Free material optimization: recent progress

Michal Kocvara; M Stingl; J Zowe

doi:10.1080/02331930701778908

Free material optimization: recent progress

Michal Kocvara
, M Stingl
, J Zowe

Mathematics

Research output: Contribution to journal › Article

42 Citations (Scopus)

Abstract

We present a compact overview of the recent development in free material optimization (FMO), a branch of structural optimization. The goal of FMO is to design the ultimately best material (its mechanical properties and distribution in space) for a given purpose. We show that the current FMO models naturally lead to linear and non-linear semidefinite programming problems (SDP); their numerical tractability is then guaranteed by recently introduced SDP algorithms.

Original language	English
Pages (from-to)	79-100
Number of pages	22
Journal	Optimization
Volume	57
Issue number	1
DOIs	https://doi.org/10.1080/02331930701778908
Publication status	Published - 1 Jan 2008

Keywords

topology optimization
optimization of elastic structures
method of augmented Lagrangians
semidefinite programming
material optimization

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10.1080/02331930701778908

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AB - We present a compact overview of the recent development in free material optimization (FMO), a branch of structural optimization. The goal of FMO is to design the ultimately best material (its mechanical properties and distribution in space) for a given purpose. We show that the current FMO models naturally lead to linear and non-linear semidefinite programming problems (SDP); their numerical tractability is then guaranteed by recently introduced SDP algorithms.

KW - topology optimization

KW - optimization of elastic structures

KW - method of augmented Lagrangians

KW - semidefinite programming

KW - material optimization

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Free material optimization: recent progress

Abstract

Keywords

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