Burgers rings as topological signatures of Eshelby-like plastic events in glasses

Arabinda Bera; Ido Regev; Alessio Zaccone; Matteo Baggioli

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arXiv · 2505.23069

Burgers rings as topological signatures of Eshelby-like plastic events in glasses

Arabinda Bera·Ido Regev·Alessio Zaccone·Matteo Baggioli

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Abstract

Eshelby-like quadrupolar structures serve as the fundamental microscopic units for characterizing plastic instabilities in amorphous solids and play a crucial role in explaining their mechanical failure, including the formation of shear bands. However, identifying Eshelby-like plastic events in glasses remains challenging due to their inherent structural and dynamical complexity. In this work, we show that Eshelby-like structures can be precisely identified and localized using a topological invariant known as the continuous Burgers vector. By combining analytical and simulation techniques, we reveal the emergence of a topological Burgers ring around Eshelby plastic events, enabling the precise identification of their center of mass and capturing their orientation as well. This proposed method offers a clear and unambiguous framework to locate and characterize the plastic rearrangements that govern plasticity in glasses.

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Arabinda Bera, Ido Regev, Alessio Zaccone, Matteo Baggioli. 2025-05-29. Burgers rings as topological signatures of Eshelby-like plastic events in glasses. https://arxiv.org/abs/2505.23069

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