In this paper, 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.
Asymptotic analysis of thin structures with point-dependent energy growth / Eleuteri, Michela; Prinari, Francesca; Zappale, Elvira. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - (2024), pp. 1-43. [10.1142/S0218202524500258]
Asymptotic analysis of thin structures with point-dependent energy growth
Michela Eleuteri;
2024
Abstract
In this paper, 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.
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