A Generalization of Golab's Theorem and Applications to fracture mechanics

Details A Generalization of Golab's Theorem and Applications to fracture mechanics A Generalization of Golab's Theorem and Applications to fracture mechanics

2002-01-16

arxiv.org/abs/math/0201141v2

Mathematics

Classical Analysis and ODEs

18 pages

Scientific paper

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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