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The periodic unfolding method
In the late 1960's and early 1970's, the theory of homogenization became in its own right a
new part of the branch of mathematics concerning partial differential equations and their …
new part of the branch of mathematics concerning partial differential equations and their …
The periodic unfolding method in homogenization
The periodic unfolding method was introduced in 2002 in Cioranescu, Damlamian, and
Griso, CR Acad. Sci. Paris, Ser. 1, 335 (2002), pp. 99–104 (with the basic proofs in …
Griso, CR Acad. Sci. Paris, Ser. 1, 335 (2002), pp. 99–104 (with the basic proofs in …
Asymptotic behavior for textiles with loose contact
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 …
textile is made of long and thin fibers, crossing each other in a periodic pattern, forming a …
Homogenization of perforated elastic structures
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 …
dimensional, plate-like or beam-like) structures as ε→ 0 ε→0. In case of plate-like or beam …
[HTML][HTML] Thin domains with non-smooth periodic oscillatory boundaries
In this work we study in detail how to adapt the unfolding operator method to thin domains
with periodic oscillatory boundaries. We present the unfolding method as a general …
with periodic oscillatory boundaries. We present the unfolding method as a general …
Generalization of unfolding operator for highly oscillating smooth boundary domains and homogenization
Unfolding operators have been introduced and used to study homogenization problems.
Initially, they were introduced for problems with rapidly oscillating coefficients and porous …
Initially, they were introduced for problems with rapidly oscillating coefficients and porous …
Asymptotic Behavior of Unstable Structures Made of Beams
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 …
org/10.1007/s10659-021-09816-w), we considered thick periodic structures (first paper) and …
Junction of a periodic family of elastic rods with a thin plate. Part II
In this second paper, we consider again a set of elastic rods periodically distributed over an
elastic plate whose thickness tends here to 0. This work is then devoted to describe the …
elastic plate whose thickness tends here to 0. This work is then devoted to describe the …
[PDF][PDF] Homogenization of oscillating boundaries
A Damlamian, K Pettersson - Homogenization of Some Elliptic …, 2009 - diva-portal.org
(Dedicated to Li Daqian, on the occasion of his 70th birthday) abstract. A variational problem
on a sequence of 2-dimensional domains with oscillating boundaries is studied. Using the …
on a sequence of 2-dimensional domains with oscillating boundaries is studied. Using the …
[HTML][HTML] Homogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundary
In this paper, we consider a domain Ω ε⊂ RN, N≥ 2, with a very rough boundary depending
on ε. For instance, if N= 3 Ω ε has the form of a brush with an ε-periodic distribution of thin …
on ε. For instance, if N= 3 Ω ε has the form of a brush with an ε-periodic distribution of thin …