VISCO-ENERGETIC SOLUTIONS FOR A MODEL OF CRACK GROWTH IN BRITTLE MATERIALS

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dc.contributor.areamathematicsen_US
dc.contributor.authorDal Maso, Gianni
dc.contributor.authorRossi, Riccarda
dc.contributor.authorSavarè, Giuseppe
dc.contributor.authorToader, Rodica
dc.date.accessioned2021-05-11T10:23:59Z
dc.date.available2021-05-11T10:23:59Z
dc.date.issued2021
dc.description.abstractVisco-energetic solutions have been recently advanced as a new solution concept for rate-indepen dent systems, alternative to energetic solutions/quasistatic evolutions and balanced viscosity solutions. In the spirit of this novel concept, we revisit the analysis of the variational model proposed by Francfort and Marigo for the quasi-static crack growth in brittle materials, in the case of antiplane shear. In this context, visco energetic solutions can be constructed by perturbing the time incremental scheme for quasistatic evolutions by means of a viscous correction inspired by the term introduced by Almgren, Taylor, and Wang in the study of mean curvature flows. With our main result we prove the existence of a visco-energetic solution with a given initial crack. We also show that, if the cracks have a finite number of tips evolving smoothly on a given time interval, visco-energetic solutions comply with Griffith’s criterion.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35430
dc.language.isoenen_US
dc.subjectvariational modelsen_US
dc.subjectenergy minimizationen_US
dc.subjectvisco-energetic solutionsen_US
dc.subjectcrack propagationen_US
dc.subjectGriffith’s criterionen_US
dc.titleVISCO-ENERGETIC SOLUTIONS FOR A MODEL OF CRACK GROWTH IN BRITTLE MATERIALSen_US
dc.typeArticleen_US
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