SubjectsSubjects(version: 954)
Course, academic year 2019/2020
Theory and Characterization of Disperse Systems and Heterogeneous Materials - P107006
Title: Teorie a charakterizace disperzních systémů a heterogenních materiálů
Guaranteed by: Department of Glass and Ceramics (107)
Faculty: Faculty of Chemical Technology
Actual: from 2019
Semester: both
Points: 0
E-Credits: 0
Examination process:
Hours per week, examination: 3/0, other [HT]
Capacity: winter:unknown / unknown (unknown)
summer:unknown / unknown (unknown)
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Note: course is intended for doctoral students only
can be fulfilled in the future
you can enroll for the course in winter and in summer semester
Guarantor: Pabst Willi prof. Dr. Dipl.-Min.
Is interchangeable with: AP107006
Examination dates   Schedule   
Annotation -
This course provides a unified and detailed overview on the theory and characterization of disperse systems (powders and mainly suspensions) and heterogeneous materials (single-phase polycrystalline materials, multiphase, mainly two-phase, composites, and porous materials). The theoretical framework of this course is neoclassical continuum theory (so-called rational thermomechanics), classical electromagnetic field theory and the theory of multiphase mixtures or composites (so-called micromechanics). The first part of this course focusses on ensemble methods for the characterization of particle systems, mainly methods based on light scattering, and on methods for the characterization of microstructures via stereological relations. Then, after introducing the basic constitutive equations, the effective properties of disperse systems and hetergeneous materials are discussed, i.e. the viscosity of suspensions, the thermal conductivity of nanofluids, the elastic, thermal, thermoelastic and other properties of heterogeneous materials (single-phase polycrystalline, including nanocrystalline, and multiphase, mainly two-phase materials, including porous materials) are treated, with a special focus on rigorous bounds and predictive model relations (effective medium approximations). The course closes with brief outlooks on percolation theory, fluid flow in porous media, effective electric, magnetic and electromagnetic (optical) properties, including classical scattering theory (Mie theory), with which the course de facto starts and thus the circle closes.
Last update: Pátková Vlasta (18.04.2018)
Aim of the course -

The students will be able to

(of course depending on the individual students‘ abilities to digest the matter offered in this course)

1. assign the models of disperse systems and heterogeneous materials into the corresponding framework theory (classical continuum theory, non-classical continuum theory, mixture theory etc.) and take full benefit from theories of micromechanics and scattering,

2. characterize disperse systems and the microstructure of heterogeneous materials lege artis and apply this ability in his or her own publications,

critically assess the models of disperse systems and heterogeneous materials published so far and distinguish scientific folklore from physically admissible models,

3. become aware of, critically assess and scrutinize the common practice of many current authors to confuse curve fitting with predcitive modeling, and on this basis rethink the whole problem and its consequences and achieve a firm standpoint for his or her own scientific work,

4. devolep new models or adapt existing models describing the relationship between the microstructure and properties of disperse systems and heterogeneous materials and apply these models in his or her own scientific work.

Last update: Pátková Vlasta (18.04.2018)
Literature -

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

R - Bohren C. F., Huffman D. R.: Absorption and Scattering of Light by Small Particles. Wiley-VCH, Weinheim 2004. (ISBN 0-471-29340-7).

R - 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 Publishers, New York 2011. (ISBN 978-1-61209-821-0).

R - 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. Nova Science Publishers, New York 2017. (ISBN 978-1-63485-839-7).

R - Pabst W.: Fundamental considerations on suspension rheology, Ceram. Silik. 48 (1), 6-13 (2004).

R - Pabst W.: The linear theory of thermoelasticity from the viewpoint of rational thermomechanics, Ceram. Silik. 49 (4), 254-263 (2005).

R - Pabst W., Hostaša J., Esposito L.: Porosity and pore size dependence of the real in-line transmission of YAG and alumina ceramics, J. Eur. Ceram. Soc. 34 (11), 2745-2756 (2014).

