Microscopic Description of Yielding in Glass Based on Persistent Homology

Tatsuhiko Shirai; Takenobu Nakamura

doi:10.7566/jpsj.88.074801

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arXiv · 1712.09785

Microscopic Description of Yielding in Glass Based on Persistent Homology

Tatsuhiko Shirai·Takenobu Nakamura

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Abstract

Persistent homology (PH) was applied to probe the structural changes of glasses under shear. PH associates each local atomistic structure in an atomistic configuration to a geometric object, namely, a hole, and evaluates the robustness of these holes against noise. We found that the microscopic structures were qualitatively different before and after yielding. The structures before yielding contained robust holes, the number of which decreased after yielding. We also observed that the structures after yielding approached those of quickly quenched glass. This work demonstrates the crucial role of robust holes in yielding and provides an interpretation based on geometry.

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BibTeX RIS

Tatsuhiko Shirai, Takenobu Nakamura. 2017-12-28. Microscopic Description of Yielding in Glass Based on Persistent Homology. https://doi.org/10.7566/jpsj.88.074801

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