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arXiv · 2409.07820

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

Gianni Dal Maso·Davide Donati
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Abstract

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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Gianni Dal Maso, Davide Donati. 2024-09-12. Homogenisation of vectorial free-discontinuity functionals with cohesive type surface terms. https://doi.org/10.1017/prm.2025.10055

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