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Quasi-static evolution in brittle fracture: the case of bounded solutions

Gianni Dal Maso·Gilles A. Francfort·Rodica Toader
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Abstract

The main steps of the proof of the existence result for the quasi-static evolution of cracks in brittle materials, obtained in [7] in the vector case and for a general quasiconvex elastic energy, are presented here under the simplifying assumption that the minimizing sequences involved in the problem are uniformly bounded in $L^\infty$.

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Gianni Dal Maso, Gilles A. Francfort, Rodica Toader. 2004-01-16. Quasi-static evolution in brittle fracture: the case of bounded solutions. https://arxiv.org/abs/math/0401198

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