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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Bibliographic Details
Published in:Archive for rational mechanics and analysis Vol. 248; no. 6; p. 109
Main Authors: Dal Maso, Gianni, Toader, Rodica
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2024
Springer Nature B.V
Subjects:
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
Online Access:Get full text
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Summary: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.
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ISSN:0003-9527
1432-0673
DOI:10.1007/s00205-024-02053-0