Analysis of lattice and shape deformations and of atomic shuffles in martensitic-transformation . Mat. Sci. Eng. , A127 : 215
  • Clapp , P. C. 1990 . The critical role of defects in 1st-order displacive transformations . Mat. Sci. Eng. , A127 : 189
  • Cook , H. E. and de Fontaine , D. D. 1969 . On the elastic free energy of Solid solutions I. microscopic theory . Acta. Met. , 17 : 915
  • Cowley , R. A. 1976 . Acoustic phonon instabilities and structural phase transitions . Phys. Rev. , B13 : 4877
  • Cross , L. E. 1987 . Relaxor ferroelectrics . Ferroelectrics , 76 : 241
  • Dattagupta , S. , Heine , V. , Marais , S. and Salje , E. 1991 . Rate equation for atomic ordering in mean field theory I: uniform case . J. Phys. Cond. Matter , 3 : 2963
  • Dove , M. T. and Powell , B. M. 1989 . Neutron-diffraction study of the tricritical orientational order-disorder phase-transition in calcite at 1260-K . Phys. Chem. Min. , 16 : 503
  • Dove , M. T. , Giddy , A. P. and Heine , V. 1993 . Rigid unit modes of displacive phase transitions in framework silicates . Trans. Amer. Crystal. Assoc. , 27 in press
  • Finlayson , T. R. 1988 . Pretransformation phenomena as revealed by elastic-waves . Phys. Metall. Mater. Sci. , 19A : 185
  • Fleury , P. A. , Scott , J. F. and Worlock , J. M. 1968 . Critical dynamics of elastic phase transitions . Phys. Rev. Lett. , 21 : 16
  • Folk , F. , Iro , H. and Schwabl , I. 1979 . Critical dynamics of elastic phase transitions . Phys. Rev. , B20 : 1229
  • Ginzburg , V. L. and Landau , L. D. 1950 . On the theory of superconductivity . Zh. Eksp. Theor. Fiz. , 20 : 1064
  • Gooding , R. J. 1990 . Anharmonicity and martensitic instabilities in beta-cubic structures . Mat. Sc. Eng. , A127 : 183
  • Gridnev , S. A. , Shuvalov , L. A. and Bondarenko , V. V. 1985 . Study of ferroelectric phases that intermediate between alpha and beta ones in NaH3(SeO3)2 crystal . Sov. Phys. Sol. State , 27 : 283
  • Gunton , J. D. , Gawlinski , E. T. , Chakrabarti , A. and Kaski , H. 1988 . Numerical simulation of models of ordering — scaling and growth laws . J. Appl. Crystallogr. , 21 : 811
  • Harris , M. J. , Salje , E. , Guttler , B. K. and Carpenter , M. A. 1989 . Determination of the degree of Al,Si order Q od in kinetically disordered albite using hard mode infrared spectroscopy . Phys. Chem. Min. , 16 : 649
  • Khatchaturyan , A. G. 1966 . Some questions of the theory of phase transformation in solids . Fiz. Tverd. Tela (Leningrad) , 8 : 2709
  • Khatchaturyan , A. G. 1983 . Theory of Structural Transformations in Solids , New York : Wiley .
