14 citations · 18 across the 9 of their papers we have counts for
9 papers
Homogenization of a thin linear elastic plate reinforced with a periodic mosaic of small rigid plates
Amartya Chakrabortty, Georges Griso, Julia Orlik
In the framework of linearized elasticity, we study thin elastic composite plates with thickness . The plates contain small, rigid rectangular plates distributed periodically al…
Homogenization, dimension reduction and linearization of thin elastic plate
Amartya Chakrabortty, Georges Griso, Julia Orlik
This paper investigates the homogenization, dimension reduction, and linearization of a composite plate subjected to external loading within the framework of non-linear elasticity…
Dimension reduction and homogenization of composite plate with matrix pre-strain
Amartya Chakrabortty, Georges Griso, Julia Orlik
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…
Homogenization of Helmholtz equation in a periodic layer to study Faraday cage-like shielding effects
S Aiyappan, Georges Griso, Julia Orlik
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 . The layer has…
Variational Modeling of Paperboard Delamination Under Bending
Patrick Dondl, Sergio Conti, Julia Orlik
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 ex…
Asymptotic Behavior for Textiles in von-K{á}rm{á}n regime
Georges Griso, Julia Orlik, Stephan Wackerle
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{á}rm{á}n-…
Homogenization of contact problem with Coulomb's friction on periodic cracks
G. Griso, J. Orlik
We consider the elasticity problem in a %heterogeneous domain with contact on multiple periodic open cracks. The contact is described by the Signorini and Coulomb-friction conditio…
Homogenization via unfolding in periodic layer with contact
Georges Griso, Anastasia Migunova, Julia Orlik
In this work we consider the elasticity problem for two domains separated by a heterogeneous layer. The layer has an periodic structure, , including…
Homogenization via unfolding in domains separated by the thin layer of the thin beams
Georges Griso, Anastasia Migunova, Julia Orlik
We consider a thin heterogeneous layer consisted of the thin beams (of radius ) and we study the limit behaviour of this problem as the periodicity , the thickness…