636-3001/03 – Phase Transformations (FPn)

Gurantor departmentDepartment of Material EngineeringCredits7
Subject guarantorprof. Ing. Vlastimil Vodárek, CSc.Subject version guarantorprof. Ing. Vlastimil Vodárek, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFMTIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
KON57 Ing. Kateřina Konečná, Ph.D.
VOD37 prof. Ing. Vlastimil Vodárek, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+3
Part-time Credit and Examination 20+0

Subject aims expressed by acquired skills and competences

The course is focused on basic theoretical rules of phase transformations which can take place during production and subsequent treatment of metallic materials. The goal of the course is to train students in identification of transformation products in metallic materials and to define a probable mechanism of phase transformations taking place under given circumstances of technological treatment of materials.

Teaching methods

Experimental work in labs
Project work


The course deals with basic thermodynamic, kinetic and crystallographic characteristics of phase transformations in metallic materials. Phase transformations in technically important alloys are demonstrated on practical examples.

Compulsory literature:

VODÁREK, V. Phase transformations, Ostrava: VŠB – TU Ostrava, 2013. Available from: http://katedry.fmmi.vsb.cz/Opory_FMMI_ENG/AEM/Phase%20Transformations.pdf. PORTER, D. A., K. E. EASTERLING and M. Y. SHERIF. Phase transformations in metals and alloys. 3rd edition, Boca Raton: CRC Press, 2009. ISBN 978-1-4200-6210-6. BHADESHIA, H. K. D. H. and R. W .K. HONEYCOMBE. Steels: Microstructure and Properties, 4th edition, Oxford: Butterworths - Heinemann, 2017. ISBN 978-0081002704. BANERJEE, P. and P. MUKHOPADHYAY. Phase Transformations: Examples from Titanium and Zirconium Alloys, Elsevier, 2010. ISBN: 9780080548791.

Recommended literature:

HAASEN, P. and B. L. MORDIKE. Physical metallurgy, 3rd edition, Cambridge: Cambridge University Press, 1996. ISBN 978-0-521-55092-5.

Way of continuous check of knowledge in the course of semester

Continuous verification of learning outcomes: full-time study form – 2 written tests, 2 programs processed during the semester; combined study form – 1 semestral project. Final verification of study results: both full-time and combined study forms: written exam.


Other requirements

There are no further requirements.


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

1. Structure of crystalline materials. Allotropy in pure metals. 2. Structure of binary alloys, substitutional solid solutions, short range and long range ordering, interstitial solid solutions, intermediary phases, electron compounds, Laves phases and electrochemical compounds. 3. Thermodynamics of phase transformations, one-component systems, effect of pressure on equilibrium. Binary solutions: ideal solutions, chemical potential, regular solutions, activity, equilibrium in heterogeneous systems, relationship between binary diagrams and Gibbs free energy curves, influence of interfaces on equilibrium. 4. Kinetics of phase transformations. Arrhenius equation. 5. Classification of phase transformations. First order and second order transformations. 6. Solidification. Nucleation in pure metals: homogeneous and heterogeneous nucleation, growth of thermal dendrites in pure metals, solidification of single-phase alloys. 7. Solidification of binary alloys. Constitutional undercooling, dendritic growth, solidification of eutectic alloys, solidification of hypoeutectic and peritectic alloys, examples of solidification. 8. Diffusional transformations in solids. Precipitation: homogeneous and heterogeneous nucleation in solids, nucleation rate, growth and coarsening of precipitates, precipitation sequence, precipitation in age-hardening alloys. Discontinuous and continuous precipitation, interphase transformation. 9. Thermodynamic and kinetic modelling of precipitation reactions. Kinetics of diffusional phase transformations: Johnson-Mehl-Avrami equation. TTT and CCT diagrams. 10. Crystal interfaces in solids: coherent, semi-coherent and incoherent interfaces. Glissile interfaces. Interface migration. 11. Homogeneous transformation: spinodal decomposition. Mechanisms of ordering transformations. 12. Massive transformations. Pro-eutectoid and eutectoid transformations. Austenitizing. Bainitic transformation. 13. Difussionless phase transformations. Athermal and isothermal transformations. Martensite nucleation and growth. Shape deformation at martensitic transformation, habit plane. Martensite crystallography in Fe – C alloys. Bain deformation. Martensite morphology in Fe – C alloys. Tempering of martensite in steels, tempering embrittlement. 14. Deformation induced martensitic transformation. Thermoelastic martensitic transformation, self–accommodation martensite. Transformation and reorientation induced pseudoelasticity. Shape memory effect.

Conditions for subject completion

Conditions for completion are defined only for particular subject version and form of study

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (N0715A270002) Materials Engineering SPO P Czech Ostrava 1 Compulsory study plan
2021/2022 (N0715A270002) Materials Engineering SPO K Czech Ostrava 1 Compulsory study plan
2020/2021 (N0715A270002) Materials Engineering SPO P Czech Ostrava 1 Compulsory study plan
2020/2021 (N0715A270002) Materials Engineering SPO K Czech Ostrava 1 Compulsory study plan
2019/2020 (N0715A270002) Materials Engineering SPO P Czech Ostrava 1 Compulsory study plan
2019/2020 (N0715A270002) Materials Engineering SPO K Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner