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

dc.contributor.areaMathematicsen_US
dc.contributor.authorCrismale, Vito
dc.contributor.authorLazzaroni, Giuliano
dc.date.accessioned2016-06-16T11:26:29Z
dc.date.available2016-06-16T11:26:29Z
dc.date.issued2016
dc.descriptionThe final publication is available at Springer via http://dx.doi.org/10.1007/s00030-016-0426-6en_US
dc.description.abstractEmploying 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.en_US
dc.identifier.doi10.1007/s00030-016-0426-6
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35193
dc.language.isoenen_US
dc.miur.area1en_US
dc.relation.ispartofseriesSISSA;30/2016/MATE
dc.subjectbrittle fractureen_US
dc.subjectcrack propagationen_US
dc.subjectfree-discontinuity problemsen_US
dc.subjectvanishing viscosityen_US
dc.subjectlocal minimizersen_US
dc.subjectGriffith’s criterionen_US
dc.subjectenergy release rateen_US
dc.subject.miurMAT/05en_US
dc.titleQuasistatic crack growth based on viscous approximation: a model with branching and kinkingen_US
dc.typePreprinten_US
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