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Quasistatic crack growth based on viscous approximation: a model with branching and kinking

TitleQuasistatic crack growth based on viscous approximation: a model with branching and kinking
Publication TypeJournal Article
Year of Publication2017
AuthorsCrismale, V, Lazzaroni, G
JournalNonlinear Differential Equations and Applications NoDEA
Volume24
Pagination7
Date PublishedJan
ISSN1420-9004
Abstract

Employing the technique of vanishing viscosity and time rescaling, we show the existence of quasistatic evolutions of cracks in brittle materials in the setting of antiplane shear. The crack path is not prescribed a priori and is chosen in an admissible class of piecewise regular sets that allows for branching and kinking.

URLhttps://doi.org/10.1007/s00030-016-0426-6
DOI10.1007/s00030-016-0426-6

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