Homogenisation Problems for Free Discontinuity Functionals with Bounded Cohesive Surface Terms

We study stochastic homogenisation problems for free discontinuity functionals under a new assumption on the surface terms, motivated by cohesive fracture models. The results are obtained using a characterization of the limit functional by means of the asymptotic behaviour of suitable minimisation p...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Archive for rational mechanics and analysis Ročník 248; číslo 6; s. 109
Hlavní autoři: Dal Maso, Gianni, Toader, Rodica
Médium: Journal Article
Jazyk:angličtina
Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2024
Springer Nature B.V
Témata:
Asymptotic properties
Boundary conditions
Classical Mechanics
Complex Systems
Cubes
Digital Object Identifier
Discontinuity
Fluid- and Aerodynamics
Homogenization
Hypotheses
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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:We study stochastic homogenisation problems for free discontinuity functionals under a new assumption on the surface terms, motivated by cohesive fracture models. The results are obtained using a characterization of the limit functional by means of the asymptotic behaviour of suitable minimisation problems on cubes with very simple boundary conditions. An important role is played by the subadditive ergodic theorem.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0003-9527
1432-0673
DOI:10.1007/s00205-024-02053-0