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Existence for constrained dynamic Griffith fracture with a weak maximal dissipation condition

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dc.contributor.author Dal Maso, Gianni
dc.contributor.author Larsen, Christopher J.
dc.contributor.author Toader, Rodica
dc.date.accessioned 2015-11-18T16:02:18Z
dc.date.available 2015-11-18T16:02:18Z
dc.date.issued 2015-11-18
dc.identifier.uri http://preprints.sissa.it/xmlui/handle/1963/35045
dc.description.abstract There are very few existence results for fracture evolution, outside of globally minimizing quasi-static evolutions. Dynamic evolutions are particularly problematic, due to the difficulty of showing energy balance, as well as of showing that solutions obey a maximal dissipation condition, or some similar condition that prevents stationary cracks from always being solutions. Here we introduce a new weak maximal dissipation condition and show that it is compatible with cracks constrained to grow smoothly on a smooth curve. In particular, we show existence of dynamic fracture evolutions satisfying this maximal dissipation condition, subject to the above smoothness constraints, and exhibit explicit examples to show that this maximal dissipation principle can indeed rule out stationary cracks as solutions. en_US
dc.language.iso en en_US
dc.subject Wave equation, dynamic fracture mechanics, cracking domains en_US
dc.title Existence for constrained dynamic Griffith fracture with a weak maximal dissipation condition en_US
dc.type Preprint en_US
dc.subject.miur MAT/05 en_US
dc.miur.area 1 en_US
dc.contributor.area Mathematics en_US
dc.identifier.sissaPreprint 58/2015/MATE


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