×

Stress-constrained G-closure and relaxation of structural design problems. (English) Zbl 1075.74066

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.

MSC:

74Q05 Homogenization in equilibrium problems of solid mechanics
74P99 Optimization problems in solid mechanics

Keywords:

\(G\)-limits
PDFBibTeX XMLCite
Full Text: DOI