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 |
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Pages (from-to) | 79-100 |
Number of pages | 22 |
Journal | Optimization |
Volume | 57 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 2008 |
Keywords
- topology optimization
- optimization of elastic structures
- method of augmented Lagrangians
- semidefinite programming
- material optimization