A Generalization of Golab's Theorem and Applications to fracture mechanics
arXiv:math/0201141
Abstract
We 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 pages