Asymptotic analysis of thin structures with point-dependent energy growth-Reference-Cited by-同舟云学术

Asymptotic analysis of thin structures with point-dependent energy growth

Published:2024-04-13 Issue:08 Volume:34 Page:1401-1443
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

Eleuteri Michela¹^ORCID,Prinari Francesca²^ORCID,Zappale Elvira³^ORCID

Affiliation:

1. Dipartimento di Scienze Fisiche, Informatiche e Matematiche, Università degli Studi di Modena e Reggio Emilia, Via Campi 213/b, 41125 Modena, Italy

2. Dipartimento di Scienze Agrarie, Alimentari e Agro-ambientali, Università degli Studi di Pisa, Via del Borghetto, 56124 Pisa, Italy

3. Dipartimento di Scienze di Base e Applicate per l’Ingegneria, Sapienza Università di Roma, Via Antonio Scarpa, 16, 00161 Roma, Italy

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 [Formula: see text]-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.

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202524500258

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