Topology and morphology influences on the onset of ductile failure in a   two-phase microstructure
  Multi-phase material are frequently applied in a wide variety of products, as they posses a unique set of properties by combining two or more distinct phases at the level of the microstructure. Although the macroscopic stiffness and hardening are reasonably well understood, questions remain about the dominant failure mechanism(s). We identify the role of the microstructural topology (the distribution of phases) on damage "hot-spot" in the microstructure, by performing a numerical study on a large set of randomly generated topologies. The result identifies a distinct probability distribution of phases around a typical damage "hot-spot". This work is focused on assessing the sensitivity of the result to the assumptions made on the microstructural geometry. 
T.W.J. de Geus, R.H.J. Peerlings, M.G.D. Geers
cond-mat.mtrl-sci