Volumetric expressions of the shape gradient of the compliance in structural shape optimization
Optimization and Control
2017-01-23 v1 Numerical Analysis
Abstract
In this article, we consider the problem of optimal design of a compliant structure under a volume constraint, within the framework of linear elasticity. We introduce the pure displacement and the dual mixed formulations of the linear elasticity problem and we compute the volumetric expressions of the shape gradient of the compliance by means of the velocity method. A preliminary qualitative comparison of the two expressions of the shape gradient is performed through some numerical simulations using the Boundary Variation Algorithm.
Keywords
Cite
@article{arxiv.1701.05762,
title = {Volumetric expressions of the shape gradient of the compliance in structural shape optimization},
author = {Matteo Giacomini and Olivier Pantz and Karim Trabelsi},
journal= {arXiv preprint arXiv:1701.05762},
year = {2017}
}