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Nonlinear plastic modes (NPMs) are collective displacements that are indicative of imminent plastic instabilities in elastic solids. In this work we formulate the atomistic theory that describes the reversible evolution of NPMs and their…

Soft Condensed Matter · Physics 2016-06-22 Edan Lerner

Local rearrangements are the elements of plastic deformation in an amorphous solid. In oscillatory shear, they can switch reversibly between two distinct configurations. While these repeating relaxations are typically considered in the…

Soft Condensed Matter · Physics 2025-12-22 Zhicheng Wang , Nathan C. Keim

Localization of plastic strain induced by softening can be objectively described by a regularized plasticity model that postulates a dependence of the current yield stress on a nonlocal softening variable defined by a differential…

Materials Science · Physics 2012-02-02 Milan Jirasek , Jan Zeman , Jaroslav Vondrejc

We propose a method to predict the value of the external strain where a generic amorphous solid will fail by a plastic response (i.e. an irreversible deformation), solely on the basis of measurements of the nonlinear elastic moduli. While…

Soft Condensed Matter · Physics 2015-05-18 Smarajit Karmakar , Anael Lemaitre , Edan Lerner , Itamar Procaccia

We consider a strongly heterogeneous medium saturated by an incompressible viscous fluid as it appears in geomechanical modeling. This poroelasticity problem suffers from rapidly oscillating material parameters, which calls for a thorough…

Numerical Analysis · Mathematics 2018-12-27 Robert Altmann , Eric Chung , Roland Maier , Daniel Peterseim , Sai-Mang Pun

We study the local disorder in the deformation of amorphous materials by decomposing the particle displacements into a continuous, inhomogeneous field and the corresponding fluctuations. We compare these fields to the commonly used…

Statistical Mechanics · Physics 2007-09-15 C. Goldenberg , A. Tanguy , J. -L. Barrat

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

The shear-modulus and yield-stress of amorphous solids are important material parameters, with the former determining the rate of increase of stress under external strain and the latter being the stress value at which the material flows in…

Materials Science · Physics 2015-05-13 Edan Lerner , Itamar Procaccia , Emily S. C. Ching , H. G. E Hentschel

Metallic materials undergo irreversible deformation under mechanical loading, leading to intense local plastic localization that reduces their mechanical performance. We identify a new mechanism of plastic deformation localization that…

We investigate the effect of annealed disorder on the mechanical properties and plasticity of a modeled amorphous solid by introducing a small fraction of heavy impurities into the material which resembles real experimental systems. The…

Soft Condensed Matter · Physics 2024-06-19 Meenakshi L. , Bhaskar Sen Gupta

Recent experiments and simulations have demonstrated that particle-covered interfaces can exist in stable non-spherical shapes as a result of the steric jamming of the interfacially trapped particles, which confers the interface with…

Soft Condensed Matter · Physics 2010-11-23 Anand Bala Subramaniam , Manouk Abkarian , L. Mahadevan , Howard A. Stone

Amorphization during severe plastic deformation has been observed in various crystalline materials, yet its underlying mechanisms remain poorly understood. This study introduces a novel phase-field model at the mesoscale, integrating…

Materials Science · Physics 2025-10-10 Yuntong Huang , Shuyang Dai , Chuqi Chen , Yang Xiang

We present here potential dependent mechanical properties of amorphous silicon studied through molecular dynamics (MD) at low temperature. On average, the localization of elementary plastic events and the co-ordination defect-sites appears…

Disordered Systems and Neural Networks · Physics 2011-10-19 Mina Talati , Tristan Albaret , Anne Tanguy

The effect of a local shear transformation on plastic deformation of a three-dimensional amorphous solid is studied using molecular dynamics simulations. We consider a spherical inclusion, which is gradually transformed into an ellipsoid of…

Materials Science · Physics 2015-03-23 Nikolai V. Priezjev

We present a numerical study of the mechanical response of a 2D Lennard-Jones amorphous solid under steady quasistatic and athermal shear. We focus here on the evolution of local stress components. While the local stress is usually taken as…

Materials Science · Physics 2009-11-13 Michel Tsamados , Anne Tanguy , Fabien Leonforte , J. -L. Barrat

We propose an adaptive polygonal finite element formulation for collapse plastic analysis of solids. The article contributes into four crucial points: 1) Wachspress shape functions at vertex and bubble nodes handled at a primal-mesh level;…

Computational Engineering, Finance, and Science · Computer Science 2016-06-30 H. Nguyen-Xuan , Son H. Nguyen , Hyun-Gyu Kim , Klaus Hackl

Since the 1970's, theories of deformation and failure of amorphous, solidlike materials have started with models in which stress-driven, molecular rearrangements occur at localized flow defects via "shear transformations". This picture is…

Statistical Mechanics · Physics 2017-08-23 Michael L. Falk , James S. Langer

We analyze in details the atomistic response of a model amorphous material submitted to plastic shear in the athermal, quasistatic limit. After a linear stress-strain behavior, the system undergoes a noisy plastic flow. We show that the…

Materials Science · Physics 2009-11-11 Anne Tanguy , Fabien Leonforte , J. -L. Barrat

We present a mathematical description of amorphous solid deformation and plasticity by extending the concept of instantaneous normal modes (INMs) to deformed systems, which allows us to retain the effect of strain on the vibrational density…

Soft Condensed Matter · Physics 2022-06-02 Ivan Kriuchevksyi , Tim Sirk , Alessio Zaccone

We investigate a minimal model of the plastic deformation of amorphous materials. The material elements are assumed to exhibit ideally plastic behavior (J2 plasticity). Structural disorder is considered in terms of random variations of the…

Materials Science · Physics 2015-06-18 Stefan Sandfeld , Michael Zaiser