Kinetics of Diffusional Phase Transformation in Multicomponent Elastic-Plastic Materials

[+] Author and Article Information
F. D. Fischer

Institute of Mechanics, Montanuniversität Leoben, Franz-Josef-Strasse 18, A-8700 Leoben, Austria Erich Schmid Institute for Materials Science, Austrian Academy of Sciences, Jahnstrasse 12, A-8700 Leoben, Austria

N. K. Simha

Department of Mechanical Engineering, University of Miami, P.O. Box 248294, Coral Gables, FL 33124-0624

J. Svoboda

Institute of Physics of Materials, Academy of Sciences of the Czech Republic, Žižkova 22, CZ-616 62, Brno, Czech Republic

J. Eng. Mater. Technol 125(3), 266-276 (Jul 10, 2003) (11 pages) doi:10.1115/1.1586939 History: Received April 19, 2002; Revised April 17, 2003; Online July 10, 2003
Copyright © 2003 by ASME
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Kostorz, G., 2001, Phase Transformations in Materials, Wiley-VCH, New York.
Fischer, F. D., 2001, “Elastoplasticity Coupled With Phase Changes,” Handbook of Materials Behavior Models, J. Lemaitre, ed., Academic Press, San Diego, USA, pp. 905–914, Chap. 9.13.
Gamsjäger,  E., Chimani,  C. M., Fischer,  F. D., and Svoboda,  J., 2001, “Diffusional Phase Diffusional Phase Transformation in Steel—Theory and Application to Continuous Casting,” J. Phys. IV France, 11, Pr4-149–Pr4-156.
Hillert,  M., 1975, “Diffusion and Interface Control of Reactions in Alloys,” Metall. Trans. A, 6, pp. 5–19.
Svoboda,  J., Fischer,  F. D., and Gamsjäger,  E., 2002, “Influence of Solute Segregation and Drag on Properties of Migrating Interfaces,” Acta Mater., 50, pp. 967–977.
Svoboda,  J., Fischer,  F. D., Fratzl,  P., and Kroupa,  A., 2002, “Diffusion in Multi-Component Systems With No or Dense Sources and Sinks for Vacancies,” Acta Mater., 50, pp. 1369–1381.
Petri,  M. C., and Dayananda,  M. A., 1997, “Vacancy Wind Contributions to Intrinsic Diffusion,” Philos. Mag. A, 76, pp. 1169–1185.
Svoboda, J., Fischer, F. D., and Gamsjäger, E., 2003, “Application of the Thermo-Dynamic Extremal Principle to the Diffusional Phase Transformation,” Acta Mater., in press.
Kozeschnik, E., and Buchmayr, B., 2001, “Matcalc—A Simulation Tool for Multicomponent Thermodynamics, Diffusion and Phase Transformations,” in Mathematical Modelling of Weld Phenomena 5, H. Cerjak, edt., IOM Communications Ltd, London, Book 738, pp. 349–361.
Hillert,  M., 1999, “Solute Drag, Solute Trapping and Diffusional Dissipation of Gibbs Energy,” Acta Mater., 47, pp. 4481–4505.
Mullins,  W. W., and Sekerka,  R. F., 1985, “On the Thermodynamics of Crystalline Solids,” J. Chem. Phys., 82, pp. 5192–5202.
Ghosh,  G., and Olson,  G. B., 2001, “Simulation of Paraequilibrium Growth in Multicomponent Systems,” Metall. Trans. A, 32A, pp. 455–467.
Fischer,  F. D., Sun,  Q.-P., and Tanaka,  K., 1996, “Transformation-Induced Plasticity (TRIP),” Appl. Mech. Rev., 49, pp. 317–364.
Berveiller, M., and Fischer, F. D., 1997, Mechanics of Solids With Phase Changes, CISM Courses and Lectures No. 368, Springer-Verlag, New York, p. 317.
Gurtin,  M. E., 1991, “On the Thermomechanical Laws for the Motion of a Phase Interface,” J. Appl. Math. Phys. (ZAMP) ,42, pp. 370–388.
Gurtin,  M. E., and Voorhees,  P., 1993, “The Continuum Mechanics of Coherent Two-Phase Elastic Solids With Mass Transport,” Proc. R. Soc. London, Ser. A, 440, pp. 323–343.
Fried,  E., and Gurtin,  M. E., 1999, “Coherent Solid-State Phase Transitions With Atomic Diffusion: A Thermomechanical Treatment,” J. Stat. Phys., 95, pp. 1361–1427.
