3D-1D dimension reduction is deduced, via λ-convergence, for a nonlinear optimal design problem with a penalization on the interface of the different constituents. An integral representation for the limit functional is obtained in the case where the hyperelastic energy density satisfies either growth conditions of Orlicz-Sobolev type or non standard ones.
A note on optimal design problems in dimension reduction
Zappale E.
2017-01-01
Abstract
3D-1D dimension reduction is deduced, via λ-convergence, for a nonlinear optimal design problem with a penalization on the interface of the different constituents. An integral representation for the limit functional is obtained in the case where the hyperelastic energy density satisfies either growth conditions of Orlicz-Sobolev type or non standard ones.File in questo prodotto:
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