MMAT 305 PHASE TRANSFORMATIONS IN SOLIDS
Spring 2008
| Catalog Data |
MMAT 305, Transformation in Alloys. 3 Credits. One three-hour lecture weekly. Thermodynamics, kinetics, and crystallography of phase transformations. Order-disorder transformations, shear transformations, precipitation reactions, higher order transformations. |
| Pre-requisites | No requisites although MMAT 301 Thermodynamics of Materials is strongly recommended. |
| Textbook | Phase Transformations in Metals and Alloys, by D. A. Porter and K.E. Easterling, Chapman and Hall, 3rd edition (1997), ISBN: 0412384000. |
| References | 1. Phase Transformations in Materials, ed.. G. Kostorz, Wiley, (2001), ISBN 3527302565, 2. Martensitic Transformations, Z. Nishiyama, Academic Press (1978), ISBN: 0125198507. 3. L. Guttman, Order-Disorder Phenomena in Metals, in Solid State Physics Vol. 3, F. Seitz and D. Turnbull ed., pp. 145-223 (1956). 4. J. W. Cahn, "On Spinodal Decomposition," Acta Metall. 9, 795 (1961). 5. J. W. Cahn, "Spinodal Decomposition," Trans. AIME 242, 166 (1968). 6. A.L. Roitburd and G.V. Kurdjumov, "The Nature of Martensitic Transformations," Mat. Sci. Eng. 39, 141 (1979). |
| Instructor | Pamir Alpay, Assistant Professor, Metallurgy and Materials Eng. Rm. 153, IMS, ph.: (860) 486-4621, e-mail: p.alpay@ims.uconn.edu |
| Office Hours | Monday, 13.00-15.00 |
| Goals | To provide a basic understanding of the thermodynamics and physics of phase transformations in solids, to provide the ability to predict the effects of various transformations on material properties in a wide variety of metal and ceramic systems, and to offer strategies to develop new material systems with interesting and potentially valuable transformation properties. |
| Lab Projects | None |
| Computer Use | At the discretion of student |
| ABET Cat. | Engineering Science, 3 credits (100%) |
| 1. | Basic Thermodynamic Principles |
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1.1. Basic thermodynamic relations 1.2. Phase transformations in single component systems 1.3. Chemical potential and binary systems 1.4. Phase diagrams 1.4.1. Special Topic: Theoretical determination of phase diagrams. 1.4.2. Special Topic: The Fe-C phase diagram 1.5. Classification of phase transformations in solids
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| 2. | Diffusion in Solids |
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2.1. Fundamental equations of diffusion 2.2. Interstitial diffusion 2.3. Einstein relation - atomic mobility 2.4. Substitutional diffusion (self-diffusion, vacancy diffusion, Darken relation) 2.5. Solutions to diffusion equations 2.6. Special Topics: Diffusion on high diffusivity paths, grain boundary diffusion, Fisher's solution, diffusion along dislocations.
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| 3. | Nucleation & Growth |
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3.1. Homogeneous nucleation - driving force 3.2. Homogeneous nucleation - nucleation rate 3.3. Heterogeneous nucleation 3.4. Nucleation in the solid state 3.5. Growth rate 3.5.1. 3-D nucleation and growth in an infinite medium 3.5.2. Special Topic: 2-D (lateral) nucleation and growth in an infinite medium 3.5.3. Special Topic: Kinetics of recrystallization 3.6. Kolmogorov- Johnson-Mehl-Avrami (KJMA) model 3.6.1. Special Topic: Shortcomings of the KJMA model; size effect; Cahn's Time Cone method. 3.6.2. Special Topic: Growth of thin films
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| 4. | Diffusional Nucleation and Growth |
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4.1. Determination of the driving force 4.2. Nucleation rate 4.3. Growth of a nuclei; Gibbs-Thompson effect 4.4. Coarsening; Lifshitz-Sluskov-Wagner relations 4.5. Eutectic Growth 4.6. Spinodal decomposition 4.6.1. Special Topic: Phase field approach 4.6.2. Special Topic: Effect of internal stresses; Wegert law
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| 5. | Martensitic Transformations |
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5.1. Thermodynamics 5.2. Crystallographic features, theory of invariant plane strain 5.3. Plate morphology and accommodation, polydomain structures 5.4. Kinetics 5.5. Special Topic: Shape memory effect 5.6. Special Topic: Superelasticity 5.7. Special Topic: Structural phase transformations in constrained media and epitaxial thin films; equilibrium microstructure and effect of external fields.
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| 6. | Higher Order Transformations |
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6.1. Order-disorder transformations 6.2. Landau Theory of phase transformations 6.3. Self-strain as order parameter 6.4. Ferroic phase transformations
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Eutectic
Systems with no Solubility |