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.

Studenti budou umět:

(samozřejmě v závislosti na schopnostech každého jednotlivce vstřebat látku zde nabízenou)

1. zařadit jednotlivé modely disperzních soustav a heterogenních materiálů do příslušného teoretického rámce (klasická teorie kontinua, neklasická teorie kontinua, teorie směsí atd.) a orientovat se v teorii mikromechaniky a rozptylu,

2. charakterizovat disperzní soustavy a mikrostrukturu heterogenních materiálů lege artis a aplikovat tuto schopnost ve vlastních publikacích,

3. kriticky hodnotit dosud publikované modely disperzních soustav a heterogenních materiálů a rozlišit populární vědecký folklor od fyzikálně skutečně přípustných modelů,

4. uvědomit si, kriticky hodnotit a prohlédnout rozšířenou praxi mnoha dnešních autorů nerozlišovat fitovací rovnice od predikčních modelů a na tomto základě celou problematiku zvážit, vytvořit si vlastní názor v této otázce a stanovisko pro vlastní vědeckou činnost,

5. sami vyvinout nové modely resp. adaptovat stávající modely popisující souvislosti mezi mikrostrukturou a vlastnostmi disperzních soustav a heterogenních materiálů a tyto modely aplikovat ve vlastní výzkumné práci.

Oral exam.

Ústní zkouška

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).

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

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

Z - 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).

Z - 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).

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

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

Z - 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).

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

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

Z - 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).

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

D - 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).

D - 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).

D - 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).

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

D - 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).

D - 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).

D - 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).

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

Přednášky (pokud více než 2 studenti) nebo konzultace a samostudium.

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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)

1. Velikostní a tvarová charakterizace částic a částicových soustav (včetně anizometrických částic) - od sedimentace k metodám využívajícím rozptyl světla

2. Charakterizace mikrostruktury heterogenních materiálů (včetně anizotropních) - od Archimeda k obrazové analýze pomocí stereologie

3. Stereologie I: Objemové frakce, pórovitost, hustota rozhraní, hustota integrálu středního zakřivení, střední délka úseků a jiné velikostní míry

4. Stereologie II: Rekonstrukce distribucí velikosti pomocí transformací na bázi Volterrových integrálních rovnic, korelační funkce

5. Racionální mechanika viskózních tekutin a elastických pevných látek

6. Reologie suspenzí: Efektivní viskozita zředěných a koncentrovaných suspenzí s kulovitými resp. nekulovitými částicemi

7. Lineární teorie termoelasticity a termoviskozity

8. Nanofluidy: Efektivní viskozita a tepelná vodivost

9. Efektivní vlastnosti polykrystalických a nanokrystalických materiálů

10. Efektivní elastické vlastnosti a tepelná vodivost kompozitů a porézních pevných látek I: Exaktní meze, lineární a self-konsistentní aproximace

11. Efektivní elastické vlastnosti a tepelná vodivost kompozitů a porézních pevných látek II: Diferenciální aproximace, clusterové rozvoje a jiné nelineární modely

12. Teorie perkolace a proudění tekutin v porézních prostředích

13. Efektivní elektrické, magnetické a elektromagnetické (optické) vlastnosti

14. Klasická teorie rozptylu (Mieova teorie a její aproximace)

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

Publikace přednášejícího uvedené v seznamu literatury (k dispozici v knihovně NTK nebo přímo u přednášejícího).

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