Implicit Boundary Representation; Level Set Method; Machining
Abstract :
[en] This work aims at improving implicit representation of complex industrial work-pieces by
reducing the existing gap between Computer Aided Design (CAD) and Computer Aided
Engineering (CAE).
The proposed approach is based on the level-set technique [1]. Some novel results for
accurate implicit representation of boundary include exact capture of sharp features as
well as suitable approximation of curved boundaries for nite element computations [2].
This is done by detecting automatically geometrical points of the geometry and use this
information in the implicit representation. Then, a Sweep Line Algorithm is used to
subdivide the elements containing these geometrical points [3].
The method is general enough in order to describe automatically any arbitrary surface.
All the developments are implemented in the commercial nite element package Mor-
feo. Numerous applications can bene t from these developments including Cartesian grid
problems as well as crack propagation with the X-FEM method. In this presentation,
application to transient machining simulations will be illustrated.
