title: Persistent homology analysis of craze formation.
abstract: We apply a persistent homology analysis to investigate the behavior of nanovoids during the crazing process of glassy polymers. We carry out a coarse-grained molecular dynamics simulation of the uniaxial deformation of an amorphous polymer and analyze the results with persistent homology. Persistent homology reveals the void coalescence during craze formation, and the results suggest that the yielding process is regarded as the percolation of nanovoids created by deformation.
authors.affiliation: Gifu University School of Medicine, Yanagido 1-1, Gifu, Gifu 501-1194, Japan and United Graduate School of Drug Discovery and Medical Information Sciences, Gifu University, Yanagido 1-1, Gifu, Gifu 501-1194, Japan.
authors.forename: Takashi
authors.initials: T
authors.lastname: Ichinomiya
authors.affiliation: Tohoku University Advanced Institute for Materials Research, 2-1-1 Katahira, Aoba-ku, Sendai, 980-8577 Japan.
authors.forename: Ippei
authors.initials: I
authors.lastname: Obayashi
authors.affiliation: Tohoku University Advanced Institute for Materials Research, 2-1-1 Katahira, Aoba-ku, Sendai, 980-8577 Japan.
authors.forename: Yasuaki
authors.initials: Y
authors.lastname: Hiraoka