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A note on $3$d-$1$d dimension reduction with differential constraints

Kreisbeck, Carolin


Starting from three-dimensional variational models with energies subject to a general type of PDE constraint, we use Gamma-convergence methods to derive reduced limit models for thin strings by letting the diameter of the cross section tend to zero. A combination of dimension reduction with homogenization techniques allows for addressing the case of thin strings with fine heterogeneities in the ...


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