Thickness control in structural optimization via a level set method

@inproceedings{Allaire2011ThicknessCI,
title={Thickness control in structural optimization via a level set method},
author={Gr{\'e}goire Allaire and François Jouve and G. Michailidis},
year={2011}
}

In the context of structural optimization via a level-set method we propose a framework to handle geometric constraints related to a notion of local thickness. The local thickness is calculated using the signed distance function to the shape. We formulate global constraints using integral functionals and compute their shape derivatives. We discuss different strategies and possible approximations to handle the geometric constraints. We implement our approach in two and three space dimensions for… CONTINUE READING