A GENERALIZATION OF {\RM GO{\L}\c{A}B'S} THEOREM AND APPLICATIONS TO FRACTURE MECHANICS
Alessandro Giacomini · Mathematical Models and Methods in Applied Sciences · 2002
We study the lower semicontinuity for functionals of the form K → ∫K φ (x, ν)dℋ1 defined on compact sets in ℝ2 with a finite number of connected components and finite ℋ1 measure and apply the result to the study of quasi-static growth of brittle fractures in linearly elastic inhomogeneous and anisotropic bodies.