paper

A model for the quasistatic growth of cracks with fractional dimension

arXiv:1602.08378

Abstract

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.

arXiv comment17 pages