preprint

Inserted: 1 jun 2023
Last Updated: 27 feb 2024

Journal: Mathematical Models and Methods in Applied Sciences
Year: 2023

to appear in

Abstract:

$3d-2d$ dimensional reduction for hyperelastic thin films modeled through energies with point dependent growth, assuming that the sample is clamped on the lateral boundary, is performed in the framework of $\Gamma$-convergence. Integral representation results, with a more regular lagrangian related to the original energy density, are provided for the lower dimensional limiting energy, in different contexts.