Kočvara, Michal; Zowe, Jochem Free material optimization. (English) Zbl 0905.73043 Doc. Math., Extra Vol. ICM Berlin 1998, vol. III, 707-716 (1998). Free material design deals with the question of finding the stiffest structure with respect to one or more given loads which can be made when both the distribution of material and the material itself can be freely varied. We consider here the general multiple-load situation. After a series of transformation steps, we reach a problem formulation for which we can prove existence of a solution. A suitable discretization leads to a semidefinite programming problem for which modern polynomial time algorithms of interior-point type are available. Two numerical examples demonstrates the efficiency of our approach. Reviewer: M.Kočvara, J.Zowe (Erlangen) Cited in 3 Documents MSC: 74P99 Optimization problems in solid mechanics 90C34 Semi-infinite programming Keywords:structural optimization; topology optimization; general multiple-load formulation; semidefinite programming; polynomial time algorithms of interior-point type PDFBibTeX XMLCite \textit{M. Kočvara} and \textit{J. Zowe}, Doc. Math. Extra Vol., 707--716 (1998; Zbl 0905.73043) Full Text: EMIS