Calculus of Variations and Geometric Measure Theory

G. Dal Maso - R. Toader

Homogenisation problems for free discontinuity functionals with bounded cohesive surface term

created by dalmaso on 11 Jul 2023


Submitted Paper

Inserted: 11 jul 2023
Last Updated: 11 jul 2023

Year: 2023

We study stochastic homogenisation problems for free discontinuity functionals 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.