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For solving the longstanding materials science problem of correlating elastic properties of a solid material to the formation of cracks we present a new general concept. This concept is applied to the technologically most important cracks…

Materials Science · Physics 2007-05-23 Petr Lazar , Raimund Podloucky , Walter Wolf

Electrostatic theory preserves charges, but allows dipolar excitations. Elasticity theory preserves dipoles, but allows quadrupolar (Eshelby like) plastic events. Charged amorphous granular systems are interesting in their own right; here…

Soft Condensed Matter · Physics 2020-05-13 Prasenjit Das , H. George E. Hentschel , Itamar Procaccia

Using positional data from video-microscopy of a two-dimensional colloidal system and from simulations of hard discs we determine the wave-vector-dependent normal mode spring constants in the supercooled fluid and glassy state,…

Soft Condensed Matter · Physics 2012-10-26 Christian L. Klix , Florian Ebert , Fabian Weysser , Matthias Fuchs , Georg Maret , Peter Keim

Amorphous materials exhibit peculiar mechanical and vibrational properties, including non-affine elastic responses and excess vibrational states, i.e., the so-called boson peak. For polymer glasses, these properties are considered to be…

Soft Condensed Matter · Physics 2021-06-01 Naoya Tomoshige , Shota Goto , Hideyuki Mizuno , Tatsuya Mori , Kang Kim , Nobuyuki Matubayasi

The accurate determination of the elastic properties is non-trivial for metallic foils. The measured elastic modulus is often described in literature as significantly smaller than the respective modulus of the bulk counterparts. This paper…

Materials Science · Physics 2020-09-30 C. O. W. Trost , S. Wurster , C. Freitag , A. Steinberger , M. J. Cordill

Elasticity of soft materials can be greatly influenced by the presence of air bubbles. Such a capillary effect is expected for a wide range of materials, from polymer gels to concentrated emulsions and colloidal suspensions. Whereas…

Soft Condensed Matter · Physics 2017-04-11 François Gorlier , Yacine Khidas , Olivier Pitois

Using a well defined soft model glass in the framework of Molecular Dynamics simulations, the inherent structures are probed by means of a recently developed deformation protocol that aims to capture the Dynamical Heterogeneities (DH), as…

Disordered Systems and Neural Networks · Physics 2013-02-15 F. Leonforte

We study the elastic properties of soft solids containing air bubbles. Contrary to standard porous materials, the softness of the matrix allows for a coupling of the matrix elasticity to surface tension forces brought in by the bubbles.…

Soft Condensed Matter · Physics 2013-12-17 Lucie Ducloué , Olivier Pitois , Julie Goyon , Xavier Chateau , Guillaume Ovarlez

The main result of this work is a homogenization theorem via variational convergence for elastic materials with stiff checkerboard-type heterogeneities under the assumptions of physical growth and non-self-interpenetration. While the…

Analysis of PDEs · Mathematics 2023-03-29 Wolf-Patrick Düll , Dominik Engl , Carolin Kreisbeck

From understanding the sand on the beach to the foam on your beer, soft sphere simulations have been crucial to the study of the amorphous world around us. However, many of the materials we interact with on a daily basis aren't comprised of…

Soft Condensed Matter · Physics 2024-03-18 R. C. Dennis

The plasticity of amorphous solids undergoing shear is characterized by quasi-localized rearrangements of particles. While many models of plasticity exist, the precise relationship between plastic dynamics and the structure of a particle's…

Soft Condensed Matter · Physics 2024-06-12 Jason W. Rocks , Sean A. Ridout , Andrea J. Liu

The emergence of the solid state in glass-forming materials upon cooling is accompanied by changes in both thermodynamic and viscoelastic properties and by a precipitous drop in fluidity. Here, we investigate changes in basic elastic…

Soft Condensed Matter · Physics 2023-06-14 Xiaolei Xu , Jack F. Douglas , Wen-Sheng Xu

We present a simple method for accessing the elastic properties of microscopic deformable particles. This method is based on measuring the pressure-induced deformation of soft particles as they are forced through a tapered glass…

Soft Condensed Matter · Physics 2012-09-04 Hans M. Wyss , Thomas Franke , Elisa Mele , David A. Weitz

We consider a dilute system of small hard beads or hard fibers immersed in a very soft gel able to withstand large elastic deformations. Because of its low to very low shear modulus, this system is very sensitive to small forces. We…

Soft Condensed Matter · Physics 2014-05-05 Serge Mora , Yves Pomeau

The sol-gel transition is studied in two purely entropic models consisting of hard spheres in continuous three-dimensional space, with a fraction $p$ of nearest neighbor spheres tethered by inextensible bonds. When all the tethers are…

Statistical Mechanics · Physics 2009-11-07 Oded Farago , Yacov Kantor

The predictions of a nonequilibrium schematic mode-coupling theory developed to describe the nonlinear rheology of soft glassy materials have been numerically challenged in a sheared binary Lennard-Jones mixture. The theory gives an…

Statistical Mechanics · Physics 2009-11-07 Ludovic Berthier , Jean-Louis Barrat

We explore the relationship between a machine-learned structural quantity (softness) and excess entropy in simulations of supercooled liquids. Excess entropy is known to scale well the dynamical properties of liquids, but this…

Soft Condensed Matter · Physics 2023-06-07 Ian R. Graham , Paulo E. Arratia , Robert A. Riggleman

Solids deform and fluids flow, but soft glassy materials, such as emulsions, foams, suspensions, and pastes, exhibit an intricate mix of solid and liquid-like behavior. While much progress has been made to understand their elastic (small…

Soft Condensed Matter · Physics 2018-04-20 Simon Dagois-Bohy , Ellák Somfai , Brian P. Tighe , Martin van Hecke

Inorganic crystal materials have broad application potential due to excellent physical and chemical properties, with elastic properties (shear modulus, bulk modulus) crucial for predicting materials' electrical conductivity, thermal…

Materials Science · Physics 2025-11-07 Yujie Liu , Zhenyu Wang , Hang Lei , Guoyu Zhang , Jiawei Xian , Zhibin Gao , Jun Sun , Haifeng Song , Xiangdong Ding

The shear-modulus and yield-stress of amorphous solids are important material parameters, with the former determining the rate of increase of stress under external strain and the latter being the stress value at which the material flows in…

Materials Science · Physics 2015-05-13 Edan Lerner , Itamar Procaccia , Emily S. C. Ching , H. G. E Hentschel