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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 …
The periodic unfolding method in domains with holes
We give a comprehensive presentation of the periodic unfolding method for perforated
domains, both when the unit hole is a compact subset of the open unit cell and when this is …
domains, both when the unit hole is a compact subset of the open unit cell and when this is …
[کتاب][B] Nonlinear reaction-diffusion processes for nanocomposites: anomalous improved homogenization
JI Díaz, D Gómez-Castro, TA Shaposhnikova - 2021 - books.google.com
The behavior of materials at the nanoscale is a key aspect of modern nanoscience and
nanotechnology. This book presents rigorous mathematical techniques showing that some …
nanotechnology. This book presents rigorous mathematical techniques showing that some …
Multiscale modeling of a fluid saturated medium with double porosity: Relevance to the compact bone
E Rohan, S Naili, R Cimrman, T Lemaire - … of the Mechanics and Physics of …, 2012 - Elsevier
In this paper, we develop a model of a homogenized fluid-saturated deformable porous
medium. To account for the double porosity the Biot model is considered at the mesoscale …
medium. To account for the double porosity the Biot model is considered at the mesoscale …
Effective interface conditions for processes through thin heterogeneous layers with nonlinear transmission at the microscopic bulk-layer interface
In this paper, we consider a system of reaction–diffusion equations in a domain consisting of
two bulk regions separated by a thin layer with thickness of order e and a periodic …
two bulk regions separated by a thin layer with thickness of order e and a periodic …
Homogenization via unfolding in periodic layer with contact
The elasticity problem for two domains separated by a heterogeneous layer of the thickness
ε is considered. The layer has an ε-periodic structure, ε≪ 1, including a multiple cracks and …
ε is considered. The layer has an ε-periodic structure, ε≪ 1, including a multiple cracks and …
Homogenization of the vibro–acoustic transmission on perforated plates
The paper deals with modelling of acoustic waves which propagate in inviscid fluids
interacting with perforated elastic plates. The plate can be replaced by an interface on which …
interacting with perforated elastic plates. The plate can be replaced by an interface on which …
Asymptotically proved numerical coupling of a 2D flexural porous plate with the 3D Stokes fluid
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 …
3D Stokes flow and an effective porous, homogenized 2D plate is presented. The underlying …
[HTML][HTML] Homogenization of the acoustic transmission through a perforated layer
The paper deals with homogenized transmission conditions imposed on an interface plane
separating two halfspaces occupied by an acoustic medium. The conditions are obtained as …
separating two halfspaces occupied by an acoustic medium. The conditions are obtained as …