  • Knorr , K. , Loidl , A. and Kyems , J. K. 1986 . Ferroelastic transition in KBr-KCN studied by neutrons, X-rays and ultrasonics . Physica , B136 : 311
  • Krekels , T. , Van Tendeloo , G. , Broddin , D. , Amelinckx , S. , Tanner , L. , Mekbod , M. , Vanlathem , E. and Deltour , R. 1991 . Tweed Structure of Fe-doped YBa2Cu3O7-δ . Physica , C173 : 361
  • Kriven , W. M. 1990 . Martensitic toughening of ceramics . Mat. Sci. Eng. , A127 : 249
  • Kroll , H. and Ribbe , P. H. 1987 . Determining (Al, Si) distribution and strain in alkali feldspars using lattice-parameters and diffraction-peak positions — a review . Am. Min. , 72 : 491
  • Krumhansl , J. A. and Yamada , Y. 1990 . Some new aspects of 1st-order displacive phase-transformations — martensites . Mat. Sc. Eng. , A127 : 167
  • Lynden-Bell , R. M. , Ferrario , M. , McDonald , I. R. and Salje , E. 1990 . A molecular dynamics study of orientational disordering in crystalline sodium nitrate . J. Phys. Condens. Matter , 1 : 6523
  • Maeda , M. 1988 . Elastic, dielelectric and optical-properties of ferroelectric betaine arsenate . J. Phys. Soc. Jap. , 57 : 2162
  • Marais , S. , Heine , V. , Nex , C. and Salje , E. 1991 . Phenomena due to strain coupling in phase transitions . Phys. Rev. Lett. , 66 : 2480
  • Marais , S. and Salje , E. 1991 . Derivation of a rate law for non-uniform systems and continuous order parameters . J. Phys. Cond. Matter , 3 : 3667
  • Marais , S. , Bratkovsky , A. , Heine , V. and Salje , E. 1993 . Strain coupling as the dominant interaction in structural phase transitions . Phys. Rev., B , (in preparation)
  • Mayer , A. P. and Cowley , R. A. 1988 . The influence of random stresses on the scattering of a crystal with a planar elastic instability . J. Phys. , C21 : 483
  • Mayer-Botzel , H. and Wagner , H. 1988 . Hydrogen density modes and coherent phase transition in NbHx . Z. Physik , B72 : 101
  • McLaren , A. C. and Fitzgerald , J. D. 1987 . Cbed and Alchemi investigation of local symmetry and Al,Si ordering K-feldspars . Phys. Chem. Min. , 14 : 281
  • Negita , K. 1989 . Lattice-vibrations and cubic to tetragonal phase- transition in ZrO2 . Acta. Metall. , 37 : 313
  • Nord , G. L. and Lawson , C. A. 1989 . Order-disorder transition induced twin domains and magnetic-properties in ilmenite-hematite . Am. Min. , 74 : 160
  • Orgzall , I. and Lorenz , B. 1990 . Computer-simulation of cluster-size distributions in nucleation and growth-processes . Acta. Metall. , 36 : 627
  • Palmer , D. C. and Salje , E. 1990 . Phase transitions in leucite: Dielectric properties and transition mechanism . Phys. Chem. Min. , 17 : 9
  • Palmer , D. C. , Putnis , A. and Salje , E. 1988 . Twinning in tetragonal leucite . Phys. Chem. Min. , 16 : 298
  • Parlinski , K. , Salje , E. and Heine , V. 1993 . Annealing of tweed microstructure in high-T c superconductors studied by computer simulation . Acta. Metall. Mater. , 41 : 839
  • Parlinski , K. , Heine , V. and Salje , E. 1993 . Origin of tweed texture in the simulation of a cuprate superconductor . J. Phys. Condens. Matter , 5 : 497
  • Plakida , N. M. and Saleyeva , W. 1988 . The improper ferroelastic phase-transition in superionic Rb3h(SeO4)2 crystals . Phys. Stat. Sol. , B148 : 473
  • Powell , B. M. and Gerlach , P. N. 1989 . Soft-mode transition in the ferroelastic crystal K2Hg(Cn)4 . Phys. Rev. , B40 : 2426
  • Putnis , A. , Salje , E. , Redfern , S. A. T. , Fyfe , C. A. and Stroble , H. 1987 . Structural states of Mg cordierite I: order parameter from synchrotron X-ray and NMR data . Phys. Chem. Min. , 14 : 446
  • Redfern , S. A. T. , Graeme-Barber , A. and Salje , E. 1988 . Thermodynamics of plagioclase III: spontaneous strain at the I1–P1 phase transition in Ca-rich plagioclase . Phys. Chem. Min. , 16 : 157
  • Ribbe , P. H. 1983 . Feldspar mineralogy . Rev. Min. Soc. Am. , 2 : 1
  • Salje , E. 1987 . Structural states of Mg cordierite II: Landau theory . Phys. Chem. Min. , 14 : 455
  • Salje , E. 1988 . Kinetic rate laws as derived from order parameter theory I: theoretical concepts . Phys. Chem. Min. , 15 : 336
  • Salje , E. 1990 . Phase transitions in ferroelastic and co-elastic crystals . Ferroelectrics , 104 : 111
  • Salje , E. 1991 . Crystallography and structural phase transitions, an introduction . Acta. Cryst. , A47 : 453
  • Salje , E. 1992a . Phase transitions in minerals: from equilibrium properties towards kinetic behaviour . Berichte der Bunsengesellschaft fur physikalische Chemie , 96 : 1518
  • Salje , E. 1992b . Application of Landau theory for the analysis of phase transitions in minerals . Physics Reports , 215 : 49
  • Salje , E. 1993 . Phase Transitions in Ferroelastic and Co-Elastic Crystals , Cambridge , , UK : Cambridge University Press .