Levitas,  V. I., 2000, “Thermomechanical and Kinetic Approaches to Diffusional—Displacive Phase Transitions in Inelastic Materials,” Mech. Res. Commun., 27, pp. 217–227.
Levitas,  V. I., 2000, “Structural Changes Without Stable Intermediate State in Inelastic Material. Part I. General Thermomechanical and Kinetic Approaches, and Part II. Applications to Displacive and Diffusional-Displacive Phase Transformations, Strain-Induced Chemical Reactions and Ductile Fracture,” Int. J. Plast., 16, pp. 805–849, 851–892.
Lufrano,  J., Sofranis,  P., and Birnbaum,  M. K., 1998, “Elastoplastically Accommodated Hydride Formation and Embrittlement,” J. Mech. Phys. Solids, 46, pp. 1497–1520.
Fratzl,  P., Penrose,  O., and Lebowitz,  J. L., 1999, “Modeling of Phase Separation in Alloys With Coherent Elastic Misfit,” J. Stat. Phys., 95, pp. 1429–1503.
Fischer,  F. D., and Reisner,  G., 1998, “A Criterion for the Martensitic Transformation of a Microregion in an Elastic-Plastic Material,” Acta Mater., 46, pp. 2095–2102.
Simha,  N. K., and Bhattacharya,  K., 1998, “Kinetics of Phase Boundaries With Edges and Junctions,” J. Mech. Phys. Solids, 46, pp. 2323–2359.
Levitas,  V. I., 1998, “Thermomechanical Theory of Martensitic Phase Transformations in Inelastic Materials,” Int. J. Solids Struct., 35, pp. 889–940.
Gurtin,  M. E., and Jabbour,  M. E., 2002, “Interface Evolution in Three Dimensions With Curvature-Dependent Energy and Surface Diffusion: Interface-Controlled Evolution, Phase Transitions, Epitaxial Growth of Elastic Films,” Arch. Ration. Mech. Anal., 163, pp. 171–208.
Svoboda,  J., Fischer,  F. D., Fratzl,  P., Gamsjäger,  E., and Simha,  N. K., 2001, “Kinetics of Interfaces During Diffusional Transformations,” Acta Mater., 49, pp. 1249–1259.
Fischer,  F. D., and Oberaigner,  E. R., 2000, “Deformation, Stress State and Thermodynamic Force for a Transforming Spherical Inclusion in an Elastic-Plastic Material,” ASME J. Appl. Mech., 67, pp. 793–796.
Fischer,  F. D., and Oberaigner,  E. R., 2001, “A Micromechanical Model of Interphase Boundary Movement During Solid-Solid Phase Transformations,” Arch. Appl. Mech., 71, pp. 193–205.
Lehner, F. K., 1990, “Thermodynamics of Rock Deformation by Pressure Solution,” in Deformation Processes in Minerals, Ceramics and Rocks, D. J. Barber and P. G. Meredith, eds., Unwin Hyman, London et al., pp. 296–333, Chpt. 11.
Gurtin,  M. E., 1993, “The Dynamics of Solid-Solid Phase Transitions—1: Coherent Interfaces,” Arch. Ration. Mech. Anal., 123, pp. 305–335.
Cermelli,  P., and Gurtin,  M. E., 1994, “The Dynamics of Solid-Solid Phase Transitions—2: Incoherent Interfaces,” Arch. Ration. Mech. Anal., 127, pp. 41–99.
Morland,  L. W., and Gray,  J. M. N. T., 1995, “Phase Change Interactions and Singular Fronts,” Continuum Mech. Thermodyn., 7, pp. 387–414.
Cocks, A. C. F., Gill, S. P. A., and Pan, J., 1999, “Modeling Microstructure Evolution in Engineering Materials,” in Advances in Applied Mechanics, E. V. D. Giessen and T. Y. Wu, eds., 36 , pp. 81–162.
Maugin, G. A., 1999, “Waves and Reaction-Diffusion Systems,” in The Thermomechanics of Nonlinear Irreversible Behaviors, World Scientific, Singapore et al., pp. 295–323, Chpt. 10.
Grinfeld, M., 1991, Thermodynamic Methods in the Theory of Heterogeneous Systems, Longman Scientific & Technical, Harlow.


Grahic Jump Location
Example of macro-meso-micro connections demonstrated by the continuous casting process
Grahic Jump Location
Connection between the specimen and the Representative Volume Element (RVE); definition of mechanical and topological quantities




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