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pro vyhledávání: '"Griso, Georges"'
This paper focuses on the simultaneous homogenization and dimension reduction of periodic composite plates within the framework of non-linear elasticity. The composite plate in its reference (undeformed) configuration consists of a periodic perforate
Externí odkaz:
http://arxiv.org/abs/2401.03928
The work is motivated by the Faraday cage effect. We consider the Helmholtz equation over a 3D-domain containing a thin heterogeneous interface of thickness $\delta \ll 1$. The layer has a $\delta-$periodic structure in the in-plane directions and is
Externí odkaz:
http://arxiv.org/abs/2212.04671
The paper is dedicated to the investigation of simultaneous homogenization and dimension reduction of textile structures as elasticity problem with an energy in the von-K{\'a}rm{\'a}n-regime. An extension for deformations is presented allowing to use
Externí odkaz:
http://arxiv.org/abs/1912.10928
Akademický článek
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Publikováno v:
Ricerche di Matematica; Nov2024, Vol. 73 Issue 5, p2505-2539, 35p
In this paper, we consider rods whose thickness vary linearly between $\eps$ and $\eps^2$. Our aim is to study the asymptotic behavior of these rods in the framework of the linear elasticity. We use a decomposition method of the displacement fields o
Externí odkaz:
http://arxiv.org/abs/1605.07871
In this work we consider the elasticity problem for two domains separated by a heterogeneous layer. The layer has an $\varepsilon-$periodic structure, $\varepsilon\ll1$, including a multiple micro-contact between the structural components. The compon
Externí odkaz:
http://arxiv.org/abs/1511.07744
We consider a thin heterogeneous layer consisted of the thin beams (of radius $r$) and we study the limit behaviour of this problem as the periodicity $\varepsilon$, the thickness $\delta$ and the radius $r$ of the beams tend to zero. The decompositi
Externí odkaz:
http://arxiv.org/abs/1511.04620
Autor:
Falconi, Riccardo1 (AUTHOR) falconi@itwm.fhg.de, Griso, Georges2 (AUTHOR) griso@ljll.math.upmc.fr, Orlik, Julia1 (AUTHOR) orlik@itwm.fhg.de
Publikováno v:
Asymptotic Analysis. 2023, Vol. 132 Issue 3/4, p383-407. 25p.
Publikováno v:
In Journal de mathématiques pures et appliquées December 2020 144:164-193