Two-scale homogenization to determine effective parameters of thin metallic-structured films
نویسندگان
چکیده
منابع مشابه
Homogenization of oscillating boundaries and applications to thin films
The study carried on in this paper draws its motivation from the problem of the asymptotic description of nonlinearly elastic thin films with a fast-oscillating profile. The behaviour of such films is governed by an elastic energy, where two parameters intervene: a first parameter ε represents the thickness of the thin film and a second one δ the scale of the oscillations. The analytic descript...
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Following an idea of G. Nguetseng, the author defines a notion of "two-scale" convergence, which is aimed at a better description of sequences of oscillating functions. Bounded sequences in L2(f) are proven to be relatively compact with respect to this new type of convergence. A corrector-type theorem (i.e., which permits, in some cases, replacing a sequence by its "two-scale" limit, up to a st...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2016
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2016.0068