# COURSE UNIT TITLE

: PHASE DIAGRAMS

#### Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MME 3515 PHASE DIAGRAMS COMPULSORY 3 0 0 5

#### Offered By

Metallurgical and Materials Engineering

#### Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

#### Course Coordinator

ASISTANT PROFESSOR ESRA DOKUMACI

#### Offered to

Metallurgical and Materials Engineering

#### Course Objective

The objectives of this course are to provide students with the following competencies:
1.Understanding the concept of free energy in structuring the phase diagrams under equilibrium.
2.Understanding the application of the phase rule to one, two-, three-component system.
3. Knowledge of crystallization paths and their application to practical problem solving.
4. Understanding the use of lever rule in calculating amounts of phases in practical problems involving various invariant points.
5. Reading and analysing composition triangle in thernary phase diagrams.

#### Learning Outcomes of the Course Unit

 1 Understand the importance of temperature, pressure and composition in state of equilibrium associated with the Gibbs free energy. 2 Students should be able to construct and interpret single and two component phase diagrams and account for their main features 3 Describe the use of phase diagrams in the equilibrium and non-equilibrium cooling condition and the final microstructures of cast and heat treated binary alloys. 4 Understand the effect of solubility on structuring phase diagrams in binary and thernary systems. 5 Calculate the amount of the phases and understand phase changes at the invariant points for unary, binary and ternary systems. 6 Understand the importance of congruent and incongruent melting in forming phase diagrams in ternary systems. 7 Construction of phase diagrams by using free energy as a function of temperature and cooling curves 8 Understand the Importance of relationship between phase rule and -degree of freedom and the effect of temperature and pressure on allotropic transformation.

Face -to- Face

None

None

#### Course Contents

 Week Subject Description 1 Basic principles of thermodynamics in association with phase diagrams: System, component, phase and equilibrium concepts. 2 Equilibrium concept in unary and binary systems. 3 Unary and binary phase diagrams and their derivation using the associated free energy curves at different temperature as a function of composition.. 4 Equilibrium phase diagrams in ideal two-phase systems, phase rule, Clausius-Clapeyron equation. 5 Partial and continuous solid solubility in binary systems. 6 The lever rule, partial and intermediate solid solutions. 7 I st Interm Exam. 8 Examples of phase analysis for eutectic, eutectoid, peritectic and peritectoid reactions. 9 Fe-C phase diagrams, analysis of phase transformation, application of phase and lever rules at various compositions and temperatures. 10 Eutectic, eutectoid, peritectic and peritectoid reactions in binary phase diagrams; stable and metastable liquid immiscibility, spinodal decomposition. 11 Indication of components and crystallization in three-phase systems with and without a solid solution, eutectic, eutectoid and peritectic reactions. 12 Congruent-incongruent melting and crystallization in ternary systems with eutectic and peritectic reactions, 13 II nd Interm Exam. 14 Ternary phases with congruent and incongruent melting; Application of the lever rule, phase equilibrium tie-lines and composition triangles, immiscibility in ternary systems. II nd Interm Exam

Textbook(s):
2. Phase Transformation in Metals and Alloys, David, A Porter,Kenneth, E Easterling, , Chapman and Hall,0 412 45030 5, UK, 1997

Supplementary Book(s):

1. Principles of Phase Diagrams in Materials Systems,Paul Gordon, , ,McGraw-Hill Book Campany,68-11604,USA,1968
2. Introduction to Phase Equilibria in Ceramic Systems, Floyd, A Hummel, , , Marcel Dekker, Inc.,0 8247 7152 4, USA, 1984

#### Planned Learning Activities and Teaching Methods

Oral and visual presentation, discussions, problem solving

#### Assessment Methods

 SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE1 MIDTERM EXAM 1 2 MTE2 MIDTERM EXAM 2 3 FIN FINAL EXAM 4 FCG FINAL COURSE GRADE MTE1 * 0.25 + MTE2 * 0.25 + FIN * 0.50 5 RST RESIT 6 FCGR FINAL COURSE GRADE (RESIT) MTE1 * 0.25 + MTE2 * 0.25 + RST * 0.50

#### Further Notes About Assessment Methods

Lecture presentation will be provided in class room in line of the course content and discussion regarding topics presented will be held. Problem solving will be presented in relation to the appropriate subjects included in curriculum

#### Assessment Criteria

1. Identify number, composition, proportion and structural arrangement of phases in binary alloys.
2. T-P-G diagrams in unary, binary and ternary component systems
3. Structuring composition-temperature phase diagrmas by use of free energy change as a function of temperature.
4. Le Chatelier Principle and Clasius-Clapeyron Equation and its implementation
5. Describe structural changes due to varying proportion of alloying elements and temperature.
6. Describe the phase changes and final microstructures of binary alloys cooled under equilibrium conditions from the melt or during heat treatment operations.
7. Compute the amount of phases existing at different temperature levels in binary and thernary systems.
8. Describe the final microstructure involving phase transformations at different invariant points such as eutectic, eutectoid, peritectic, peritectoid ect.

English

#### Course Policies and Rules

Lecture presentation will be provided in class room in line of the course content and discussion regarding topics presented will be held. Problem solving will be presented in relation to the appropriate subjects included in curriculum.

#### Contact Details for the Lecturer(s)

Prof. Dr. Ahmet ÇAKIR
Dokuz Eylül University, Faculty of Engineering,
Metalurgical and Materials Engineering
Tınaztepe Campus, 35160 Buca / IZMIR
Tel+90 232 3017480
ahmet.cakir@deu.edu.tr

Prof. Dr. Ali Aydın Göktaş
Dokuz Eylül University, Faculty of Engineering,
Metalurgical and Materials Engineering
Tınaztepe Campus,
35160 Buca / IZMIR
Tel+90 232 3017480
aydin. goktas@deu.edu.tr

#### Office Hours

On Fridays btw. 09:00-10:00 am

#### Work Placement(s)

None

 Activities Number Time (hours) Total Work Load (hours) Lectures 14 3 42 Preparation for final exam 1 10 10 Preparation for midterm exam 2 10 20 Preparations before/after weekly lectures 14 3 42 Final 1 2 2 Midterm 2 2 4 TOTAL WORKLOAD (hours) 120

#### Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12
LO.1454
LO.244
LO.3344
LO.443
LO.544
LO.633
LO.7543
LO.84332