Numerical Methods in Mechanics II

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Department of Mechanics

Synopsis:

The objective of the course is to extend basic knowledge of numerical methods for solving PDEs and particularly finite element method towards their advanced applications in engineering. The course will focus on problems of geometrically and materially nonlinear static (theoretical framework, linearization, algorithmic aspects, solution methods – direct and indirect control, plasticity and damage based models). Introduction to Isogeometric analysis, eXtended finite element method, mesh generation and efficient methods for solution sparse linear systems.

The students will not only understand theoretical aspects of the methods, but will use and further develop prototype implementations in Matlab to understand the algorithmic aspects of the methods. During the seminars, the students will individually or in a small teams solve selected problems, interpret and discuss results.

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Study materials:

Fish, Belytschko, A First Course in Finite Elements, Wiley, 2007

Z. Bittnar, J. Šejnoha: Numerical Methods in Structural Mechanics, ASCE Publications, 1996

A. Ibrahimbegovic: Nonlinear Solid Mechanic, Springer Netherlands, 2009

M.A.Crisfield: Non-Linear Finite Element Analysis of Solids and Structures, John Wiley & Sons, 2003.

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Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: