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Optimization of light structures: the vanishing mass conjecture

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Publication:4460931
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zbMath1179.74096arXiv2001.02022MaRDI QIDQ4460931

Guy Bouchitté

Publication date: 29 March 2004

Full work available at URL: https://arxiv.org/abs/2001.02022


zbMATH Keywords

optimality conditionsconvex functionalminimal complianceMonge-Kantorovich approach


Mathematics Subject Classification ID

Compliance or weight optimization in solid mechanics (74P05)


Related Items (8)

Michell truss type theories as a \(\Gamma\)-limit of optimal design in linear elasticity ⋮ Optimality conditions for mass design problems and applications to thin plates ⋮ Michell trusses in two dimensions as a \(\Gamma \)-limit of optimal design problems in linear elasticity ⋮ Shape optimization of light structures and the vanishing mass conjecture ⋮ Optimization of structural topology in the high-porosity regime ⋮ Extension theorems for vector valued maps ⋮ Structural optimization of thin elastic plates: the three-dimensional approach ⋮ Setting the free material design problem through the methods of optimal mass distribution




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