معلومات المقرر

Lehrinhalte
Audience
Students of civil-engineering, mechanics, maths, physics

Contents
The lectures deal with finite-element methods for the numerical solution
of strongly nonlinear problems in the mechanics of solids and structures.
The nonlinearity may arise from geometrically or physically nonlinear behaviour,
for the latter elastoplasticity is treated in depth. Furthermore, nonlinear
elastodynamics and non-steady heat conduction is considered.

Structure:
> Geometrical Nonlinearity
  - Finite-Element-Formulation of 3D-Beams and of Plates
  - Geometrical Nonlinear Volume Elements
> Numerical Solution Techniques: Newton-Raphson, Path-Following Algorithms
> Physically Nonlinear Problems with Small Strain
  - Elastoplasticity with Strain Hardening
  - Viscoplasticity
> FE-Methods in Dynamics
  - Eigenfrequency
  - Time Integration Algorithms of Nonlinear Dynamics
> Non-steady Heat-Conduction

Exercises
Weekly computer-exercises applying a finite-element software (FEAP) bridge
the gap between theory and application to engineering problems.
A written elaboration of the weekly exercises is prerequisite for the oral examination.

examination
oral, 30 minutes

credit points: 6

Literatur
O.C. Zienkiewicz, R.L. Taylor: The Finite Element Method, Volume 2: Mc Graw Hill
J.C. Simo, T.J.R. Hughes: Computational Inelasticity: Springer, 2000

Voraussetzungen
"Finite Element Methods I"- knowledge is helpful