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3.21

Kinetic Processes in Materials

5-0-10 units · Graduate

Unified treatment of phenomenological and atomistic kinetic processes in materials. Provides the foundation for the advanced understanding of processing, microstructural evolution, and behavior for a broad spectrum of materials. Topics include irreversible thermodynamics; rate and transition state theory, diffusion; nucleation and phase transitions; continuous phase transitions; grain growth and coarsening; capillarity driven morphological evolution; and interface stability during phase transitions.

Spring 2006

This course presents a unified treatment of phenomenological and atomistic kinetic processes in materials. It provides the foundation for the advanced understanding of processing, microstructural evolution, and behavior for a broad spectrum of materials. The course emphasizes analysis and development of rigorous comprehension of fundamentals. Topics include: irreversible thermodynamics; diffusion; nucleation; phase transformations; fluid and heat transport; morphological instabilities; gas-solid, liquid-solid, and solid-solid reactions.

Readings

  • Balluffi, R. W., S. M. Allen, and W. C. Carter. Kinetics of Materials . New York, NY: John Wiley & Sons, 2005. ISBN: 9780471246893.
    Listed reading
  • This following table lists readings assigned for each lecture session, plus supplemental readings . Most assigned readings are from the course textbook: ↗
    Listed reading
  • [KoM] = Balluffi, R. W., S. M. Allen, and W. C. Carter. Kinetics of Materials . New York, NY: John Wiley & Sons, 2005. ISBN: 9780471246893.
    Listed reading
  • SES #: L1 · TOPICS: Introduction: Fields and Gradients; Fluxes; Continuity Equation · READINGS: KoM, chapter 1.
    Reading assignment
  • KoM, chapter 2.
    Listed reading
  • Christian, J. W. “Irreversible Thermodynamics.” In Theory of Transformations in Metals and Alloys, Part 1: Equilibrium and General Kinetic Theory . Kidlington, UK: Pergamon Press, 1975. ISBN: 9780080180311.
    Listed reading
  • Poirier, D. R., and G. H. Geiger. Transport Phenomena in Materials Processing . Warrendale, PA: Minerals, Metals & Materials Society, 1994. ISBN: 9780873392723. See pp. 185-189 and 281-282 on Heat Conduction, and pp. 417-434 on Diffusion.
    Listed reading
  • SES #: L4 · TOPICS: Interdiffusion; Effects of Electrical Potential, Capillarity, and Stress on Diffusion Potential · READINGS: KoM, sections 3.2-3.5.
    Reading assignment
  • SES #: L5 · TOPICS: Effects of Capillarity and Stress on Diffusion · READINGS: KoM, sections 3.4-3.5.
    Reading assignment
  • SES #: L6 · TOPICS: The Diffusion Equation · READINGS: KoM, sections 4.1-4.1.2 and 4.2.
    Reading assignment
  • SES #: L7 · TOPICS: Solutions to the Diffusion Equation - I · READINGS: KoM, sections 4.3-4.5.
    Reading assignment
  • SES #: L8 · TOPICS: Solutions to the Diffusion Equation - II · READINGS: KoM, sections 5.1-5.2.4.
    Reading assignment
  • SES #: L9 · TOPICS: Solutions to the Diffusion Equation - III · READINGS: KoM, sections 5.2.4-5.2.6.
    Reading assignment
  • SES #: L10 · TOPICS: Activated Jump Processes · READINGS: KoM, sections 7.1-7.1.2 and 7.2.
    Reading assignment
  • SES #: L11 · TOPICS: Diffusion Resulting from Discrete Jumps · READINGS: KoM, section 7.2.
    Reading assignment
  • SES #: L12 · TOPICS: Diffusion in Crystals · READINGS: KoM, sections 8.1-8.2.1.
    Reading assignment
  • Allen, S. M., and E. L. Thomas. “Point Imperfections in Ionic Crystals.” Section 5.1.6 in The Structure of Materials . 1999. ISBN: 9780471000822.
    Listed reading
  • SES #: L14 · TOPICS: Atomic Models for Diffusivities - II · READINGS: KoM, section 8.2.
    Reading assignment
  • SES #: L15 · TOPICS: Short-Circuit Diffusion in Crystals · READINGS: KoM, chapter 9.
    Reading assignment
  • SES #: L16 · TOPICS: Diffusion in Noncrystalline Materials · READINGS: KoM, chapter 10.
    Reading assignment
  • SES #: L17 · TOPICS: Surface Evolution Due to Capillary Forces · READINGS: KoM, section 14.1.
    Reading assignment
  • SES #: L18 · TOPICS: Particle Coarsening · READINGS: KoM, sections 15.1 and C.4.
    Reading assignment
  • SES #: L19 · TOPICS: Grain Growth · READINGS: KoM, sections 15.2 and 13.3.5.
    Reading assignment
  • SES #: L20 · TOPICS: Diverse Short Topics: Anisotropic Surfaces, Diffusional Creep, and Sintering · READINGS: KoM, sections 14.2, 16.1, 16.3, and C.3.
    Reading assignment
  • SES #: L21 · TOPICS: General Features of Phase Transformations · READINGS: KoM, chapter 17.
    Reading assignment
  • SES #: L22 · TOPICS: Spinodal Decomposition and Continuous Ordering · READINGS: KoM, chapter 18.
    Reading assignment
  • SES #: L23 · TOPICS: Spinodal Decomposition Kinetics · READINGS: KoM, chapter 18.
    Reading assignment
  • SES #: L24 · TOPICS: Nucleation · READINGS: KoM, chapter 19.
    Reading assignment
  • SES #: L25 · TOPICS: Heterogeneous Nucleation · READINGS: KoM, section 19.2.
    Reading assignment
  • SES #: L26 · TOPICS: Diffusional Growth · READINGS: KoM, chapter 20.
    Reading assignment
  • KoM, chapter 20.
    Listed reading
  • SES #: L28 · TOPICS: Kinetics of Nucleation and Growth Transformations · READINGS: KoM, chapter 21.
    Reading assignment
  • Students are encouraged to consult an applied math book as needed, such as: Hildebrand, F. B. Advanced Calculus for Applications . Upper Saddle River, NJ: Prentice-Hall, 1976.
    Listed reading
  • Balluffi, R. W. “In Pursuit of the Lattice Vacancy.” MRS Bulletin (February 1991): 23-28.
    Listed reading

Prerequisites & course information

Prereq: 3.030 , 3.044 , ( 3.010 and 3.020 ), or permission of instructor G (Spring) Not offered regularly; consult department 5-0-10 units

Sources