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Understanding the fundamental mechanisms behind plastic instabilities and shear band formation in amorphous media under applied deformation remains a long-standing challenge. Leveraging on the mathematical concept of topology, we revisit…

Soft Condensed Matter · Physics 2025-07-08 Xin Wang , Jin Shang , Yujie Wang , Jie Zhang , Matteo Baggioli

The microscopic mechanism by which amorphous solids yield plastically under an externally applied stress or deformation has remained elusive in spite of enormous research activity in recent years. Most approaches have attempted to identify…

Soft Condensed Matter · Physics 2021-07-07 Matteo Baggioli , Ivan Kriuchevskyi , Timothy W. Sirk , Alessio Zaccone

The plastic deformation of crystalline materials can be understood by considering their structural defects such as disclinations and dislocations. Although glasses are also solids, their structure resembles closely the one of a liquid and…

Disordered Systems and Neural Networks · Physics 2023-06-21 Zhen Wei Wu , Yixiao Chen , Wei-Hua Wang , Walter Kob , Limei Xu

Identifying the regions responsible for plastic flow in amorphous solids remains an open problem, since structural disorder seems to prevent the direct application of concepts such as dislocations, topological defects that successfully…

Soft Condensed Matter · Physics 2026-05-21 Xin Wang , Yang Xu , Jin Shang , Yi Xing , Jie Zhang , Yujie Wang , Walter Kob , Matteo Baggioli

The underlying structural disorder renders the concept of topological defects in amorphous solids difficult to apply and hinders a first-principle identification of the microscopic carriers of plasticity and of the regions more prone to…

Soft Condensed Matter · Physics 2025-07-03 Arabinda Bera , Alessio Zaccone , Matteo Baggioli

Recent studies point out far-reaching connections between the topological characteristics of structural glasses and their material properties, paralleling results in quantum physics that highlight the relevance of the nature of the…

Disordered Systems and Neural Networks · Physics 2026-01-21 Zhen Wei Wu , Jean-Louis Barrat , Walter Kob

The formation of shear bands in amorphous solids such as glasses has remained an open question in our understanding of condensed matter and amorphous materials. Unlike in crystals, well-defined topological defects such as dislocations have…

Soft Condensed Matter · Physics 2025-07-18 Arabinda Bera , Debjyoti Majumdar , Timothy W. Sirk , Ido Regev , Alessio Zaccone

Topological defects are crucial to the thermodynamics and structure of condensed matter systems. For instance, when incorporated into crystalline membranes like graphene, disclinations with positive and negative topological charge…

Soft Condensed Matter · Physics 2018-08-29 Isaac R. Bruss , Gregory M. Grason

Topological defects are singularities within a field that cannot be removed by continuous transformations. The definition of these irregularities requires an ordered reference configuration, calling into question whether they exist in…

Soft Condensed Matter · Physics 2025-01-06 Vinay Vaibhav , Arabinda Bera , Amelia C. Y. Liu , Matteo Baggioli , Peter Keim , Alessio Zaccone

Amorphous materials exhibit complex material proprteties with strongly nonlinear behaviors. Below a yield stress they behave as plastic solids, while they start to yield above a critical stress $\Sigma_c$. A key quantity controlling…

Biological Physics · Physics 2020-05-06 Marko Popović , Valentin Druelle , Natalie A. Dye , Frank Jülicher , Matthieu Wyart

Upon mechanical loading, granular materials yield and undergo plastic deformation. The nature of plastic deformation is essential for the development of the macroscopic constitutive models and the understanding of shear band formation.…

Because of the inevitably disordered background, structural defects are not well-defined concepts in amorphous solids. In order to overcome this difficulty, it has been recently proposed that topological defects can be still identified in…

Materials Science · Physics 2025-07-24 Long-Zhou Huang , Yun-Jiang Wang , Matteo Baggioli

In amorphous materials, plasticity is localized and occurs as shear transformations. It was recently shown by Wu et al. that these shear transformations can be predicted by applying topological defect concepts developed for liquid crystals…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 Paul Desmarchelier , Spencer Fajardo , Michael L. Falk

The deformation and flow of disordered solids, such as metallic glasses and concentrated emulsions, involves swift localized rearrangements of particles that induce a long-range deformation field. To describe these heterogeneous processes,…

Disordered Systems and Neural Networks · Physics 2019-01-02 Alexandre Nicolas , Ezequiel E. Ferrero , Kirsten Martens , Jean-Louis Barrat

When an amorphous solid is deformed homogeneously, the response exhibits heterogeneous plastic instabilities with localized cooperative rearrangement of cluster of particles. The heterogeneous behavior plays an important role in deciding…

Soft Condensed Matter · Physics 2022-01-31 Meenakshi L , Bhaskar Sen Gupta

It was recently shown that vortex-like topological defects with negative winding number in the vibrational modes of a two-dimensional glass under quasistatic shear correlate strongly with plastic events, offering a promising route to…

Soft Condensed Matter · Physics 2025-12-16 Long-Zhou Huang , Xu Yang , Min-Qiang Jiang , Yun-Jiang Wang , Matteo Baggioli

The plasticity of amorphous solids undergoing shear is characterized by quasi-localized rearrangements of particles. While many models of plasticity exist, the precise relationship between plastic dynamics and the structure of a particle's…

Soft Condensed Matter · Physics 2024-06-12 Jason W. Rocks , Sean A. Ridout , Andrea J. Liu

Plastic deformation in metallic glasses at room temperature leads to the development of shear bands due to shear localization. In many experiments, shear bands have shown local density variations along their path, with a distinct imbalance…

Disordered Systems and Neural Networks · Physics 2024-07-22 Harald Rösner , Arabinda Bera , Alessio Zaccone

In this contribution, we investigate the fundamental mechanism of plasticity in a model two-dimensional network glass. The glass is generated by using a Monte Carlo bond-switching algorithm and subjected to athermal simple shear…

Materials Science · Physics 2020-09-30 Firaz Ebrahem , Franz Bamer , Bernd Markert

Amorphous solids lack long-range order. Therefore identifying structural defects -- akin to dislocations in crystalline solids -- that carry plastic flow in these systems remains a daunting challenge. By comparing many different structural…

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