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# Non-Linear Finite Element Analysis (FEA)

 Duration: 1.5 days Delivery: E-learningOnsite Classroom Language: English Level: Advanced Availability: Worldwide Tutor(s): Tony Abbey
Break down your nonlinear problem into clearly defined steps.

Nonlinear behaviour 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, the 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.

### Course Program

#### Part 1: Overview of non-linear analysis

• Background to Non-linear
• Linear versus Non-linear
• Types of non-linearity
• Geometric non-linearity
• Example - oil tank
• Material Non-linearity
• Contact non-linearity
• Session 1 homework

#### Part 2: Geometric non-linear analysis in depth

• Review: Homework Session 1
• Large Displacement or Geometric Nonlinearity
• Shallow roof example
• Non-linear convergence strategy
• Real world boundary conditions
• Scope of the Analysis
• Session 2 Homework

#### Part 3: Buckling analysis in depth

• Review: Session 2 Homework
• Further Buckling
• Linear Buckling Rod Example
• Further Nonlinear Buckling

#### Part 4: Contact analysis in depth

• Contact surface methods
• Gap and slideline elements
• Background to contact technology
• Penalty and Lagrange methods
• Modern Contacts
• Contact types
• Setting up contacts
• Contact hints and tips

#### Part 5: Nonlinear Material analysis in depth

• Yield and Hardening
• Examples using Material nonlinearity
• Viscoelastic material analysis
• Hyperelastic material analysis
• Examples using Viscoelasticity and Hyperelasticity

• Mesh Adaptivity and Element erosion
• Nonlinear Transient Analysis
• Implicit versus explicit FE Analysis methods
• Explicit Background
• Explicit Examples
• Overview of Explicit Analysis
• Lagrangian and Eulerian Elements

### Who Should Attend?

Designers and engineers who are moving into the area of Non-Linear FEA, or need a refresher to brush-up their knowledge.

### Interested?

Get in touch to discuss your next steps with our experienced training team. We can work closely with you to understand your specific requirements, cater for your specific industry sector or analysis type, and produce a truly personalised training solution for your organisation.

All NAFEMS training courses are entirely code independent, meaning they are suitable for users of any software package.

Courses are available to both members and non-members of NAFEMS, although member organisations will enjoy a significant discount on all fees.

NAFEMS course tutors enjoy a world-class reputation in the engineering analysis community, and with decades of experience between them, will deliver tangible benefits to you, your analysis team, and your wider organisation.