The goal of this paper is twofold. On one hand, our work revisits the minimization of the robust compliance in shape optimization, with a more natural and more general approach than what has been done before. On the other hand, following a more recent viewpoint on robust optimization, we study the maximization of the so-called stability radius for a fixed maximal compliance. We provide theorical as well as numerical results.
DOI : 10.1051/cocv/2014066
Mots-clés : Robustness, stability radius, compliance, topological derivative, topology optimization
@article{COCV_2016__22_1_64_0,
author = {Amstutz, Samuel and Ciligot-Travain, Marc},
title = {A notion of compliance robustness in topology optimization},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {64--87},
publisher = {EDP-Sciences},
volume = {22},
number = {1},
year = {2016},
doi = {10.1051/cocv/2014066},
zbl = {1335.49069},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/cocv/2014066/}
}
TY - JOUR AU - Amstutz, Samuel AU - Ciligot-Travain, Marc TI - A notion of compliance robustness in topology optimization JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2016 SP - 64 EP - 87 VL - 22 IS - 1 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/cocv/2014066/ DO - 10.1051/cocv/2014066 LA - en ID - COCV_2016__22_1_64_0 ER -
%0 Journal Article %A Amstutz, Samuel %A Ciligot-Travain, Marc %T A notion of compliance robustness in topology optimization %J ESAIM: Control, Optimisation and Calculus of Variations %D 2016 %P 64-87 %V 22 %N 1 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/cocv/2014066/ %R 10.1051/cocv/2014066 %G en %F COCV_2016__22_1_64_0
Amstutz, Samuel; Ciligot-Travain, Marc. A notion of compliance robustness in topology optimization. ESAIM: Control, Optimisation and Calculus of Variations, Tome 22 (2016) no. 1, pp. 64-87. doi : 10.1051/cocv/2014066. http://archive.numdam.org/articles/10.1051/cocv/2014066/
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