Failure regime in (1+1) dimensions in fibrous materials
  In this paper, we introduce a model for fracture in fibrous materials that takes into account the rupture height of the fibers, in contrast with previous models. Thus, we obtain the profile of the fracture and calculate its roughness, defined as the variance around the mean height. We investigate the relationship between the fracture roughness and the fracture toughness. 
I. L. Menezes-Sobrinho, A. T. Bernardes, J. G. Moreira