264 citations · 1.1k across the 39 of their papers we have counts for
3 papers · 1 filter
Conformal Dynamics of Precursors to Fracture
Felipe Barra, Mauricio Herrera, Itamar Procaccia
An exact integro-differential equation for the conformal map from the unit circle to the boundary of an evolving cavity in a stressed 2-dimensional solid is derived. This equation…
Quasi-Static Brittle Fracture in Inhomogeneous Media and Iterated Conformal Maps: Modes I, II and III
Felipe Barra, Anders Levermann, Itamar Procaccia
The method of iterated conformal maps is developed for quasi-static fracture of brittle materials, for all modes of fracture. Previous theory, that was relevant for mode III only,…
Algebraic decay in hierarchical graphs
Felipe Barra, Thomas Gilbert
We study the algebraic decay of the survival probability in open hierarchical graphs. We present a model of a persistent random walk on a hierarchical graph and study the spectral…