3 D − 2 D dimensional reduction for hyperelastic thin films modelled through energies with point-dependent growth, assuming that the sample is clamped on the lateral boundary, is performed in the framework of Γ-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).
Asymptotic analysis of thin structures with point-dependent energy growth
Elvira Zappale
2024
Abstract
3 D − 2 D dimensional reduction for hyperelastic thin films modelled through energies with point-dependent growth, assuming that the sample is clamped on the lateral boundary, is performed in the framework of Γ-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.| File | Dimensione | Formato | |
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