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- W4302332888 abstract "We perform a multiscale analysis for the elastic energy of a $n$-dimensional bilayer thin film of thickness $2delta$ whose layers are connected through an $epsilon$-periodically distributed contact zone. Describing the contact zone as a union of $(n-1)$-dimensional balls of radius $rll epsilon$ (the holes of the sieve) and assuming that $delta ll epsilon$, we show that the asymptotic memory of the sieve (as $epsilon to 0$) is witnessed by the presence of an extra interfacial energy term. Moreover we find three different limit behaviors (or regimes) depending on the mutual vanishing rate of $delta$ and $r$. We also give an explicit nonlinear capacitary-type formula for the interfacial energy density in each regime." @default.
- W4302332888 created "2022-10-06" @default.
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- W4302332888 date "2006-05-30" @default.
- W4302332888 modified "2023-10-16" @default.
- W4302332888 title "The Neumann sieve problem and dimensional reduction: a multiscale approach" @default.
- W4302332888 doi "https://doi.org/10.48550/arxiv.math/0605769" @default.
- W4302332888 hasPublicationYear "2006" @default.
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