The goal of this paper is to derive a micromechanics framework to study the kinetics of transformation due to interface migration in elastic-plastic materials. Both coherent and incoherent interfaces as well as interstitial and substitutional atomic diffusion are considered, and diffusional transformations are contrasted with martensitic ones. Assuming the same dissipation for the rearrangement of all substitutional components and no dissipation due to diffusion in an interface in the case of a multicomponent diffusional transformation, we show that the chemical driving force of the interface motion is represented by the jump in the chemical potential of the lattice forming constituent. Next, the mechanical driving force is shown to have the same form for both coherent and frictionless (sliding) interfaces in an elastic-plastic material. Using micromechanics arguments we show that the dissipation and consequently the average mechanical driving force at the interface due to transformation in a microregion can be estimated in terms of the bulk fields. By combining the chemical and mechanical parts, we obtain the kinetic equation for the volume fraction of the transformed phase due to a multicomponent diffusional transformation. Finally, the communication between individual microregions and the macroscale is expressed by proper parameters and initial as well as boundary conditions. This concept can be implemented into standard frameworks of computational mechanics.
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July 2003
Technical Papers
Kinetics of Diffusional Phase Transformation in Multicomponent Elastic-Plastic Materials
F. D. Fischer,
F. D. Fischer
Institute of Mechanics, Montanuniversita¨t 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
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N. K. Simha,
N. K. Simha
Department of Mechanical Engineering, University of Miami, P.O. Box 248294, Coral Gables, FL 33124-0624
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J. Svoboda
J. Svoboda
Institute of Physics of Materials, Academy of Sciences of the Czech Republic, Zˇizˇkova 22, CZ-616 62, Brno, Czech Republic
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F. D. Fischer
Institute of Mechanics, Montanuniversita¨t 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, Zˇizˇkova 22, CZ-616 62, Brno, Czech Republic
Contributed by the Materials Division for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received by the Materials Division April 19, 2002; revision received April 17, 2003. Associate Editor: D. McDowell.
J. Eng. Mater. Technol. Jul 2003, 125(3): 266-276 (11 pages)
Published Online: July 10, 2003
Article history
Received:
April 19, 2002
Revised:
April 17, 2003
Online:
July 10, 2003
Citation
Fischer, F. D., Simha, N. K., and Svoboda, J. (July 10, 2003). "Kinetics of Diffusional Phase Transformation in Multicomponent Elastic-Plastic Materials ." ASME. J. Eng. Mater. Technol. July 2003; 125(3): 266–276. https://doi.org/10.1115/1.1586939
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