Homogenisation of vectorial free-discontinuity functionals with cohesive type surface terms

Gianni Dal Maso, Donati, Davide · arXiv (Cornell University) · 2024

The results on $Γ$-limits of sequences of free-discontinuity functionals with bounded cohesive surface terms are extended to the case of vector-valued functions. In this framework, we prove an integral representation result for the $Γ$-limit, which is then used to study deterministic and stochastic homogenisation problems for this type of functionals.

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