Persistent homology analysis of craze formation

Takashi Ichinomiya; Ippei Obayashi; Yasuaki Hiraoka

doi:10.1103/PhysRevE.95.012504

Persistent homology analysis of craze formation

Takashi Ichinomiya, Ippei Obayashi, Yasuaki Hiraoka

Research output: Contribution to journal › Article › peer-review

46 Citations (Scopus)

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.

Original language	English
Article number	012504
Journal	Physical Review E
Volume	95
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.95.012504
Publication status	Published - Jan 13 2017
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.95.012504

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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.",

author = "Takashi Ichinomiya and Ippei Obayashi and Yasuaki Hiraoka",

note = "Funding Information: This work was financially supported by the Cross-ministerial Strategic Innovation Promotion Program promoted by the Cabinet Office, Government of Japan, and the Japan Science and Technology Agency, and CREST by Japan Science and Technology Agency. Publisher Copyright: {\textcopyright} 2017 authors. Published by the American Physical Society.",

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AU - Ichinomiya, Takashi

AU - Obayashi, Ippei

AU - Hiraoka, Yasuaki

N1 - Funding Information: This work was financially supported by the Cross-ministerial Strategic Innovation Promotion Program promoted by the Cabinet Office, Government of Japan, and the Japan Science and Technology Agency, and CREST by Japan Science and Technology Agency. Publisher Copyright: © 2017 authors. Published by the American Physical Society.

PY - 2017/1/13

Y1 - 2017/1/13

N2 - 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.

AB - 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.

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Persistent homology analysis of craze formation

Abstract

ASJC Scopus subject areas

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