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 de...

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Bibliographic Details
Published in:SIAM journal on applied mathematics 2010-01, Vol.70 (7/8), p.2709-2728
Main Authors: HASLINGER, J., KOČVARA, M., LEUGERING, G., STINGL, M.
Format: Article
Language:English
Subjects:
Algorithms
Applied mathematics
Approximation
Cost functions
Design optimization
Displacement
Finite element method
Homogenization
Mathematical analysis
Mathematical models
Multidisciplinary
Nonlinear programming
Optimal solutions
Optimization
Stiffness
Studies
Tensors
Topology
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Summary: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.
ISSN:0036-1399
1095-712X
DOI:10.1137/090774446