SubjectsSubjects(version: 955)
Course, academic year 2019/2020
Microstructure and Properties of Heterogeneous Materials - M107014
Title: Mikrostruktura a vlastnosti heterogenních materiálů
Guaranteed by: Department of Glass and Ceramics (107)
Faculty: Faculty of Chemical Technology
Actual: from 2019
Semester: winter
Points: winter s.:5
E-Credits: winter s.:5
Examination process: winter s.:
Hours per week, examination: winter s.:3/0, Ex [HT]
Capacity: unlimited / unknown (unknown)
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Note: course can be enrolled in outside the study plan
enabled for web enrollment
Guarantor: Pabst Willi prof. Dr. Dipl.-Min.
Interchangeability : N107027
Examination dates   Schedule   
This subject contains the following additional online materials
Annotation -
This subject provides a comprehensive and consistent overview on the microstructure and properties of heterogeneous materials (single-phase or multiphase), including composites dense poly- and nanocrystalline materials, multiphase materials, porous and cellular materials, based on the theory of heterogeneous materials, so-called micromechanics. In the introduction a general classification of heterogeneous materials is presented and the preparation of dense and porous poly- and nanocrystalline materials is described. Methods for the microstructural characterization of heterogeneous materials are briefly summarized and the concept of correlation functions for the description of the microstructure of heterogeneous materials is explained. Micromechanical bounds and model relations describing microstructure-property relations are explained in detail, including mixture rules and cross-property relations. The main part of the subject concerns mechanical, thermophysical and thermomechanical properties, a smaller part electrical, magnetic and optical properties, fluid transport in porous media and the viscosity and thermal conductivity of suspensions and nanofluids. In the context of nanomaterials the structure of the interface and the so-called phase mixture model for calculating the grain size dependence of properties is explained. The subject is suitable for students of all material study programs and specializations.
Last update: Fialová Jana (04.01.2018)
Aim of the course -

The students will be able to …

… correctly use the most important concepts from the theory of heterogeneous materials (micromechanics).

… understand the relationships between the preparation method, microstructure and properties of hetergeneous materials, including dense poly- and nanocrystalline materials (single-phase and multiphase) and porous and cellular materials.

… quantitatively characterize the microstructure of heterogeneous materials, understand the concept of correlations functions and correctly interpret the results of the microstructural characterization of heterogeneous materials.

… correctly use the micromechanical bounds and model relations for the prediction of the effective properties of heterogeneous materials.

… apply phase mixture models for predicting the properties of nanocrystalline materials.

… understand the theoretical foundations of the theory of heterogeneous materials (micromechanics) to the degree necessary to fully understand and be able to critically assess a large part of the modern literature in the field of materials science.

Last update: Fialová Jana (04.01.2018)
Literature -

R - Torquato S.: Random Heterogeneous Materials - Microstructure and Macrosopic Properties. Springer, New York 2002. (ISBN 0-387-95167-9).

R - Gibson L. J., Ashby M. F.: Cellular Solids - Structure and Properties (second edition). Cambridge University Press, Cambridge 1997. (ISBN 0-521-49911-9).

R - Koch C. C. (ed.): Nanostructured Materials - Processing, Properties, and Applications (second edition).William Andrew, Norwich 2007. (ISBN 978-0-8155-1534-0).

R - Das S. K., Choi S. U. S., Yu W., Pradeep T.: Nanofluids - Science and Technology. Wiley-Interscience, Hoboken 2008. (ISBN 978-0-470-07473-2).

R - Pabst W., Gregorová E.: Phase Mixture Models for the Properties of Nanoceramics. Nova Science Publishers, New York 2010. (ISBN 978-1-61668-673-4).

A - Pabst W., Gregorová E.: Effective elastic moduli of alumina, zirconia and alumina-zirconia composite ceramics, pp. 31-100 in Caruta B.M. (ed.): Ceramics and Composite Materials - New Research. Nova Science, New York 2006. (ISBN 1-59454-370-4).

A - Pabst W., Gregorová E.: Effective thermal and thermoelastic properties of alumina, zirconia and alumina-zirconia composite ceramics, pp. 77-138 in Caruta B.M. (ed.): New Developments in Materials Science Research. Nova Science, New York 2007. (ISBN 1-59454-854-4).

A - Pabst W., Hostaša J.: Thermal conductivity of ceramics - from monolithic to multiphase, from dense to porous, from micro to nano, pp. 1-112 in Wythers M.C. (ed.): Advances in Materials Science Research. Nova Science, New York 2011. (ISBN 978-1-61209-821-0).

A - Pabst W., Gregorová E., Uhlířová T.: Processing, microstructure, properties, applications and curvature-based classification schemes of porous ceramics, pp. 1-52 in Newton A. (ed.): Advances in Porous Ceramics. 188 pp. Nova Science Publishers, New York 2016. (ISBN hardcover 978-1-63485-839-7, e-book 978-1-63485-860-1).

Last update: Fialová Jana (04.01.2018)
Learning resources -

Lecture notes on CD (available from the lecturer).

Last update: Fialová Jana (04.01.2018)
Syllabus -

1. Introduction (definition of heterogeneous materials, effective properties)

2. Polycrystalline (and nanocrystalline) materials, (nano-)composites and porous materials (including so-called cellular materials)

3. Preparation, classification and application of single-phase polycrystalline materials, multiphase materials (composites) and porous materials

4. Microstructural characterization of single-phase polycrystalline materials, multiphase materials (composites) and porous materials

5. Microstructure, global descriptors and correlation functions (one-, two-, three-, four-point)

6. Mechanical (elastic), thermophysical (conductivity, specific heat) and thermomechanical (thermoelastic) properties of single-phase polycrystalline materials (Voigt-Reuss etc.)

7. Micromechanical bounds of effective properties of multiphase / composite and porous materials (one-point / Wiener-Paul, two-point / Hashin-Shtrikman and three-point / Beran)

8. Model relations for the description of the relation between the microstructure and effective properties of composites (exact models, single-inclusion solutions, cluster approximations as well as Maxwell-type, self-consistent and differential effective medium approximations)

9. Mechanical (elastic), thermophysical (conductivity, specific heat) and thermomechanical (thermoelastic) properties of porous materials (including Coble-Kingery and Gibson-Ashby)

10. Cross-property relations between effective properties (elementary bounds / Milton-Torquato, Levin relation for the coefficient of thermal expansion, cross-property relations between elastic moduli and conductivity)

11. Interfaces (grain and phase boundaries) and phase mixture models for nanomaterials; grain size dependence of effective properties of polycrystalline and nanocrystalline materials

12. Effective viscosity and thermal conductivity of suspensions and nanofluids; shape effects

13. Effective electrical, magnetic and optical properties of heterogeneous materials; scattering

14. Fluid transport in porous media

Last update: Fialová Jana (04.01.2018)
Registration requirements -

Introduction to Materials, Mathematics I

Last update: Fialová Jana (04.01.2018)
Course completion requirements -

In order to complete the subject the student has to pass a written classification test and an oral exam.

Last update: Pabst Willi (15.02.2018)
Teaching methods
Activity Credits Hours
Účast na přednáškách 1.5 42
Příprava na přednášky, semináře, laboratoře, exkurzi nebo praxi 1.5 42
Příprava na zkoušku a její absolvování 2 56
5 / 5 140 / 140
Coursework assessment
Form Significance
Regular attendance 30
Examination test 30
Oral examination 40