# Practical Introduction to Non-Linear Finite Element Analysis (FEA)

## 2-day training course

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.

## Who Should Attend

This non-linear finite element course is aimed at engineers and scientists who want to gain an understanding of the fundamental theory of non-linear Finite Element Analysis, solution accuracy, difficulties and application to practical problems.

As this is an advanced Finite Element course, a pre-requisite for this course is a reasonable knowledge of linear Finite Element theory and applications. However, no prior knowledge of non-linear Finite Element theory is required. The course is independent of any finite element software code.

## Technical Content

●  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

### Interested in this Course?

Please complete this form if you are interested in scheduling an on-site training session, or if you would like to be notified of the next public course session.