# Beniamin BOGOSEL

### Optimization of Supports in Additive Manufacturing

This work is in collaboration with GrÃ©goire Allaire and Martin Bihr.

This is a companion webpage for the article: Support optimization in additive manufacturing for geometric and thermo-mechanical constraints.

Below you will find a recap of the results shown in the paper together with most of the data required to redo the computations. For the geometric methods a triangulation of the surface of $\partial \omega$ is given. For the results of the topology optimization algorithms the mesh, parameters, initialization and final results are shown.

### Geometric methods

Below are the files used in the optimization of the orientation using geometric criteria. These are Matlab .mat files containing a structure with fields (among others):

- "points": containing the coordinates of the points
- "t": containing the triangulation as indices in the points array

### Shape and Topology Optimization

The images below are created with the software **xd3d** by FranÃ§ois Jouve.

#### U-shaped Tube

The support may touch the shape $\omega$ | |

Remove all Dirichlet conditions from $\partial\omega$: the support may still touch the shape | |

Remove all Dirichlet conditions from $\partial\omega$ and add penalization term. The support does not touch the part! |

#### Three half U-tubes

The objective here is to obtain common supports for the same shape, repeated three times.

The support may touch the shape | |

Remove all Dirichlet conditions from $\partial\omega$: the support may still touch the shape |

Created: Sept 2019, Last modified: Sept 2019