Laurent Van Miegroet


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