2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63124We study the lower semicontinuity for functionals defined on compact sets in R^2 with a finite number of connected components and finite length which depend on their normal vector. We apply the result to the study of quasi-static growth of brittle fractures in linearly elastic inhomogeneous and anisotropic bodies.18 pagesClassical Analysis and ODEsA Generalization of Golab's Theorem and Applications to fracture mechanicstext