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We compute the shear modulus of amorphous hard and soft spheres, using the exact solution in infinite spatial dimensions that has been developed recently. We characterize the behavior of this observable in the whole phase diagram, and in…

Disordered Systems and Neural Networks · Physics 2014-09-04 Hajime Yoshino , Francesco Zamponi

Though extensively studied, hardness, defined as the resistance of a material to deformation, still remains a challenging issue for a formal theoretical description due to its inherent mechanical complexity. The widely applied Teter's…

Materials Science · Physics 2011-06-15 Xing-Qiu Chen , Haiyang Niu , Dianzhong Li , Yiyi Li

While deeply supercooled liquids exhibit divergent viscosity and increasingly heterogeneous dynamics as the temperature drops, their structure shows only seemingly marginal changes. Understanding the nature of relaxation processes in this…

Materials Science · Physics 2022-11-03 Matthias Lerbinger , Armand Barbot , Damien Vandembroucq , Sylvain Patinet

The temperature dependence of the high-frequency shear modulus measured in the kHz range is compared to the mean-squared displacement measured in the nanosecond range for the two van der Waals bonded glass-forming liquids cumene and 5PPE.…

Soft Condensed Matter · Physics 2017-03-15 Henriette Wase Hansen , Bernhard Frick , Tina Hecksher , Jeppe C. Dyre , Kristine Niss

The rheological properties of highly concentrated suspensions of hard-sphere particles are studied with particular reference to the rheological response of shear induced crystals. Using practically monodisperse hard spheres, we prepare…

Soft Condensed Matter · Physics 2008-04-09 N. Koumakis , A. B. Schofield , G. Petekidis

Motivated by the formal argument that a non-zero shear modulus is the result of averaging over a constrained configurations space, we demonstrate that the shear modulus calculated over a range of temperatures and averaging times can be…

Soft Condensed Matter · Physics 2016-04-06 Shibu Saw , Peter Harrowell

The common notion suggests that metallic glasses (MGs) are a homogeneous solid at the macroscopic scale; however, recent experiments and simulations indicate that MGs contain nano-scale elastic heterogeneities. Despite the fundamental…

Materials Science · Physics 2019-09-27 B. A. Sun , Y. C. Hu , D. P. Wang , P. Wen , W. H. Wang , C. T. Liu , Y. Yang

We derive expressions for the shear modulus of deeply-quenched, glassy solids, in terms of a Cauchy-Born free energy expansion around a rigid (quenched) reference state, following the approach due to Alexander [Alexander, Phys. Rep. 296,…

Soft Condensed Matter · Physics 2015-05-13 Alessio Zaccone

The relaxation dynamics of glass-forming systems shows a multitude of features that are absent in normal liquids, such as non-exponential relaxation and a strong temperature-dependence of the relaxation time. Connecting these dynamic…

Disordered Systems and Neural Networks · Physics 2019-04-03 Zhen Wei Wu , Walter Kob , Wei-Hua Wang , Limei Xu

Using molecular dynamics simulation of a polymer glass model we investigate free-standing polymer films focusing on the in-plane shear modulus $\mu$ and the corresponding shear-stress relaxation modulus $G(t)$ as functions of temperature…

Soft Condensed Matter · Physics 2018-12-12 G. George , I. Kriuchevskyi , H. Meyer , J. Baschnagel , J. P. Wittmer

Metallic glasses deform elastically under stress. However, the atomic-level origin of elastic properties of metallic glasses remain unclear. In this paper using {\em ab initio} molecular dynamics simulations of the Cu$_{50}$Zr$_{50}$…

Materials Science · Physics 2020-03-10 I. Lobzenko , Y. Shiihara , T. Iwashita

A solid - amorphous or crystalline - is defined by a finite shear modulus while a fluid lacks such. We thus experimentally investigate the elastic properties of a colloidal glass former near the glass transition: spectroscopy of vibrational…

Soft Condensed Matter · Physics 2015-12-02 Christian L. Klix , Georg Maret , Peter Keim

We study the shear jamming of athermal frictionless soft spheres, and find that in the thermodynamic limit, a shear-jammed state exists with different elastic properties from the isotropically-jammed state. For example, shear-jammed states…

Soft Condensed Matter · Physics 2017-05-04 Marco Baity-Jesi , Carl P. Goodrich , Andrea J. Liu , Sidney R. Nagel , James P. Sethna

We point out that the instantaneous shear modulus of the shoving model for the non-Arrhenius temperature dependence of viscous liquids' relaxation time is the experimentally accessible high-frequency plateau modulus, not the idealized…

Soft Condensed Matter · Physics 2012-12-19 Jeppe C. Dyre , Wei Hua Wang

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…

Materials Science · Physics 2017-04-26 Vitalij Hieronymus-Schmidt , Harald Rösner , Alessio Zaccone , Gerhard Wilde

We study the effect of periodic, spatially uniform temperature variation on mechanical properties and structural relaxation of amorphous alloys using molecular dynamics simulations. The disordered material is modeled via a non-additive…

Soft Condensed Matter · Physics 2019-02-04 Qing-Long Liu , Nikolai V. Priezjev

Knowledge of relaxation processes is fundamental in glass science and technology because relaxation is intrinsically related to vitrification, tempering as well as to annealing and sev-eral applications of glasses. However, there are…

Soft Condensed Matter · Physics 2021-03-17 Ricardo F. Lancelotti , Daniel R. Cassar , Marcelo Nalin , Oscar Peitl , Edgar D. Zanotto

We report results of non-equilibrium molecular dynamics simulations of a one-component glassy system under the influence of a shear flow, with the aim of investigating shear induced ordering of this system. In spite of the very low…

Materials Science · Physics 2009-11-13 Anatolii Mokshin , Jean-Louis Barrat

We theoretically investigate glass transition behaviors of the glassy graphene in a wide range of temperature, where this amorphous graphene is described as a hard-sphere fluid. The dynamic arrest of a particle is assumingly caused by…

Soft Condensed Matter · Physics 2020-03-11 Tran Dinh Cuong , Anh D. Phan , Katsunori Wakabayashi , Pham Thanh Huy

Elastic models of the glass transition relate the relaxation dynamics and the elastic properties of structural glasses. They are based on the assumption that the relaxation dynamics occurs through activated events in the energy landscape…

Soft Condensed Matter · Physics 2015-08-20 M. Pica Ciamarra , Peter Sollich