Accepted Paper

Inserted: 13 sep 2024
Last Updated: 16 apr 2025

Journal: Proceedings of the Royal Society of Edinburgh Section A
Year: 2024

Abstract:

The results on $\Gamma$-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 $\Gamma$-limit, which is then used to study deterministic and stochastic homogenisation problems for this type of functionals.