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The interaction of anisotropic point defects in anisotropic media is studied in the framework of anisotropic elasticity with eigendistortion. For this purpose key-equations and their solutions for anisotropic point defects in an anisotropic…

材料科学 · 物理学 2017-03-16 Markus Lazar

Elucidating the interplay of defect and stress at the microscopic level is a fundamental physical problem that has strong connection with materials science. Here, based on the two-dimensional crystal model, we show that the instability mode…

软凝聚态物质 · 物理学 2020-06-19 Zhenwei Yao

Geometrically frustrated elastic ribbons exhibit, in many cases, significant changes in configuration depending on the relation between their width and thickness. We show that the existence of such a transition, and the scaling at which it…

软凝聚态物质 · 物理学 2021-08-12 Ido Levin , Emmanuel Siéfert , Eran Sharon , Cy Maor

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

The behaviour of elastic structures undergoing large deformations is the result of the competition between confining conditions, self-avoidance and elasticity. This combination of multiple phenomena creates a geometrical frustration that…

软凝聚态物质 · 物理学 2015-05-19 Mokhtar Adda-Bedia , Arezki Boudaoud , Laurent Boué , Stephanie Deboeuf

Oscillating fields can make domain patterns change into various types of structures. Numerical simulations show that concentric-ring domain patterns centered at a strong defect are observed under a rapidly oscillating field in some cases.…

统计力学 · 物理学 2009-07-17 Kazue Kudo

The rigidity of elastic networks depends sensitively on their internal connectivity and the nature of the interactions between constituents. Particles interacting via central forces undergo a zero-temperature rigidity-percolation transition…

软凝聚态物质 · 物理学 2011-12-08 Chase P. Broedersz , Xiaoming Mao , T. C. Lubensky , F. C. MacKintosh

Different descriptions used to model a point-defect in an elastic continuum are reviewed. The emphasis is put on the elastic dipole approximation, which is shown to be equivalent to the infinitesimal Eshelby inclusion and to the…

材料科学 · 物理学 2018-02-13 Emmanuel Clouet , Céline Varvenne , Thomas Jourdan

We derive a reduced quasi-one-dimensional theory of geometrically frustrated elastic ribbons. Expressed in terms of geometric properties alone, it applies to ribbons over a wide range of scales, allowing the study of their elastic…

软凝聚态物质 · 物理学 2016-06-29 Doron Grossman , Eran Sharon , Haim Diamant

A field-theoretical description of the behavior of disordered, elastically isotropic, compressible systems characterized by two order parameters at the bicritical and tetracritical points is presented. The description is performed in the…

统计力学 · 物理学 2007-05-23 S. V. Belim

In the presented research, the intergranular elastic interaction and the second-order plastic incompatibility stress in textured ferritic and austenitic steels were investigated by means of diffraction. The lattice strains were measured…

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

A general description of elastic matter and the long-range elastic interaction is propose. The type of the far-field interaction is determined by the way of breaking in the continuum distribution of the elastic field produced by topological…

软凝聚态物质 · 物理学 2007-05-23 Bohdan Lev

In the late 1950's, Eshelby's linear solutions for the deformation field inside an ellipsoidal inclusion and, subsequently, the infinite matrix in which it is embedded were published. The solutions' ability to capture the behavior of an…

软凝聚态物质 · 物理学 2024-11-08 J. E. Bonavia , S. Chockalingam , T. Cohen

The Eshelbian (or configurational) force is the main concept of a celebrated theoretical framework associated with the motion of dislocations and, more in general, defects in solids. In a similar vein, in an elastic structure where a…

软凝聚态物质 · 物理学 2015-09-21 Davide Bigoni , Francesco Dal Corso , Federico Bosi , Diego Misseroni

The transition from complex-periodic to chaotic behavior is investigated in oscillatory media supporting spiral waves. We find turbulent regimes characterized by the spontaneous nucleation, proliferation and erratic motion of…

chao-dyn · 物理学 2009-10-31 Andrei Goryachev , Hugues Chate' , Raymond Kapral

Configurational, or Eshelby-like, forces are shown to strongly influence the nonlinear dynamics of an elastic rod constrained with a frictionless sliding sleeve at one end and with an attached mass at the other end. The configurational…

经典物理 · 物理学 2019-09-06 Costanza Armanini , Francesco Dal Corso , Diego Misseroni , Davide Bigoni

We investigate bubble deformations in an homogeneous and isotropic turbulent flow by means of direct numerical simulations of a single bubble in turbulence. We examine interface deformations by decomposing the local radius into the…

流体动力学 · 物理学 2024-07-24 Aliénor Rivière , Kamel Abahri , Stéphane Perrard

Lattice defects in crystalline materials create long-range elastic fields which can be modelled on the atomistic scale using an infinite system of discrete nonlinear force balance equations. Starting with these equations, this work…

偏微分方程分析 · 数学 2022-08-10 Julian Braun , Thomas Hudson , Christoph Ortner

We discuss aging and localization in a simple "Eshelby" mesoscopic model of amorphous plasticity. Plastic deformation is assumed to occur through a series of local reorganizations. Using a discretization of the mechanical fields on a…

软凝聚态物质 · 物理学 2011-12-06 Damien Vandembroucq , Stéphane Roux
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