Multidisciplinary Free Material Optimization
Haslinger J, Kocvara M, Leugering G, Stingl M (2010)
Publication Type: Journal article
Publication year: 2010
Journal
Publisher: Society for Industrial and Applied Mathematics
Book Volume: 70
Pages Range: 2709
Volume: 70
Issue: 7
Journal Issue: 7
DOI: 10.1137/090774446
Abstract
We present a mathematical framework for the so-called multidisciplinary free material optimization (MDFMO) problems, a branch of structural optimization in which the full material tensor is considered as a design variable. We extend the original problem statement by a class of generic constraints depending either on the design or on the state variables. Among the examples are local stress or displacement constraints. We show the existence of optimal solutions for this generalized free material optimization (FMO) problem and discuss convergent approximation schemes based on the finite element method.
Authors with CRIS profile
Günter Leugering
Lehrstuhl für Angewandte Mathematik
Michael Stingl
Lehrstuhl für Angewandte Mathematik (Kontinuierliche Optimierung)
Additional Organisation(s)
Involved external institutions
Univerzita Karlova v Praze / Charles University in Prague
Czech Republic (CZ)
University of Birmingham
United Kingdom (GB)
Czech Republic (CZ)
University of Birmingham
United Kingdom (GB)
How to cite
APA:
Haslinger, J., Kocvara, M., Leugering, G., & Stingl, M. (2010). Multidisciplinary Free Material Optimization. SIAM Journal on Applied Mathematics, 70(7), 2709. https://doi.org/10.1137/090774446
MLA:
Haslinger, J., et al. "Multidisciplinary Free Material Optimization." SIAM Journal on Applied Mathematics 70.7 (2010): 2709.
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