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相关论文: Microscopic Mechanism of Shear Bands in Amorphous …

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Plastic deformation of metallic glasses performed well below the glass transition temperature leads to the formation of shear bands as a result of shear localization. It is believed that shear banding originates from individual stress…

材料科学 · 物理学 2017-04-26 Vitalij Hieronymus-Schmidt , Harald Rösner , Alessio Zaccone , Gerhard Wilde

One long-lasting puzzle in amorphous solids is shear localization, where local plastic deformation involves cooperative particle rearrangements in small regions of a few inter-particle distances, self-organizing into shear bands and…

软凝聚态物质 · 物理学 2020-09-08 Yinqiao Wang , Yujie Wang , Jie Zhang

It is well known experimentally that well-quenched amorphous solids exhibit a plastic instability in the form of a catastrophic shear localization at a well defined value of the external strain. The instability may develop to a shear-band…

软凝聚态物质 · 物理学 2015-02-05 Ashwin J. , Oleg Gendelman , Itamar Procaccia , Carmel Shor

The aim of this paper is to offer an analytic theory of the shear banding instability in amorphous solids that are subjected to athermal quasi-static shear. To this aim we derive nonlinear equations for the displacement field, including the…

统计力学 · 物理学 2026-05-12 Avanish Kumar , Itamar Procaccia

In this paper we extend the recent theory of shear-localization in 2-dimensional amorphous solids to 3-D. In 2-D the fundamental instability of shear-localization is related to the appearance of a line of displacement quadrupoles, that…

软凝聚态物质 · 物理学 2015-12-11 Ratul Dasgupta , Oleg Gendelman , Pankaj Mishra , Itamar Procaccia , Carmel A. B. Z. Shor

Shear bands are narrow zones of intense shear observed during plastic deformations of metals at high strain rates. Because they often precede rupture, their study attracted attention as a mechanism of material failure. Here, we aim to…

偏微分方程分析 · 数学 2016-11-15 Min-Gi Lee , Athanasios Tzavaras

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…

无序系统与神经网络 · 物理学 2024-07-22 Harald Rösner , Arabinda Bera , Alessio Zaccone

The effect of periodic shear on strain localization in disordered solids is investigated using molecular dynamics simulations. We consider a binary mixture of one million atoms annealed to a low temperature with different cooling rates and…

软凝聚态物质 · 物理学 2022-09-30 Nikolai V. Priezjev

Shear banding is a material instability in large strain plastic deformation of solids, where otherwise homogeneous flow becomes localized in narrow micrometer-scale bands. Shear bands have broad implications for materials processing and…

材料科学 · 物理学 2021-01-05 Koushik Viswanathan , Shwetabh Yadav , Dinakar Sagapuram

The shear-banding instability in quasi-statically driven bulk metallic glasses emerges from collective dynamics, mediated by shear transformation zones and associated non-local elastic interactions. It is also phenomenologically known that…

The shear-transformation-zone (STZ) theory of plastic deformation predicts that sufficiently soft, non-crystalline solids are linearly unstable against forming periodic arrays of microstructural shear bands. A limited nonlinear analysis…

材料科学 · 物理学 2009-11-07 J. S. Langer

Metals deformed at high strain rates can exhibit failure through formation of shear bands, a phenomenon often attributed to Hadamard instability and localization of the strain into an emerging coherent structure. We verify formation of…

偏微分方程分析 · 数学 2016-11-03 Theodoros Katsaounis , Min-Gi Lee , Athanasios Tzavaras

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…

软凝聚态物质 · 物理学 2025-07-18 Arabinda Bera , Debjyoti Majumdar , Timothy W. Sirk , Ido Regev , Alessio Zaccone

In recent research it was found that the fundamental shear-localizing instability of amorphous solids under external strain, which eventually results in a shear band and failure, consists of a highly correlated array of Eshelby quadrupoles…

软凝聚态物质 · 物理学 2015-06-11 Ratul Dasgupta , H. George E. Hentschel , Itamar Procaccia

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…

软凝聚态物质 · 物理学 2025-07-08 Xin Wang , Jin Shang , Yujie Wang , Jie Zhang , Matteo Baggioli

The response of glasses to mechanical loading often leads to the formation of inhomogeneous flow patterns that strongly affect materials properties. Among them, shear bands are ubiquitous in a wide variety of materials, ranging from soft…

材料科学 · 物理学 2016-10-26 Gaurav Prakash Shrivastav , Pinaki Chaudhuri , Jürgen Horbach

One of the major theoretical riddles in shear banding instabilities is the angle that the shear band chooses spontaneously with respect to the principal stress axis. Here we employ our recent atomistic theory to compute analytically the…

材料科学 · 物理学 2013-04-17 Ashwin J. , Oleg Gendelman , Itamar Procaccia , Carmel Shor

Amorphous solids increase their stress as a function of an applied strain until a mechanical yield point whereupon the stress cannot increase anymore, afterwards exhibiting a steady state with a constant mean stress. In stress controlled…

无序系统与神经网络 · 物理学 2017-06-07 Giorgio Parisi , Itamar Procaccia , Corrado Rainone , Murari Singh

We study localization occurring during high speed shear deformations of metals leading to the formation of shear bands. The localization instability results from the competition among Hadamard instability (caused by softening response) and…

偏微分方程分析 · 数学 2019-02-25 Min-Gi Lee , Theodoros Katsaounis , Athanasios Tzavaras

Recent experiments (Le Bouil et al., Phys. Rev. Lett., 2014, 112, 246001) have analyzed the statistics of local deformation in a granular solid undergoing plastic deformation. Experiments report strongly anisotropic correlation between…

软凝聚态物质 · 物理学 2017-11-21 Kamran Karimi , Jean-Louis Barrat
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