AdvancedTopic 106 of 106Engineering Mechanics
Nonlinear finite element analysis
Handles large deformation, plasticity and contact by iterative load stepping.
In depth
Nonlinear FEA includes geometric nonlinearity (large deformation), material nonlinearity (plasticity, hyperelasticity) and contact. Loads are applied in increments with Newton-Raphson iteration. Convergence needs good meshes and careful contact settings.
Key points
- Tangent stiffness
- Load stepping
- Arc-length for buckling
ExampleSimulating a snap-fit clip or crash deformation.
Nonlinear finite element analysis handles large deformation, yielding and contact, which are common in crash, forming and seal design.
What is Nonlinear finite element analysis?
Handles large deformation, plasticity and contact by iterative load stepping.
Why is it important to understand nonlinear finite element analysis?
Nonlinear finite element analysis handles large deformation, yielding and contact, which are common in crash, forming and seal design.
When do I need nonlinear analysis?
When deformations are large, materials yield, or contact changes during loading, because a linear model would give errors of significant size.
Why does nonlinear analysis take longer?
It solves a sequence of linear problems with iterations and load steps, and each step must converge before the next is applied.
How is Nonlinear finite element analysis used in practice?
Typical applications include simulating the crash deformation of a car front rail, modelling the forming of a sheet metal part in a press and checking the sealing force on a rubber gasket under compression.
What should I learn before Nonlinear finite element analysis?
Study "Fatigue life prediction" first (topic 105 of 106 in Engineering Mechanics). It covers the groundwork this topic builds on.
What are the key points of Nonlinear finite element analysis?
Tangent stiffness. Load stepping. Arc-length for buckling.
Can you give an example of Nonlinear finite element analysis?
Simulating a snap-fit clip or crash deformation.
What comes after Nonlinear finite element analysis?
This is the final topic in Engineering Mechanics.
How difficult is Nonlinear finite element analysis?
It is classed as Advanced in Engineering Mechanics (topic 106 of 106). It is an advanced topic. It assumes you are comfortable with the intermediate topics in Engineering Mechanics.