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arxiv: math/0602614 · v1 · submitted 2006-02-27 · 🧮 math.AP

Variational problems in fracture mechanics

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keywords francfortresultsvariationalappliedarbitraryboundarybrittlebulk
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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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