Variational problems in fracture mechanics

Details Variational problems in fracture mechanics Variational problems in fracture mechanics

2006-02-27

arxiv.org/abs/math/0602614v1

Mathematics

Analysis of PDEs

9 pages

Scientific paper

We present some recent existence results for the variational model of crack
growth in brittle materials proposed by Francfort and Marigo in 1998. These
results, obtained in collaboration with Francfort and Toader, cover the case of
arbitrary space dimension with a general quasiconvex bulk energy and with
prescribed boundary deformations and applied loads.

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