Laurent Van Miegroet
Research:
Shape and topology optimization using the eXtended Finite Element Method (X-FEM) and a Level Set Description.
Examples of applications:
Stress minimization of a fillet in 2D
Fillet geometry in 2D and fixed mesh used during the optimization problem (1/4 of the problem is studied). The optimizable boundary is represented with a Level Set:
Optimization from intial geometry (left) to optimal geometry (right). Reduction of stress intensity factor from 1.56 to 1.12.
Volume minimization with stress constraint of a 2D rod in traction
Initial geometry:
Optimal geometry with non conforming mesh adaptation (the mesh represents the design domain):
3D shape optimization of suspension arm
Animations of X-FEM and Level Set optimization
Videos
- Constructive Solid Geometry with unconforming mesh and Level Set
- Minimizing volume with stress constraints without hole
- Minimizing volume with stress constraints
- 2D rod optimization
- 3D suspension arm
- 3D Rod