A Generalization of Golab's Theorem and Applications to fracture mechanics
Classical Analysis and ODEs
2007-05-23 v2
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.
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Cite
@article{arxiv.math/0201141,
title = {A Generalization of Golab's Theorem and Applications to fracture mechanics},
author = {A. Giacomini},
journal= {arXiv preprint arXiv:math/0201141},
year = {2007}
}
Comments
18 pages