  • Salje , E. and Wruck , B. 1983 . Specific heat measurements and critical exponents of the ferroelastic phase transition in Pb3(PO4)2 and Pb3(PxAs1-xO4)2 . Phys. Rev. , 28 : 6510
  • Salje , E. , Graeme-Barber , A. , Carpenter , M. A. and Bismayer , U. 1993 . Lattice parameters, spontaneous strain and phase transitions in Pb3(PO4)2 . Acta Cryst. , in print
  • Salje , E. , Ridgwell , A. , Guttler , B. , Wruck , B. , Dove , M. T. and Dolino , G. 1992 . On the displacive character of the phase transition in quartz: A hard mode spectroscopy study . J. Phys. Conden. Matter. , 4 : 571
  • Salje , E. , Palosz , B. and Wruck , B. 1987 . In-situ observation of the polytypic phase transition 2H-12R in PbI2: investigation of the thermodynamic structural and dielectric properties . J. Phys. Condens. Matter , 20 : 4077
  • Salje , E. and Parlinski , K. 1991 . Microstructures in the high-T c Superconductors . Supercond. Sc. Techn. , 4 : 93
  • Salje , E. and Marais , S. 1992 . On the correlation between local potentials and the thermodynamic/kinetic behaviour of ferroelectrics . Ferroelectrics , 136 : 1
  • Salje , E. and Bismayer , U. 1989 . Order parameter behaviour in the relax or ferroelastic lead scandium tantalate . J. Phys. Condens. Matter , 1 : 6967
  • Salje , E. , Devarajan , V. , Bismayer , U. and Guimaraes , D. M. C. 1983 . Phase transitions in Pb3(P1-xAsxO4)2: influence of the central peak and flip mode on the Raman scattering of hard modes . J. Phys , C16 : 5233
  • Sapriel , J. 1975 . Domain wall orientation in ferroelastics . Phys. Rev. , B12 : 5128
  • Schmahl , W. W. , Putnis , A. , Salje , E. , Freemann , P. , Graeme-Barker , A. , Jones , R. , Singh , K. K. , Blunt , J. , Edwards , P. P. , Loram , J. and Mirza , K. 1989 . Twin formation and structural modulations in orthorhombic and tetragonal YBa2(Cu1-xCox)3O7-δ . Phil. Mag. Lett. , 60 : 241
  • Silverstein , A. and Clapp , P. C. 1988 . Modeling and interpretation of tweed microstructures in face-centered-cubic solids . Phys. Rev. , B38 : 9555
  • Tanner , L. E. and Wuttig , M. 1990 . Workshop on 1st-order displacive phase-transformations — review and recommendations . Mat. Sci. Eng. , A127 : 137
  • Tautz , F. S. , Heine , V. , Dove , M. T. and Chen , X. 1991 . Rigid unit modes in the molecular dynamics simulation of quartz and the incommensurate phase transition . Phys. Chem. Min. , 18 : 326
  • Van Tendeloo , G. , Ghose , S. and Amelinckx , S. 1989 . A dynamical model for the P1–I1 phase-transition in anorthite, CaAl2Si2O8l. Evidence from electron-microscopy . Phys. Chem. Min. , 16 : 311
  • Wadhawan , K. K. 1982 . Ferroelasticity and related properties of crystals . Phase Trans. , 3 : 3
  • Wagner , H. 1988 . Hydrogen in Metals , Heidelberg : Springer .
  • Weber , H. P. , Topfield , B. C. and Liabo , P. F. 1975 . Ferroelastic behaviour and the monoclinic-to-orthorhombic phase transition in MP5O14 (M = La – Tb) . Phys. Rev. , B11 : 1152
  • Wen , S. H. , Khatchaturyan , A. G. and Morris , J. W. 1981 . Computer simulation of a “tweed-transformation” in an idealized elastic crystal . Met. Trans. , A12 : 581
  • Wruck , B. , Salje , E. and Graeme-Barber , A. 1991 . Kinetic rate laws derived from order parameter theory IV: Kinetics of Al-Si disordering in Na- feldspars . Phys. Chem. Min. , 17 : 700

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.