Stress constrained 𝐺 closure and relaxation of structural design problems

Lipton, Robert

doi:10.1090/qam/2054601

Stress constrained $G$ closure and relaxation of structural design problems

Author: Robert Lipton
Journal: Quart. Appl. Math. 62 (2004), 295-321
MSC: Primary 74Q05; Secondary 74P99
DOI: https://doi.org/10.1090/qam/2054601
MathSciNet review: MR2054601
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Abstract: A generic relaxation for stress constrained optimal design problems is presented. It is accomplished by introducing the stress constrained G closure. For a finite number of stress constraints, an explicit characterization of the stress constrained G closure is given. It is shown that the stress constrained G closure is characterized by all G limits together with their derivatives. A local representation of the set of all G limits and their derivatives is developed.

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