Elucidation of pore connection mechanism during ductile fracture of sintered pure iron by applying persistent homology to 4D images of pores: Role of open pore

Isshin Ando, Yasutaka Mugita, Kyosuke Hirayama, Shinji Munetoh, Masatoshi Aramaki, Fei Jiang, Takeshi Tsuji, Akihisa Takeuchi, Masayuki Uesugi, Yukiko Ozaki

Research output: Contribution to journalArticlepeer-review

Abstract

4D pore configurations including an open pore were visualized by synchrotron X-ray laminography during the ductile fracturing process and then interpreted quantitatively using persistent homology (PH), a topological measure. In particular, this study used the zeroth PH, where the radius of an equivalent volume sphere for each pore and the distances to the other pores can be estimated for pairs of pores. The pore configurations were quantified as a set of birth and death values {(bi,di)} and changes due to increasing strain were tracked. As a result, the zeroth PH revealed the following information at the final stage before fracturing. First, the pair configurations between the open pore and closed pores decreased owing to the adsorption of closed pores by the open pore. Second, the configuration between the elongated closed pore and the open pore, where equivalent volume spheres are overwrapped, increased. These configurational changes in pores predict the pore connection between the open pore and surrounding closed pores that eventually generates a ductile crack perpendicular to the tensile stress. This study demonstrated the effective interpretation of the pore connection process that is essential to ductile crack generation.

Original languageEnglish
Article number142112
JournalMaterials Science and Engineering A
Volume828
DOIs
Publication statusPublished - Nov 2 2021

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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