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

A. Giacomini
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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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A. Giacomini. 2002-01-17. A Generalization of Golab's Theorem and Applications to fracture mechanics. https://arxiv.org/abs/math/0201141

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