Micromechanics of Heterogeneous Materials II (Numertical Methods)

Course guarantor:

Jan Zeman

Lecturer:

Martin Doškář, Jan Zeman

Tutor:

Martin Doškář, Jan Zeman

Supervisor:

Department of Mechanics

Synopsis:

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

1.Overview of the finite element method for elasticity and heat conduction

2.Introduction to the method of asymptotic expansion for heat conduction and elasticity

3.First-order computational homogenization for elasticity

4.First-order computational homogenization for heat conduction and thermo-elasticity

5.Homogenization nonlinear problems -- application to non-linear conduction and elasticity

6.Two-scale simulations -- basic principles and implementation strategy, applications

Reduced-order models, combining computational homogenization with micromechanics

Requirements:

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Study materials:

Povinná literatura:

J.C. Michel, H. Moulinec, P. Suquet: Effective properties of composite materials with periodic microstructure: a computational approach, Computer Methods in Applied Mechanics and Engineering 172 (1–4), 109–143, 1999

J. Fish: Practical multiscaling, John Wiley & Sons, 2014

Doporučená literatura:

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

T. I. Zohdi, P. Wriggers: An Introduction to computational micromechanics, Springer, 2005

Note:

Time-table for winter semester 2024/2025:

Time-table is not available yet

Time-table for summer semester 2024/2025:

Time-table is not available yet

The course is a part of the following study plans: