Optimal structural design and relaxed controls

DOI10.1002/oca.4660040410zbMath0526.49003OpenAlexW2115706843WikidataQ126239285 ScholiaQ126239285MaRDI QIDQ3041837

Cherkaev, Andrej V., Konstantin A. Lurie

Publication date: 1983

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.4660040410

zbMATH Keywords

homogenizationcomposite materialsG-convergencerelaxed controlsoptimal structural design

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Composite and mixture properties (74E30) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20)

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A saddle-point theorem with application to structural optimization ⋮ Phase transformations surfaces and exact energy lower bounds ⋮ Least-weight design of perforated elastic plates for given compliance: Nonzero Poisson's ratio ⋮ Variational bounds on the effective moduli of anisotropic composites ⋮ An existence theory for a minimum energy problem

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