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A robust non-Newtonian fluid model of dilute polyelectrolyte solutions is derived from kinetic theory arguments. Polyelectrolyte molecules are modeled as finitely elongated nonlinear elastic dumbbells, where effective charges (interacting…

Soft Condensed Matter · Physics 2020-06-05 Dmitry Shogin , Per Amund Amundsen

Recent progress on studies of the nanoscale mechanical responses in disordered systems has highlighted a strong degree of heterogeneity in the elastic moduli. In this contribution, using computer simulations, we study the elastic…

Soft Condensed Matter · Physics 2016-02-12 Hideyuki Mizuno , Leonardo E. Silbert , Matthias Sperl

We present an experimentally guided, multi-phase, multi-species polyelectrolyte gel model to make quantitative predictions on the electro-chemical properties of articular cartilage. The mixture theory consists of two different types of…

Tissues and Organs · Quantitative Biology 2013-08-22 Sarthok Sircar , Elizabeth Aisenbrey , Stephanie J. Bryant , David M. Bortz

We investigate the linear viscoelasticity of polymer gels produced by the dispersion of gluten proteins in water:ethanol binary mixtures with various ethanol contents, from pure water to 60% v/v ethanol. We show that the complex…

In this work we calculate the local elastic moduli in a weakly polydisperse 2DLennard-Jones glass undergoing a quasistatic shear deformation at zero temperature. The numerical method uses coarse grained microscopic expressions for the…

Soft Condensed Matter · Physics 2015-05-13 Michel Tsamados , Anne Tanguy , Chay Goldenberg , Jean-Louis Barrat

We report surface shear rheological measurements on dense insoluble monolayers of micron sized colloidal spheres at the oil/water interface and of the protein $\beta$-lactoglobulin at the air/water surface. As expected, the elastic modulus…

Soft Condensed Matter · Physics 2009-11-10 Pietro Cicuta , Edward J. Stancik , Gerald G. Fuller

The elastic energy of mixing for multi-component solid solutions is derived by generalizing Eshelby's sphere-in-hole model for binary alloys. By surveying the dependence of the elastic energy on chemical composition and lattice misfit, we…

Materials Science · Physics 2021-09-01 Reza Darvishi Kamachali , Lei Wang

The mechanical response of packings of purely repulsive, spherical particles to athermal, quasistatic simple shear near jamming onset is highly nonlinear. Previous studies have shown that, at small pressure $p$, the ensemble-averaged static…

Soft Condensed Matter · Physics 2020-01-29 Kyle VanderWerf , Arman Boromand , Mark D. Shattuck , Corey S. O'Hern

The modern theory of elasticity and the first law of thermodynamics are cornerstones of engineering science that share the concept of reversibility. Engineering researchers have known for four decades that the modern theory violates the…

Soft Condensed Matter · Physics 2019-11-21 Christopher M. Szalwinski

We study the elastic properties of thermal networks of Hookean springs. In the purely mechanical limit, such systems are known to have vanishing rigidity when their connectivity falls below a critical, isostatic value. In this work we show…

Soft Condensed Matter · Physics 2015-06-15 Matthew Dennison , Michael Sheinman , Cornelis Storm , Fred C. MacKintosh

We investigate by means of molecular dynamics simulation a coarse-grained polymer glass model focusing on (quasi-static and dynamical) shear-stress fluctuations as a function of temperature T and sampling time $\Delta t$. The linear…

Soft Condensed Matter · Physics 2018-01-17 I. Kriuchevskyi , J. P. Wittmer , H. Meyer , O. Benzerara , J. Baschnagel

We show using Brownian dynamics simulations and theory how the shear relaxation modulus G(t) of dilute solutions of relatively stiff semiflexible polymers differs qualitatively from that of rigid rods. For chains shorter than their…

Soft Condensed Matter · Physics 2009-10-31 Matteo Pasquali , V. Shankar , David C. Morse

We investigate the shear elastic modulus of soft polymer foams loaded with hard spherical particles and we show that, for constant bubble size and gas volume fraction, strengthening is strongly dependent on the size of those inclusions.…

Materials Science · Physics 2015-07-27 Yacine Khidas , Benjamin Haffner , Olivier Pitois

The elastic properties of hcp $^4$He samples have been shown to display various anomalies. The elastic shear modulus stiffens and the moment of rotational inertia drops when the temperature is lowered below $\sim$ 0.2 K. The relation…

Other Condensed Matter · Physics 2013-05-30 Eric Varoquaux

Disordered biopolymer gels have striking mechanical properties including strong nonlinearities. In the case of athermal gels (such as collagen-I) the nonlinearity has long been associated with a crossover from a bending dominated to a…

Soft Condensed Matter · Physics 2016-04-12 Jingchen Feng , Herbert Levine , Xiaoming Mao , Leonard M. Sander

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

We investigate the linear elastic response of amorphous solids to a shear strain at zero temperature. We find that the response is characterized by at least two distinct shear moduli. The first one, $\mu_{\rm ZFC}$, is associated with the…

Soft Condensed Matter · Physics 2016-10-07 Daiju Nakayama , Hajime Yoshino , Francesco Zamponi

Experimentally it is possible to manipulate the director in a (chiral) smectic-$A$ elastomer using an electric field. This suggests that the director is not necessarily locked to the layer normal, as described in earlier papers that…

Soft Condensed Matter · Physics 2008-08-11 J. M. Adams , M. Warner , O. Stenull , T. C. Lubensky

In this note we present a scaling theory for the elasticity of olympic gels, i.e., gels where the elasticity is a consequence of topology only. It is shown that two deformation regimes exist. The first is the non affine deformation regime…

Soft Condensed Matter · Physics 2009-10-30 T. A. Vilgis , M. Otto

The mechanical response of rubbers has been ubiquitously assumed to be only a function of the imposed strain. Using innovative X-ray measurements capturing the three-dimensional spatial volumetric strain fields, we demonstrate that rubbers…