Multidisciplinary Free Material Optimization

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Multidisciplinary Free Material Optimization
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 FMO problem and discuss convergent approximation schemes based on the finite element method. Key words. structural optimization, material optimization, H-convergence, semidefinite programming, nonlinear programming AMS subject classifications. 74B05, 74P05, 90C90, 90C30, 90C22
Jaroslav Haslinger, Michal Kocvara, Günter Le
Added 30 Jan 2011
Updated 30 Jan 2011
Type Journal
Year 2010
Authors Jaroslav Haslinger, Michal Kocvara, Günter Leugering, Michael Stingl
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