%0 Report %D 2016 %T A model for the quasistatic growth of cracks with fractional dimension %A Gianni Dal Maso %A Marco Morandotti %X We study a variational model for the quasistatic growth of cracks with fractional dimension in brittle materials. We give a minimal set of properties of the collection of admissible cracks which ensure the existence of a quasistatic evolution. Both the antiplane and the planar cases are treated. %G en %U http://urania.sissa.it/xmlui/handle/1963/35175 %1 35459 %2 Mathematics %$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2016-03-01T11:58:09Z No. of bitstreams: 1 DM-Mor-15-SISSA.pdf: 333769 bytes, checksum: f89da17dcba29091a91c253127244ede (MD5)