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Multidisciplinary Free Material Optimization

J Haslinger(hasling***at***karlin.mff.cuni.cz)
M Kocvara(kocvara***at***maths.bham.ac.uk)
G Leugering(leugering***at***am.uni-erlangen.de)
M Stingl(stingl***at***am.uni-erlangen.de)

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 FMO problem and discuss convergent approximation schemes based on the finite element method.

Keywords: structural optimization, material optimization, H-convergence, semidefinite programming, nonlinear programming

Category 1: Applications -- Science and Engineering (Multidisciplinary Design Optimization )

Category 2: Applications -- Science and Engineering (Mechanical Engineering )

Category 3: Linear, Cone and Semidefinite Programming (Semi-definite Programming )

Citation: Preprint 2009/10, School of Mathematics, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK

Download: [PDF]

Entry Submitted: 12/03/2009
Entry Accepted: 12/03/2009
Entry Last Modified: 12/03/2009

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