Quasistatic crack growth in finite elasticity
  In this paper, we prove a new existence result for a variational model of crack growth in brittle materials proposed in [15]. We consider the case of $n$-dimensional finite elasticity, for an arbitrary $n\ge1$, with a quasiconvex bulk energy and with prescribed boundary deformations and applied loads, both depending on time. 
Gianni Dal Maso, Gilles A. Francfort, Rodica Toader