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arxiv: 1604.02267 · v1 · pith:EFSA5C7Pnew · submitted 2016-04-08 · 🧮 math.NA

Material Optimization for Nonlinearly Elastic Planar Beams

classification 🧮 math.NA
keywords beamsdistributionelasticmaterialnonlinearlyoptimalplanarconfirming
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We consider the problem of an optimal distribution of soft and hard material for nonlinearly elastic planar beams. We prove that under gravitational force the optimal distribution involves no microstructure and is ordered, and we provide numerical simulations confirming and extending this observation.

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