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Training Class Description
Nonlinear Analysis using
Many problems facing designers and engineers are nonlinear in nature. The response of
a structure cannot be simply assessed using linear assumptions.

Nonlinear behavior can take many forms and can be bewildering to the newcomer. All
physical systems in the real world are inherently nonlinear in nature.

One of the most difficult tasks facing an engineer is to decide whether a nonlinear
analysis is really needed and if so what degree of nonlinearity should be applied.
Looking at a bolt heavily loaded in an attachment fitting, it may be that the change in
stiffness and load distribution path are critical in evaluating peak stress levels. Perhaps
the assembly is in an overload condition and we need to check that plastic growth is
stable and there is no ultimate failure – bent but not broken!

A flange on a connector arm may be under compressive load, but also sees heavy
bending. We need to assess the resistance to buckling with deflection dependent loading
paths and possible plastic behavior.

Whatever the nature of the challenge, this objective of this course is to break down the
nonlinear problem into clearly defined steps, give an overview of the physics involved and
show how to successfully implement practical solutions using Finite Element Analysis.

The course is completely code independent. No software is required.

Each topic in the class is treated as a building block and is presented using an overview
of the physics and theory involved. The math is kept simple and the emphasis is on
practical examples from real life to illustrate the topic. The mapping to Finite Element
analysis techniques is shown with numerous workshops. The tutor will be running
analysis interactively and involving the students in the process via Q and A periods during
each session, follow up emails and a Course Bulletin Board

Students are shown the various approximation methods and how to judge which are
acceptable and appropriate for solving a wide range of practical problems. Practical
considerations of types of nonlinearity, solutions available, elements to use and
structural details are shown by numerous examples.

Of equal importance is the assessment and interpretation of results. This starts with
ensuring a building block linear solution is feasible and accurate. Once this stage is
completed then the degree of nonlinear complexity is gradually increased until an
effective simulation of the real world event is developed.  A range of hints and tips are
shown for a wide range of different nonlinear analysis types.

Interaction is encouraged throughout the course. Students are welcome to send in
problems from Industry and these will be discussed as time permits.

Full notes are provided for the students, together with personal passwords for e-learning
backup material, bulletin board access etc.
This course is aimed at practicing engineers who wish to learn more about how to apply
finite element techniques to nonlinear analysis in the most effective manner. Ideally a
student should have some experience of FEA analysis, but this is not essential.

The material that is presented is independent of any particular software package,
making it ideally suited to current and potential users of all commercial finite element
software systems. This course is a must for all engineers aiming to use FEA as a
reliable predictive tool for nonlinear analysis.
Who Should Attend?
Class Program
Session 1
•        Finite Element Analysis Overview
•        Introduction to Nonlinear Analysis
•        Linear Versus Nonlinear Structural Analysis
•        Overview of Types of nonlinearity
  •        Geometric
  •        Buckling
  •        Material
  •        Contact
  •        Boundary Conditions
  •        Follower Forces
•        Theoretical background
•        Strategy for Nonlinear Analysis
•        Guidelines for Nonlinear Static Analysis
•        Homework – simple nonlinear examples
Session 2
•        Homework review
•        Large Displacement or Geometric Nonlinearity
•        Nonlinear buckling behavior and methods
•        Case Studies showing geometric and buckling nonlinear behavior
•        Tips and hints for geometric nonlinearity
•        Contact surface methods
•        Pseudo Linear and Nonlinear contact solutions
•        Case Studies and tips for using contact analysis
•        Homework – geometric nonlinearity and contact examples
Session 3
•        Homework Review
•        Nonlinear material analysis
•        Types of material nonlinearity – strain and thermal dependency
•        Case Studies using small displacement nonlinear material models
•        Hyperelastic material analysis
•        Mesh Adaptivity and element erosion
•        Case studies with highly nonlinear materials
•        Summary of material nonlinearity with hints and tips
•        Homework – small and large strain material nonlinearity

Session 4

•        Homework Review
•        Effects of boundary condition and follower force nonlinearity
•        Case studies using boundary condition and follower force nonlinearity
•        Review of dynamic analysis methods
•        Non-linear Transient Analysis
•        Implicit versus explicit FE Analysis methods
•        Overview of Impact Analysis
In Partnership with
Why an e-Learning class?
In the current climate travel and training budgets are tight. To help you still meet your
training needs the following e-learning course has been developed to complement the
live class. The e-learning course runs over a four week period with a single two hour
session per week.

E-learning classes are ideal for companies with a group of engineers requiring training.
E-learning classes can be provided to suit your needs and timescale. Contact us to
discuss your requirements