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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2020/2021

Micromechanics of Heterogeneous Materials I (Analytical Methods)

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Code Completion Credits Range Language
D32MH1 ZK 4P Czech
Lecturer:
Jan Zeman (guarantor)
Tutor:
Jan Zeman (guarantor)
Supervisor:
Department of Mechanics
Synopsis:

The course will cover analytical methods for multiscale modeling of heterogenous materials, with emphasis on:

1.Introduction, overview of governing equations of elasticity, tensor notation, and averaging

2.Minimum energy principles, material symmetries

3.Elementary theory of overall moduli, concentration factors, Voigt-Reuss bounds

4.Exact solution for two-phase composites, idea of improved bounds

5.Eshelby problem

6.Approximate evaluation of overall moduli: dilute approximation, self-consistent method, Mori-Tanaka method

7.Improved bounds on overall moduli: Hashin-Shtrikman bounds

8.Thermo-elasticity

9.Extension to stationary transport processes

Requirements:
Syllabus of lectures:
Syllabus of tutorials:
Study Objective:
Study materials:

Povinná literatura:

G. J. Dvorak: Micromechanics of composite materials, Springer, 2013

M. Šejnoha and J. Zeman: Micromechanics in practice, WIT Press, 2013

Doporučená literatura:

T. Mura: Micromechanics of defects in solids. Martinus Nijhoff, Dordrecht, 1987

G. W. Milton: Theory of composites, Cambridge University Press, 2002

L. Dormieux, D. Kondo, F.-J. Ulm: Microporomechanics, John Wiley & Sons, 2006

Note:
Time-table for winter semester 2020/2021:
Time-table is not available yet
Time-table for summer semester 2020/2021:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2020-10-27
For updated information see http://bilakniha.cvut.cz/en/predmet6026206.html