Lipton, Robert Stress-constrained G-closure and relaxation of structural design problems. (English) Zbl 1075.74066 Q. Appl. Math. 62, No. 2, 295-321 (2004). Summary: 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. Cited in 6 Documents MSC: 74Q05 Homogenization in equilibrium problems of solid mechanics 74P99 Optimization problems in solid mechanics Keywords:\(G\)-limits PDFBibTeX XMLCite \textit{R. Lipton}, Q. Appl. Math. 62, No. 2, 295--321 (2004; Zbl 1075.74066) Full Text: DOI