Dal Maso, GianniMorandotti, Marco2016-03-012016-03-012016https://openscience.sissa.it/handle/1963/35175We 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.enlinearized elasticityfracture mechanicsquasistatic evolutionrate-independent processesenergy minimizationGriffith’s energy criterionfractional dimensionPreprint