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

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.

arXiv comment53 pages

References in corpus (1)

• A new space of generalised vector-valued functions of bounded variation