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In complex crystals close to melting or at finite temperatures, different types of defects are ubiquitous and their role becomes relevant in the mechanical response of these solids. Conventional elasticity theory fails to provide a…

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…

Statistical Mechanics · Physics 2012-07-19 Claire A. Lemarchand , A. C. Maggs , Michael Schindler

Elastic constants of two-dimensional (2D) colloidal crystals are determined by measuring strain fluctuations induced by Brownian motion of particles. Paramagnetic colloids confined to an air-water interface of a pending drop are…

Condensed Matter · Physics 2009-11-07 K. Zahn , A. Wille , G. Maret , S. Sengupta , P. Nielaba

We assemble charged colloidal spheres at deliberately chosen locations on a charged unstructured glass substrate utilizing ion exchange based electro-osmotic micro-pumps. Using microscopy, a simple scaling theory and Brownian Dynamics…

Soft Condensed Matter · Physics 2017-04-05 Ran Niu , Erdal C. Oğuz , Hannah Müller , Alexander Reinmüller , Denis Botin , Hartmut Löwen , Thomas Palberg

We simulate a two-dimensional array of droplets being compressed between two walls. The droplets are adhesive due to an attractive depletion force. As one wall moves toward the other, the droplet array is compressed and eventually induced…

Soft Condensed Matter · Physics 2024-01-23 Pablo Eduardo Illing , Jean-Christophe Ono-dit-Biot , Kari Dalnoki-Veress , Eric R. Weeks

Much of the progress achieved in understanding plasticity and failure in amorphous solids had been achieved using experiments and simulations in which the materials were loaded using strain control. There is paucity of results under stress…

Statistical Mechanics · Physics 2015-06-19 Vladimir Dailidonis , Valery Ilyin , Pankaj Mishra , Itamar Procaccia

We examine the response of a dense colloidal suspension to a local force applied by a small magnetic bead. For small forces, we find a linear relationship between the force and the displacement, suggesting the medium is elastic, even though…

Soft Condensed Matter · Physics 2013-02-28 D. Anderson , D. Schaar , H. G. E. Hentschel , J. Hay , Piotr Habdas , Eric R. Weeks

Predicting the mechanical response of the soft gel materials under external deformation is of paramount importance in many areas, such as foods, pharmaceuticals, solid-liquid separations, cosmetics, aerogels and drug delivery. Most of the…

Soft Condensed Matter · Physics 2023-05-22 Divas Singh Dagur , Yezaz Ahmed Gadi Man , Saikat Roy

The mechanical properties of crystalline materials can be substantially modified under confinement. Such modified macroscopic properties are usually governed by the altered microstructures and internal stress fields. Here, we use a parallel…

Soft Condensed Matter · Physics 2016-10-25 Neil Y. C. Lin , Itai Cohen

Fractal patterns are observed in computational mechanics of elastic-plastic transitions in two models of linear elastic/perfectly-plastic random heterogeneous materials: (1) a composite made of locally isotropic grains with weak random…

Statistical Mechanics · Physics 2015-05-13 J. Li , M. Ostoja-Starzewski

The mechanical properties of crystals on curved substrates mix elastic, geometric and topological degrees of freedom. In order to elucidate the properties of such crystals we formulate the low-energy effective action that combines metric…

High Energy Physics - Theory · Physics 2024-02-26 Lazaros Tsaloukidis , José J. Fernández-Melgarejo , Javier Molina-Vilaplana , Piotr Surówka

At low temperature, T -> 0, the yield stress of a perfect crystal is equal to its so called theoretical strength. The yield stress of non-perfect crystals is controlled by the stress threshold of dislocation mobility. A non-crystalline…

Materials Science · Physics 2011-07-01 Nikolai Lazarev , Alexander Bakai

We study the uniaxial compressive behavior of disordered colloidal free-standing micropillars composed of a bidisperse mixture of 3 and 6 um polystyrene particles. Mechanical annealing of confined pillars enables variation of the packing…

Soft Condensed Matter · Physics 2015-06-22 Daniel J. Strickland , Yun-Ru Huang , Daeyeon Lee , Daniel S. Gianola

In this work we consider bubbles that can form spontaneously when a two-dimensional (2D) crystal is transferred to a substrate with gases or liquids trapped at the crystal-substrate interface. The underlying mechanics may be described by a…

Soft Condensed Matter · Physics 2022-07-06 Zhaohe Dai , Yifan Rao , Nanshu Lu

Point defects in real crystals at finite temperatures are inevitable. Their dynamics severely influence the mechanical properties of crystals under shear giving rise to nonlinear effects such as ductility. Therefore, it is crucial to…

Soft Condensed Matter · Physics 2021-02-02 Gaurav P. Shrivastav , Gerhard Kahl

We consider the theory of fluctuations of a colloidal solid observed in a confocal slice. For a cubic crystal we study the evolution of the projected elastic properties as a function of the anisotropy of the crystal using numerical methods…

Soft Condensed Matter · Physics 2011-10-25 M. Schindler , A. C. Maggs

We propose a framework to model elastic properties of polycrystals by coupling crystal orientational degrees of freedom with elastic strains. Our model encodes crystal symmetries and takes into account explicitly the strain compatibility…

Materials Science · Physics 2009-11-07 Rajeev Ahluwalia , Turab Lookman , Avadh Saxena

When strained beyond the linear regime, soft colloidal glasses yield to steady-state plastic flow in a way that is similar to the deformation of conventional amorphous solids. Due to the much larger size of the colloidal particles with…

Soft Condensed Matter · Physics 2017-04-12 Antina Ghosh , Zoe Budrikis , Vijayakumar Chikkadi , Alessandro Sellerio , Stefano Zapperi , Peter Schall

We investigate the elastic properties of small droplets under compression. The compression of a bubble by two parallel plates is solved exactly and it is shown that a lowest-order expansion of the solution reduces to a form similar to that…

mtrl-th · Physics 2009-10-30 Martin-Daniel Lacasse , Gary S. Grest , Dov Levine

Using positional data from video-microscopy we determine the elastic moduli of two-dimensional colloidal crystals as a function of temperature. The moduli are extracted from the wave-vector-dependent normal mode spring constants in the…

Soft Condensed Matter · Physics 2012-10-26 H. H. von Grünberg , P. Keim , K. Zahn , G. Maret
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