Zobrazeno 1 - 10
of 122
pro vyhledávání: '"Orlik, Julia"'
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 homogenization of elliptic divergence-type fourth-order operators with periodic coefficients is studied in a (periodic) domain. The aim is to find an operator with constant coefficients and represent the equation through a perturbation around thi
Externí odkaz:
http://arxiv.org/abs/2401.02743
This paper presents an efficient coupling of the 3D Stokes flow interacting with an effective perforated periodic heterogeneous anisotropic 2D plate. The effective model was obtained by the asymptotic analysis in earlier works and here an effective n
Externí odkaz:
http://arxiv.org/abs/2401.00331
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
We develop and analyze a variational model for multi-ply (i.e., multi-layered) paperboard. The model consists of a number of elastic sheets of a given thickness, which -- at the expense of an energy per unit area -- may delaminate. By providing an ex
Externí odkaz:
http://arxiv.org/abs/2110.08672
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 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