Asymptotic Behavior of Unstable Structures Made of Beams

G Griso, L Khilkova, J Orlik - Journal of Elasticity, 2022 - Springer
In our previous papers (Griso et al. in J. Elast. 141: 181–225,; J. Elast.,, https://doi.
org/10.1007/s10659-021-09816-w), we considered thick periodic structures (first paper) and …

Homogenization of perforated elastic structures

G Griso, L Khilkova, J Orlik, O Sivak - Journal of Elasticity, 2020 - Springer
The paper is dedicated to the asymptotic behavior of ε ε-periodically perforated elastic (3-
dimensional, plate-like or beam-like) structures as ε→ 0 ε→0. In case of plate-like or beam …

[HTML][HTML] Free vibration of perforated cylindrical shells of revolution: Asymptotics and effective material parameters

S Giani, H Hakula - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
Free vibration characteristics of thin perforated shells of revolution vary depending not only
on the dimensionless thickness of the shell but also on the perforation structure. For any …

Asymptotic behavior for textiles with loose contact

J Orlik, R Falconi, G Griso… - Mathematical Methods in …, 2023 - Wiley Online Library
The paper is dedicated to the modeling of the elasticity problem for a textile structure. The
textile is made of long and thin fibers, crossing each other in a periodic pattern, forming a …

Asymptotically proved numerical coupling of a 2D flexural porous plate with the 3D Stokes fluid

M Krier, J Orlik, G Panasenko, K Steiner - Multiscale Modeling & Simulation, 2024 - SIAM
A numerical workflow for a linear multiscale fluid-structure interaction (FSI) problem between
3D Stokes flow and an effective porous, homogenized 2D plate is presented. The underlying …

Asymptotic behavior of stable structures made of beams

G Griso, L Khilkova, J Orlik, O Sivak - Journal of Elasticity, 2021 - Springer
In this paper, we study the asymptotic behavior of an ε ε-periodic 3D stable structure made of
beams of circular cross-section of radius rr when the periodicity parameter ε ε and the ratio …

Asymptotic behavior for textiles

G Griso, J Orlik, S Wackerle - SIAM Journal on Mathematical Analysis, 2020 - SIAM
The paper is dedicated to the asymptotic investigation of textiles as an elasticity problem on
beam structures. The structure is subjected to a simultaneous homogenization and …

Periodic unfolding for lattice structures

R Falconi, G Griso, J Orlik - Ricerche di Matematica, 2024 - Springer
This paper deals with the periodic unfolding for sequences defined on one dimensional
lattices in RN. In order to transfer the known results of the periodic unfolding in RN to lattices …

[HTML][HTML] Asymptotic behavior for textiles in von-Kármán regime

G Griso, J Orlik, S Wackerle - Journal de Mathématiques Pures et …, 2020 - Elsevier
This paper is dedicated to the investigation of simultaneous homogenization and dimension
reduction of textile structures as elasticity problem with an energy in the von-Kármán-regime …

[HTML][HTML] Modelling of flat pre-strain driven structures, folding to desired surface and application to 3D-printing on textiles

J Orlik, D Neusius, A Chakrabortty, S Backes… - International Journal of …, 2025 - Elsevier
This paper provides an algorithm for the 3D printing technology, decomposing the entire
surface into subdomains of different curvature, to be covered by distance holding reinforcing …