Computational Mechanics

Lecturer:

Miloslav Okrouhlík (gar.)

Tutor:

Miloslav Okrouhlík (gar.)

Supervisor:

Department of Materials

Synopsis:

Problem solving of mechanical tasks in engineering by means of discrete methods, numerical mathematics and computer programming with emphasis to nonlinearities.

Requirements:

Matrices, tensors. Statics. Dynamics. Elasticity and Strength.

14TEM - Technical Mechanics

14DYLS - Dynamics of Mechanical Systems

14DYKO - Dynamics of Continuum

14EME1 - Elastomechanics 1

14EME2 - Elastomechanics 2

Syllabus of lectures:

Theoretical principles of solid continuum mechanics. Basic notions and their representations in matrix and tensorial notations. Theory of infinitesimal and finite deformations. Green-Lagrange and Almansi strain tensors. Engineering and Cauchy (true) stress tensors. Constitutive models. Computational aspects. Examples. Numerical modelling of engineering problems in mechanics by means of Finite element method. Theoretical and practical aspects of individual computational approaches and their relations to analytical solutions. Attention to present computational capabilities (parallezation )is paid.

Syllabus of tutorials:

Numerous examples are devoted to comparison of infinitesimal and finite theories that are based on large rotations and finite strains.

Study Objective:

Knowledge:

Nonlinear Solid continuum mechanics. Numerical approaches. Finite element method. Problem solving.

Skills:

Problem solving of engineering problems in mechanics.

Study materials:

Key references:

[1] Series of e-learnig lectures freely available in pdf format.

Recommended references:

[1] Bathe, K.-J.: Finite Element Procedures, Prentice-Hall, Engelwood Cliffs, 1996.

[2] Belytschko, T., Liu, W.K., Moran, B.: Nonlinear Finite Elements for Continua and Structures, John Wiley, Chichester, 2000.

Media and tools:

PC,Fortran, software Matlab and MSC Marc.

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans: