Practical Introduction to Non-Linear Analysis

This non-linear Finite Element course is intended for delegates interested in learning how finite elements are used to analyse advanced non-linear problems, difficulties encountered in modelling real-life applications and guidelines for using non-linear finite element technology.

The objectives of this Finite Element course are:

• To provide delegates with an introduction to the fundamental theory of non-linear Finite Element analysis.
• To highlight the possible difficulties that may be encountered in using Finite Element software to analyse non-linear problems.

Course Program

Brief Overview of Linear Finite Element analysis

A brief overview of linear Finite Element formulation, numerical algorithms, etc. to provide a foundation for the non-linear formulation.

General Introduction to Non-linear problems

Classifications of non-linear problems, Comparison of linear and non-linear finite element analysis, Non-linear algorithms and procedures, Difficulties in modelling non-linear problems.

Plasticity

Basic plasticity theory, Uniaxial and multi-axial plasticity, Work hardening and cycle loading, finite element treatment of plasticity, Solution strategy and accuracy, Discussion of typical practical plasticity applications.

Creep and Visco-elasticity

Basic theory of creep, uniaxial and multiaxial creep therory, time and strain hardening, Explicit and implicit time integrations, Discussion of typical practical creep applications.

Contact Problems

Basic theory of contact mechanics, classification of contact configurations, Hertzian and non-Hertzian contact problems, finite element contact algorithms, Penalty methods and Lagrange multipliers, Difficulties in modelling contact problems, Tips and guidelines, Discussion of practical contact problems.

Geometric Non-linearity

Basic theory of geometric non-linearity, GNL stress-strain definitions, finite element algorithms for geometric non-linearities, buckling problems, Arc-length and line-search methods, Solution strategy and accuracy, Discussion of typical GNL problems.

Brief introduction to other advanced Finite Element Applications

A brief overview of fracture mechanics, fatigue analysis, thermo-mechnical problems, viscoelastic materials (polymers, plastics, rubbers), explicit finite element codes.