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Related papers: Grain Boundary Scars and Spherical Crystallography

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Many systems in nature and the synthetic world involve ordered arrangements of units on two-dimensional surfaces. We review here the fundamental role payed by both the topology of the underlying surface and its detailed curvature. Topology…

Soft Condensed Matter · Physics 2009-07-31 Mark J. Bowick , Luca Giomi

Grain boundaries, the two-dimensional (2D) defects between differently oriented crystals, control mechanical and transport properties of materials. Our fundamental understanding of grain boundaries is still incomplete even after nearly a…

The evolution of wide shear zones (or shear bands) was investigated experimentally and numerically for quasistatic dry granular flows in split bottom shear cells. We compare the behavior of materials consisting of beads, irregular grains…

We study how the stability of spherical crystalline shells under external pressure is influenced by the defect structure. In particular, we compare stability for shells with a minimal set of topologically-required defects to shells with…

Soft Condensed Matter · Physics 2015-03-23 Duanduan Wan , Mark J. Bowick , Rastko Sknepnek

Granular materials such as sand, powders, and grains are omnipresent in daily life, industrial applications, and earth-science [1]. When unperturbed, they form stable structures that resemble the ones of other amorphous solids like metallic…

Soft Condensed Matter · Physics 2023-01-19 Ye Yuan , Zhikun Zeng , Yi Xing , Houfei Yuan , Shuyang Zhang , Walter Kob , Yujie Wang

We investigate the diffusion of a grain boundary in a crystalline material. We consider in particular the case of a regularly spaced low-angle grain boundary schematized as an array of dislocations that interact with each other through…

Statistical Mechanics · Physics 2007-12-22 F. Leoni , S. Zapperi

Non-topological defects such as grain boundaries abound in pattern forming systems, arising from local variations of pattern properties such as amplitude, wavelength, orientation, etc. We introduce the idea of treating such non-topological…

Pattern Formation and Solitons · Physics 2021-12-14 Priya Subramanian , Andrew J. Archer , Edgar Knobloch , Alastair M. Rucklidge

In this work we derive conditions that predict the existence of two-phase periodic-pattern grain boundary structures that are stable against coarsening. While previous research has established that elastic effects can lead to phase pattern…

Materials Science · Physics 2023-12-14 Ian S. Winter , Timofey Frolov

Structural defects in a crystal are responsible for the "two length-scale" behavior, in which a sharp central peak is superimposed over a broad peak in critical diffuse X-ray scattering. We have previously measured the scaling behavior of…

Experimental DSC and Avrami curves for the crystallization of metallic glasses demonstrate nucleation at grain boundaries and thus indicate their grain structure, which refutes the generally accepted idea of glass as a homogeneous frozen…

Materials Science · Physics 2025-06-27 Nikolay V. Alekseechkin

Atomistic simulations are employed to study structural evolution of pore ensembles in binary glasses under periodic shear deformation with varied amplitude. The consideration is given to porous systems in the limit of low porosity. The…

Soft Condensed Matter · Physics 2019-01-07 Nikolai V. Priezjev , Maxim A. Makeev

A systematic investigation is presented of grain boundaries and grain boundary networks in two dimensional flexible membranes with crystalline order. An isolated grain boundary undergoes a buckling transition at a critical value of the…

Condensed Matter · Physics 2009-10-22 Carlo Carraro , David R. Nelson

We address a three-dimensional, coarse-grained description of dislocation networks at grain boundaries between rotated crystals. The so-called amplitude expansion of the phase-field crystal model is exploited with the aid of finite element…

Materials Science · Physics 2018-05-31 Marco Salvalaglio , Rainer Backofen , K. R. Elder , Axel Voigt

A rectangular grid formed by liquid filaments on a partially wetting substrate evolves in a series of breakups leading to arrays of drops with different shapes distributed in a rather regular bidimensional pattern. Our study is focused on…

Fluid Dynamics · Physics 2017-10-25 Ingrith Cuellar , Pablo D. Ravazzoli , Javier A. Diez , Alejandro G. González

We use confocal microscopy and time-resolved light scattering to investigate plasticity in a col- loidal polycrystal, following the evolution of the network of grain boundaries as the sample is submitted to thousands of shear deformation…

Soft Condensed Matter · Physics 2014-08-28 Elisa Tamborini , Luca Cipelletti , Laurence Ramos

We investigate the fragmentation process of solid materials with crystalline and amorphous phases using the discrete element method. Damage initiates inside spherical samples above the contact zone in a region where the circumferential…

We consider pattern formation in periodically forced binary systems. In particular we focus on systems in which the two species are differentially forced, one being accelerated with respect to the other. Using a continuum model consisting…

Materials Science · Physics 2007-05-23 C. M. Pooley , J. M. Yeomans

The design and development of a parallel plate shear cell for the study of large scale shear flows in granular materials is presented. The parallel plate geometry allows for shear studies without the effects of curvature found in the more…

Soft Condensed Matter · Physics 2009-11-10 Nathan W. Mueggenburg

Lattice defects are inevitably present in two-dimensional materials, with direct implications on their physical and chemical properties. We show that the formation energy of a lattice defect in buckled two-dimensional crystals is not…

Materials Science · Physics 2016-07-20 Sandeep K. Jain , Vladimir Juricic , Gerard T. Barkema

Large twist-angle grain boundaries in layered structures are often described by Scherk's first surface whereas small twist-angle grain boundaries are usually described in terms of an array of screw dislocations. We show that there is no…

Soft Condensed Matter · Physics 2009-10-31 Randall D. Kamien , T. C. Lubensky