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

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

2004-01-16

arxiv.org/abs/math/0401198v1

Mathematics

Analysis of PDEs

15 pages

Scientific paper

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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