Micromechanics of Heterogeneous Materials I (Analytical Methods)

Garant předmětu:

Jan Zeman

Lecturer:

Jan Zeman

Tutor:

Jan Zeman

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 2023/2024:

Time-table is not available yet

Time-table for summer semester 2023/2024:

Time-table is not available yet

The course is a part of the following study plans: