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Intro to FEM
Transcript of Intro to FEM
FEA = Finite Element Analysis
Finite Element Modelling
Dipl.-phys., M.E. Wenx Hansen
Many elements together resemble the original shape of the object - and form a
Finite Element Analysis
Based on the idea of building a complicated object with many simple blocks, or, dividing a big problem into little ones:
Divide and Conquer!
(Even complicated) Shapes can be represented by simple geometries!
Continuous Fluid Mechanics
- build model and set boundary conditions
- solve system of equations
- visual and numerical display of results
stacks of MRI images (DICOM files)
segmentation (click click click)
Elements are connected by
It might be necessary to optimise the mesh by
the element size and mesh structure, depending on the object and goal.
It depends on the purpose...
Mostly, the created volume mesh is defective.
while maintaining the geometry!
Multiple meshes require contact definitions.
A first approach:
Abstract finite element model of the Achilles tendon-calcaneus unit.
Meshes of healthy & degenerated Achilles tendon
Static / quasi static FEA
Dynamic boundary conditions (motion analysis)
inflammation / thickening
Stress / strain behaviour around lesions?
Achilles tendon behaviour during gait/run/sports?
Achilles tendon behaviour differences between young/old/..?
3D stress distribution
Achilles tendon lab data: material/ mechanical properties and boundary conditions
needs a waterproof check
FEM of the Achilles Tendon
structure into pieces
Describe physical and mechanical properties for each element (
Connect the elements to form
system of equations
for whole mesh
the syst. of eq.
desired quantities (stress, strain, heat, flux, ...) at nodes / elements
case example: Simao's Achilles tendon
stress. strain. volume change. Poisson ratio. Young's modulus.
Insight into lesion development