2016 Phase Stability and Transformations in Metals

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Academic unit or major
Metallurgical Engineering
Kajihara Masanori  Takayama Masao 
Class Format
Media-enhanced courses
Day/Period(Room No.)
Mon9-10(S8-101,)  Thr9-10(S8-101,)  
Course number
Academic year
Offered quarter
Syllabus updated
Lecture notes updated
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Course description and aims

Mechanical and physical properties of metals and alloys are governed by microstructure, rather than chemical compositions. In this lecture, fundamentals of microstructural metallurgy are given based on thermodynamics and kinetics. Fist half of this lecture is focused on phase equilibria and phase stability in terms of enthalpy and entropy, and second half is focused on microstructure formation based on diffusional phase transformations in terms of FIck's laws. Students thus can describe and evaluate mathematically how the microstructure is formed and controlled.

Student learning outcomes

Describe and explain mathematically the phase stability and phase equilibria of the phases present in metals and alloys. In addition, describe and explain mathematically the microstructure change based on Fick's firsst and second laws.


Phase stability, microstructure changes, equilibrium thermodynamics, Fick's fist and second laws

Competencies that will be developed

Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills

Class flow

interactive lectures, together with quiz

Course schedule/Required learning

  Course schedule Required learning
Class 1 Phase stability and Internal Energy
Class 2 Enthalpy and Entropy
Class 3 Free energy of alloys (Ideal solution, regular solution)
Class 4 Free energy and phase diagrams
Class 5 Homogeneous nucleation and heterogeneous nucleation
Class 6 Spinodal decomposition
Class 7 Precipitation reactions
Class 8 intermediate examination intermediate examination
Class 9 Fick's first and second laws
Class 10 Solution of diffusional equations
Class 11 Solution method of variable separation
Class 12 Boltzmann-Matano method
Class 13 Solution method of Darken's eqiation
Class 14 Interfacial migration of diffusional transformations
Class 15 Interface migration and precipitation reactions



Reference books, course materials, etc.

(1) Materials Science and Engineering: W. D. Callister, Jr, John Wiley & Sons, Inc.
(2) Phase Transformations in Metals and Alloys: D. A. Porter and K. E. Eastering, Chapman & Hall.
(3) Alloy Phase Equilibria: A. Prince, Elsevier Publishing Company.
(4) Solution examples of materials engineering, Maruzen, (1997), ISBN 4-621-04285-8 C3057.
(5) Diffusion in solids, P.G.Shewmon (eds. by K. Fueki, and K. Kitazawa) , Corona.
(6) Introduction to Physical Metallurgy, S. Koda, Corona.

Assessment criteria and methods

Evaluate achievement and performance by quiz, intermediate and final examinations

Related courses

  • ENR.J405 : Microstructure Evolution and Diffusion in Metals

Prerequisites (i.e., required knowledge, skills, courses, etc.)

knowledges and skills to solve differential and partial differential equations



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