R - Pabst W., Gregorová E.: The thermal conductivity of alumina-water nanofluids from the viewpoint of micromechanics, Microfluid. Nanofluid. 16 (1-2), 19-28 (2014).

R - Pabst W., Gregorová E., Uhlířová T.: Microstructure characterization via stereological relations – a shortcut for beginners, Mater. Charact. 105 (1), 1-12 (2015).

R - Pabst W., Gregorová E.: Elastic and thermal properties of porous materials – rigorous bounds and cross-property relations, Mater. Sci. Technol. 31 (15), 1801-1808 (2015).

A - van de Hulst H. C.: Light Scattering by Small Particles. Dover, New York 1981. (ISBN 0-486-64228-3).

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 Publishers, 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 Publishers, New York 2007. (ISBN 1-59454-854-4).

A - Pabst W.: Steps across the border - from micromechanics to the properties of nanoceramics, pp. 207-228 in Tseng T.-Y., Nalwa H.S. (eds.): Handbook of Nanoceramics and Their Based Nanodevices - Volume 3. American Scientific Publishers, Stevenson Ranch (California) 2009. (ISBN 1-58883-117-5).

A - 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., Uhlířová T., Nečina V., Gregorová E.: Basic concepts and classical models of solid state sintering, pp. 1-63 in Olson J. (ed.): Polycrystalline Materials - Synthesis, Performance and Applications. Nova Science Publishers, New York 2018. (ISBN 978-1-53613-864-1).

A - Pabst W., Gregorová E.: A generalized cross-property relation between the elastic moduli and conductivity of isotropic porous materials with spheroidal pores, Ceram. Silik. 61 (1), 74-80 (2017).

A - Pabst W., Uhlířová E.: A generalized class of transformation matrices for the reconstruction of sphere size distributions from section circle size distributions, Ceram. Silik. 61 (2), 147-157 (2017).

Last update: Pabst Willi (12.09.2018)
Learning resources -

Publications of the lecturer according to the list of literature references (available at the National Technical Library or directly from the lecturer).

Last update: Pabst Willi (12.09.2018)
Teaching methods -

Lectures (if more than 2 students) or consultation and self-study.

Last update: Pabst Willi (12.09.2018)
Requirements to the exam -


Last update: Pabst Willi (06.06.2018)
Syllabus -

1. Size and shape characterization of particles and particle systems (including anisometric particles) - from sedimentation to light scattering methods

2. Microstructural characterization of heterogeneous materials (including anisotropic microstructures) - from Archimedes to stereology-based image analysis

3. Stereology I: Volume fractions, porosity, interface density, mean curvature integral density, mean chord length and other size measures

4. Stereology II: Unfolding of size distributions using transformations based on Volterra-type integral equations, correlation functions

5. Rational mechanics of viscous fluids and elastic solids

6. Suspension rheology: Effective viscosity of dilute or concentrated suspensions with spherical or non-spherical particles

7. Linear theory of thermoelasticity (solids) and thermoviscosity (fluids)

8. Nanofluids: Effective viscosity and thermal conductivity

9. Effective properties of polycrystalline and nanocrystalline materials

10. Effective elastic properties and thermal conductivity of composites and porous solids I: Rigorous bounds, dilute and self-consistent approximations

11. Effective elastic properties and thermal conductivity of composites and porous solids II: Differential approximations, cluster expansions and other nonlinear models

12. Percolation theory and fluid flow in porous media

13. Effective electric, magnetic and electromagnetic (optical) properties

14. Classical theory of scattering (Mie theory and its approximations)

Last update: Pátková Vlasta (18.04.2018)
Entry requirements -


Last update: Pabst Willi (06.06.2018)
Registration requirements -


Last update: Pabst Willi (06.06.2018)
Course completion requirements -

Oral exam.

Last update: Pátková Vlasta (18.04.2018)
Coursework assessment
Form Significance
Oral examination 100