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Heterogeneous Thin Films: Combining Homogenization and Dimension Reduction with Directors

Kreisbeck, Carolin ; Krömer, Stefan


We analyze the asymptotic behavior of a multiscale problem given by a sequence of integral functionals subject to differential constraints conveyed by a constant-rank operator with two characteristic length scales, namely, the film thickness and the period of oscillating microstructures, by means of Gamma-convergence. On a technical level, this requires a subtle merging of homogenization tools, ...


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