A model for the quasistatic growth of cracks with fractional dimension
  We study a variational model for the quasistatic growth of cracks with fractional di- mension 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 an- tiplane and the planar cases are treated. 
Gianni Dal Maso and Marco Morandotti
math.OC math-ph math.MP