Free material optimization: recent progress
Free material optimization: recent progress
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DOI：
10.1080/02331930701778908
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发表时间：
2008-02
期刊：
影响因子：
2.2
通讯作者：
M. Kočvara;M. Stingl;J. Zowe
中科院分区：
文献类型：
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作者：
M. Kočvara;M. Stingl;J. Zowe
我们提出了一个紧凑的概述，在自由材料优化（FMO）的最新发展，结构优化的一个分支。FMO的目标是为给定的目的设计最终最好的材料（其机械性能和空间分布）。我们证明了当前的FMO模型自然导致线性和非线性半定规划问题（SDP）；然后通过最近引入的SDP算法保证了它们的数值可跟踪性。†在Bert Jongen 60岁生日之际献给他。
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. †Dedicated to Bert Jongen on the occasion of his 60th birthday.