Homogenisation problems for free discontinuity functionals with bounded cohesive surface terms
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Date
2023-07-11
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Abstract
We study stochastic homogenisation problems for free discontinuity func-
tionals 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 minimum problems on cubes with very
simple boundary conditions. An important role is played by the subadditive ergodic
theorem.