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Cavitation and sulcification of soft elastomers are two examples of thresholdless, nonlinear instabilities that evade detection by linearization. I show that the onset of such instabilities can be understood as a kind of phase coexistence…

软凝聚态物质 · 物理学 2013-11-04 Evan Hohlfeld

Scale invariance (SI) can in principle be realized in the elastic response of solid materials. There are two basic options: that SI is a manifest symmetry or that it is spontaneously broken. The manifest case corresponds physically to the…

高能物理 - 理论 · 物理学 2020-04-08 Matteo Baggioli , Victor Cancer Castillo , Oriol Pujolas

The shear response of soft solids can be modeled with linear elasticity, provided the forcing is slow and weak. Both of these approximations must break down when the material loses rigidity, such as in foams and emulsions at their…

软凝聚态物质 · 物理学 2016-07-06 Julia Boschan , Daniel Vagberg , Ellak Somfai , Brian P. Tighe

Quasi-static strain-controlled measurements of stress vs strain curves in macroscopic amorphous solids result in a nonlinear looking curve that ends up either in mechanical collapse or in a steady-state with fluctuations around a mean…

软凝聚态物质 · 物理学 2016-03-02 Awadhesh K. Dubey , Itamar Procaccia , Carmel A. B. Z. Shor , Murari Singh

We provide the first characterization of the nonlinear and time dependent rheologic response of viscoelastic bottom-up holographic models. More precisely, we perform oscillatory shear tests in holographic massive gravity theories with…

高能物理 - 理论 · 物理学 2020-02-28 Matteo Baggioli , Sebastian Grieninger , Hesam Soltanpanahi

The holographic duality has proven successful in linking seemingly unrelated problems in physics.Recently, intriguing correspondences between the physics of soft matter and gravity are emerging,including strong similarities between the…

软凝聚态物质 · 物理学 2022-06-07 Deng Pan , Teng Ji , Matteo Baggioli , Li Li , Yuliang Jin

In this work, we explore the effects of shear deformations in a wide class of holographic amorphous solids. It is found that both the shear stress and the complexity of formation grow with the increase of the shear strain. Notably, in the…

高能物理 - 理论 · 物理学 2025-02-20 Yuanceng Xu , Wei-Jia Li

In recent work it was clarified that amorphous solids under strain control do not possess nonlinear elastic theory in the sense that the shear modulus exists but nonlinear moduli exhibit sample to sample fluctuations that grow without bound…

软凝聚态物质 · 物理学 2017-03-29 Vladimir Dailidonis , Valery Ilyin , Itamar Procaccia , Carmel A. B. Z. Shor

What characterises a solid is its way to respond to external stresses. Ordered solids, such crystals, display an elastic regime followed by a plastic one, both well understood microscopically in terms of lattice distortion and dislocations.…

软凝聚态物质 · 物理学 2016-12-21 Giulio Biroli , Pierfrancesco Urbani

Rubber blends are ubiquitous in countless technological applications. More often than not, rubber blends exhibit complex interpenetrating microstructures, which are thought to have a significant impact on their resulting macroscopic…

软凝聚态物质 · 物理学 2023-11-07 Fabio Sozio , Francois Lallet , Antoine Perriot , Oscar Lopez-Pamies

Filler-polymer interactions are one of the keys to understanding the physical properties of polymer composites. These interactions give rise to an interface with specific properties that may have a nontrivial effect on the macroscopic…

材料科学 · 物理学 2016-09-30 Yanhui Huang , Linda S. Schadler

Two approaches to incorporate heterogeneity in discrete models are compared. In the first, standard approach, the heterogeneity is dictated by geometrical structure of the discrete system. In the second approach, the heterogeneity is…

计算工程、金融与科学 · 计算机科学 2025-06-26 Jan Raisinger , Qiwei Zhang , John E. Bolander , Jan Eliáš

Highly compressible solids, such as foams, exhibit complex responses, including pronounced tension-compression asymmetry. Capturing such behaviors within unified hyperelastic frameworks remains challenging. Invariant-based hyperelastic…

计算工程、金融与科学 · 计算机科学 2026-04-17 Miguel Angel Moreno-Mateos , Simon Wiesheier , Paul Steinmann , Ellen Kuhl

When stretched in one direction, most solids shrink in the transverse directions. In soft silicone gels, however, we observe that small-scale topographical features grow upon stretching. A quantitative analysis of the topography shows that…

A formal derivation of linear hydrodynamics for a granular fluid is given. The linear response to small spatial perturbations of the homogeneous reference state is studied in detail using methods of non-equilibrium statistical mechanics. A…

统计力学 · 物理学 2007-05-23 James W. Dufty , Aparna Baskaran , J. Javier Brey

We present a theory for the elasticity of cross-linked stiff polymer networks. Stiff polymers, unlike their flexible counterparts, are highly anisotropic elastic objects. Similar to mechanical beams stiff polymers easily deform in bending,…

软凝聚态物质 · 物理学 2007-11-26 C. Heussinger , B. Schaefer , E. Frey

Solid interfaces have intrinsic elasticity. However, in most experiments, this is obscured by bulk stresses. Through microscopic observations of the contact-line geometry of a partially wetting droplet on an anisotropically stretched…

软凝聚态物质 · 物理学 2017-11-29 Qin Xu , Robert W. Style , Eric R. Dufresne

Application of isotropic pressure or uniaxial strain alters the elastic properties of materials; sufficiently large strains can drive structural transformations. Linear elasticity describes stability against infinitesimal strains, while…

材料科学 · 物理学 2022-04-22 Vishnu Raghuraman , Michael Widom , Michael C. Gao

The classical flexure problem of non-linear incompressible elasticity is revisited for elastic materials whose mechanical response is different in tension and compression---the so-called bimodular materials. The flexure problem is chosen to…

软凝聚态物质 · 物理学 2013-03-11 Michel Destrade , Jerry G. Murphy , Badar Rashid

Bead spring models for polymers in solution are nonlinear if either the finite extensibility of the polymer, excluded volume effects or hydrodynamic interactions between polymer segments are taken into account. For such models we use a…

软凝聚态物质 · 物理学 2009-11-07 Roland Rzehak , Walter Zimmermann
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