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...

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Veröffentlicht in:Archive for rational mechanics and analysis Jg. 248; H. 6; S. 109
Hauptverfasser: Dal Maso, Gianni, Toader, Rodica
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2024
Springer Nature B.V
Schlagworte:
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
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Beschreibung
Zusammenfassung: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.
Bibliographie:ObjectType-Article-1
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content type line 14
ISSN:0003-9527
1432-0673
DOI:10.1007/s00205-024-02053-0