Continuum Percolation in Stochastic Homogenization and the Effective Viscosity Problem

This contribution is concerned with the effective viscosity problem, that is, the homogenization of the steady Stokes system with a random array of rigid particles, for which the main difficulty is the treatment of close particles. Standard approaches in the literature have addressed this issue by m...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Archive for rational mechanics and analysis Ročník 247; číslo 2; s. 26
Hlavní autoři: Duerinckx, Mitia, Gloria, Antoine
Médium: Journal Article
Jazyk:angličtina
Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2023
Springer Nature B.V
Témata:
Classical Mechanics
Clustering
Complex Systems
Compressibility
Digital Object Identifier
Fluid- and Aerodynamics
Homogenization
Mathematical and Computational Physics
Percolation
Physics
Physics and Astronomy
Stiffness
Theoretical
Viscosity
ISSN:0003-9527, 1432-0673
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Popis
Shrnutí:This contribution is concerned with the effective viscosity problem, that is, the homogenization of the steady Stokes system with a random array of rigid particles, for which the main difficulty is the treatment of close particles. Standard approaches in the literature have addressed this issue by making moment assumptions on interparticle distances . Such assumptions, however, prevent clustering of particles, which is not compatible with physically-relevant particle distributions. In this contribution, we take a different perspective and consider moment bounds on the size of clusters of close particles . On the one hand, assuming such bounds, we construct correctors and prove homogenization. On the other hand, based on subcritical percolation techniques, these bounds are shown to hold for various mixing particle distributions with nontrivial clustering. As a by-product of the analysis, we also obtain similar homogenization results for compressible and incompressible linear elasticity with unbounded random stiffness.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0003-9527
1432-0673
DOI:10.1007/s00205-023-01857-w