Two quasistatic evolutionary models with prescribed crack path

In a first part I will present a variational model for quasistatic crack growth in the presence of a cohesive force exerted between the lips of the crack. Next I will present a quasistatic evolutionary model based on a local stability criterion and obtained by viscous regularization. For both models I make the assumption that the crack path is prescribed.

This talk collects some results taken from my PhD Thesis and more in detail is related to a joint work with Gianni Dal Maso and a collaboration with Rodica Toader.