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Glasses exhibit spatially inhomogeneous elastic properties, which can be investigated by measuring their elastic moduli at a local scale. Various methods to evaluate the local elastic modulus have been proposed in the literature. A first…

软凝聚态物质 · 物理学 2013-05-02 Hideyuki Mizuno , Stefano Mossa , Jean-Louis Barrat

Recent progress in approaches to determine the elastic constants of solids starting from the microscopic particle interactions is reviewed. On the theoretical side, density functional theory approaches are discussed and compared to more…

统计力学 · 物理学 2013-01-07 Matthias Fuchs

One of the central appealing properties of magnetic gels and elastomers is that their elastic moduli can reversibly be adjusted from outside by applying magnetic fields. The impact of the internal magnetic particle distribution on this…

软凝聚态物质 · 物理学 2014-10-22 Giorgio Pessot , Peet Cremer , Dmitry Y. Borin , Stefan Odenbach , Hartmut Löwen , Andreas M. Menzel

The elastic moduli of four numerical random isotropic packings of Hertzian spheres are studied. The four samples are assembled with different preparation procedures, two of which aim to reproduce experimental compaction by vibration and…

材料科学 · 物理学 2007-11-19 I. Agnolin , J. -N. Roux

The universal anomalous vibrational and thermal properties of amorphous solids are believed to be related to the local variations of the elasticity. Recently it has been shown that the vibrational properties are sensitive to the glass's…

软凝聚态物质 · 物理学 2019-09-30 Alireza Shakerpoor , Elijah Flenner , Grzegorz Szamel

We generalize, and then use, a recently introduced formalism to study thermal fluctuations of atomic displacements in several two and three dimensional crystals. We study both close packed as well as open crystals with multi atom bases.…

统计力学 · 物理学 2019-09-18 Pankaj Popli , Sayantani Kayal , Peter Sollich , Surajit Sengupta

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…

统计力学 · 物理学 2007-09-15 C. Goldenberg , A. Tanguy , J. -L. Barrat

Some aspects of how sound waves travel through disordered solids are still unclear. Recent work has characterized a feature of disordered solids which seems to influence vibrational excitations at the mesoscales, local elastic…

软凝聚态物质 · 物理学 2019-12-05 H. Mizuno , S. Mossa

Disordered solids exhibit unusual properties of their vibrational states and thermal conductivities. Recent progresses have well established the concept of "elastic heterogeneity", i.e., disordered materials show spatially inhomogeneous…

无序系统与神经网络 · 物理学 2014-01-09 Hideyuki Mizuno , Stefano Mossa , Jean-Louis Barrat

We determine the elastic moduli of two-dimensional assemblies of disks by computer simulations. The disks interact through elastic contact forces, that oppose the relative displacement at the contact points by means of a normal and a…

材料科学 · 物理学 2007-11-20 I. Agnolin , N. P. Kruyt

Recent confocal experiments on colloidal solids motivate a fuller study of the projection of three-dimensional fluctuations onto a two-dimensional confocal slice. We show that the effective theory of a projected crystal displays several…

统计力学 · 物理学 2012-07-19 Claire A. Lemarchand , A. C. Maggs , Michael Schindler

Randomly textured polycrystalline materials of constituents with highly anisotropic nature of grains can be considered globally isotropic. In order to determine the isotropic properties, like elasticity or conductivity, we propose a theory…

材料科学 · 物理学 2018-12-07 Adam Takacs , Géza Tichy , Péter Dusán Ispánovity

Particle tracking and displacement covariance matrix techniques are employed to investigate the phonon dispersion relations of two-dimensional colloidal glasses composed of soft, thermoresponsive microgel particles whose…

软凝聚态物质 · 物理学 2015-06-16 Tim Still , Carl P. Goodrich , Ke Chen , Peter J. Yunker , Samuel Schoenholz , Andrea J. Liu , A. G. Yodh

When we elastically impose a homogeneous, affine deformation on amorphous solids, they also undergo an inhomogeneous, non-affine deformation, which can have a crucial impact on the overall elastic response. To correctly understand the…

软凝聚态物质 · 物理学 2016-06-22 Hideyuki Mizuno , Kuniyasu Saitoh , Leonardo E. Silbert

The disorder-induced attenuation of elastic waves is central to the universal low-temperature properties of glasses. Recent literature offers conflicting views on both the scaling of the wave attenuation rate $\Gamma(\omega)$ in the…

软凝聚态物质 · 物理学 2021-03-17 Geert Kapteijns , David Richard , Eran Bouchbinder , Edan Lerner

A theory is developed for evaluation of nonlinear elastic moduli of composite materials with nonlinear inclusions dispersed in another nonlinear material (matrix). We elaborate a method aimed for determination of elastic parameters of a…

无序系统与神经网络 · 物理学 2020-02-03 A. A. Semenov , Y. M. Beltukov

Coarse-graining atomic displacements in a solid produces both local affine strains and "non-affine" fluctuations. Here we study the equilibrium dynamics of these coarse grained quantities to obtain space-time dependent correlation…

软凝聚态物质 · 物理学 2017-01-24 Saswati Ganguly , Surajit Sengupta , Peter Sollich

The properties of crystals consisting of several components can be widely tuned. Often solid solutions are produced, where substitutional or interstitional disorder determines the crystal thermodynamic and mechanical properties. The…

软凝聚态物质 · 物理学 2019-10-30 Tadeus Ras , Michael Szafarczyk , Matthias Fuchs

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,…

无序系统与神经网络 · 物理学 2019-01-02 Alexandre Nicolas , Ezequiel E. Ferrero , Kirsten Martens , Jean-Louis Barrat

In crystals, molecules thermally vibrate around the periodic lattice sites. Vibrational motions are well understood in terms of phonons, which carry heat and control heat transport. The situation is notably different in disordered solids,…

软凝聚态物质 · 物理学 2016-10-25 Hideyuki Mizuno , Stefano Mossa , Jean-Louis Barrat
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