636-0920/05 – Theory of Phase Transformations (TFP)

Gurantor departmentDepartment of Material EngineeringCredits10
Subject guarantorprof. Ing. Vlastimil Vodárek, CSc.Subject version guarantorprof. Ing. Vlastimil Vodárek, CSc.
Study levelpostgraduateRequirementChoice-compulsory type B
YearSemesterwinter + summer
Study languageEnglish
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFMTIntended for study typesDoctoral
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 Examination 20+0
Part-time 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

Individual consultations


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:

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. BHADESHIA, H. K. D. H. Bainite in steels. 2nd edition, London: IOM Communications Ltd, 2001. ISBN 1-86125-112-2. KOSTORZ, G. Phase transformations in materials, Weinheim: Wiley - VCH Verlag, 2001. ISBN: 3-527-30256-5. 

Recommended literature:

ABBASCHIAN, R., L. ABBASCHIAN and R. E. REED-HILL. Physical metallurgy principles. 4th edition, Stamford: Cengage Learning, 2009. ISBN 978-0-495-08254-5. CAHN, R.W. and HAASEN, P. Physical metallurgy, Volume 2. 4th edition, Amsterdam: Elsevier Science B.V., 1996. ISBN: 0 444 89875 1.

Way of continuous check of knowledge in the course of semester

Oral exam with the written preparation.


Other requirements

There are no further special requirements.


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

Structure of crystalline materials. Allotropy in pure metals. 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. 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. Kinetics of phase transformations. Arrhenius equation. Classification of phase transformations. First order and second order transformations. Solidification. Nucleation in pure metals: homogeneous and heterogeneous nucleation, growth of thermal dendrites in pure metals, solidification of single-phase alloys. Solidification of binary alloys. Constitutional undercooling, dendritic growth, solidification of eutectic alloys, solidification of hypoeutectic and peritectic alloys, examples of solidification. 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. Thermodynamic and kinetic modelling of precipitation reactions. Kinetics of diffusional phase transformations: Johnson-Mehl-Avrami equation. TTT and CCT diagrams. Crystal interfaces in solids: coherent, semi-coherent and incoherent interfaces. Glissile interfaces. Interface migration. Homogeneous transformation: spinodal decomposition. Mechanisms of ordering transformations. Massive transformations. 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. Bainitic transformation. Deformation induced martensitic transformation. Thermoelastic martensitic transformation, self–accommodation martensite. Transformation and reorientation induced pseudoelasticity. Shape memory effect. Phase transformations in titanium and its alloys.

Conditions for subject completion

Part-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Examination Examination  
Mandatory attendence parzicipation:

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Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (P0788D270004) Material sciece and Engineering P English Ostrava Choice-compulsory type B study plan
2021/2022 (P0788D270004) Material sciece and Engineering K English Ostrava Choice-compulsory type B study plan
2020/2021 (P0788D270004) Material sciece and Engineering K English Ostrava Choice-compulsory type B study plan
2020/2021 (P0788D270004) Material sciece and Engineering P English Ostrava Choice-compulsory type B study plan

Occurrence in special blocks

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