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We experimentally and numerically examine stress-dependent electrical transport in granular materials to elucidate the origins of their universal dielectric response. The ac responses of granular systems under varied compressive loadings…

Disordered Systems and Neural Networks · Physics 2019-10-25 Chongpu Zhai , Dorian Hanaor , Gwénaëlle Proust , Yixiang Gan

The ground state solution of the random dimer model is at a critical point after, which has been shown with random link excitations. In this paper we test the robustness of the random dimer model to the random link excitation by imposing…

Mathematical Physics · Physics 2024-04-17 Daniel Reti

The elasticity of disordered and polydisperse polymer networks is a fundamental problem of soft matter physics that is still open. Here, we self-assemble polymer networks via simulations of a mixture of bivalent and tri- or tetravalent…

We consider models for elastic liquids, such as solutions of flexible polymers. They introduce a relaxation time $\lambda$ into the system, over which stresses relax. We study the kinematics of the problem, and clarify the relationship…

Fluid Dynamics · Physics 2021-03-17 J. H. Snoeijer , A. Pandey , M. A. Herrada , J. Eggers

The behavior of a conductive membrane in a static (DC) electric field is investigated theoretically. An effective zero-thickness model is constructed based on a Robin-type boundary condition for the electric potential at the membrane,…

Soft Condensed Matter · Physics 2015-05-14 Falko Ziebert , Martin Z. Bazant , David Lacoste

To produce sounds, we adjust the tension of our vocal folds to shape their properties and control the pitch. This efficient mechanism offers inspiration for designing reconfigurable materials and adaptable soft robots. However,…

Soft Condensed Matter · Physics 2025-06-18 Alexandre Delory , Daniel A. Kiefer , Maxime Lanoy , Antonin Eddi , Claire Prada , Fabrice Lemoult

The nonlinear mechanics of a flexible elastic rod constrained at its edges by a pair of sliding sleeves is analyzed. The planar equilibrium configurations of this variable-length elastica are found to have shape defined only by the…

Soft Condensed Matter · Physics 2024-09-19 Alessandro Cazzolli , Francesco Dal Corso

This paper presents a mathematical framework for a flexible pressure-sensor model using electrical impedance tomography (EIT). When pressure is applied to a conductive membrane patch with clamped boundary, the pressure-induced surface…

Analysis of PDEs · Mathematics 2014-09-15 Habib Ammari , Kyungkeun Kang , Kyounghun Lee , Jin Keun Seo

We use various electrode layouts to tailor the profile of the electric field in a two-dimensional (2D) dielectric-barrier-discharge system, thereby creating spatial templates for the lateral distribution of discharge filaments. Our…

Plasma Physics · Physics 2013-05-07 Shaun Alsum , Margeaux Carter , Andrew Hess , Jacob Lampen , Matthew Walhout

Over the last half-century, linear viscoelastic models for crack growth in soft solids have flourished but their predictions have rarely been compared to experiments. In fact, most available models are either very approximate or cast in…

Soft Condensed Matter · Physics 2024-07-02 Etienne Barthel

This paper presents an electromechanical analysis of the nonlinear static response and the superimposed small-amplitude wave characteristics in an infinite periodic compressible dielectric elastomer (DE) laminate subjected to electrostatic…

Soft Condensed Matter · Physics 2021-07-26 Yingjie Chen , Bin Wu , Yipin Su , Weiqiu Chen

A large electric field is typically present in anodic or passive oxide films. Stresses induced by such a large electric field are critical in understanding the breakdown mechanism of thin oxide films and improving their corrosion…

Materials Science · Physics 2024-04-26 Jin Zhang , Peter W. Voorhees

We propose bending energies for isotropic elastic plates and shells. For a plate, we define and employ a surface tensor that symmetrically couples stretch and curvature such that any elastic energy density constructed from its invariants is…

Soft Condensed Matter · Physics 2022-06-22 E. Vitral , J. A. Hanna

We present a first-principles study of the relationship between stress, temperature and electronic properties in piezoelectric ZnO. Our method is a plane wave pseudopotential implementation of density functional theory and density…

Materials Science · Physics 2009-10-31 Nicola A. Hill , Umesh Waghmare

Physical experiments can characterize the elastic response of granular materials in terms of macroscopic state-variables, namely volume (packing) fraction and stress, while the microstructure is not accessible and thus neglected. Here, by…

Soft Condensed Matter · Physics 2015-06-16 Nishant Kumar , Stefan Luding , Vanessa Magnanimo

Nematic elastomers with a locked-in anisotropy direction exhibit semi-soft elastic response characterized by a plateau in the stress-strain curve in which stress does not change with strain. We calculate the global phase diagram for a…

Soft Condensed Matter · Physics 2009-11-13 Fangfu Ye , Ranjan Mukhopadhyay , Olaf Stenull , T. C. Lubensky

We consider systematic numerical approximation of a viscoelastic phase separation model that describes the demixing of a polymer solvent mixture. An unconditionally stable discretisation method is proposed based on a finite element…

Numerical Analysis · Mathematics 2024-07-08 Aaron Brunk , Herbert Egger , Oliver Habrich , Maria Lukacova-Medvidova

In recent work, it was shown that elasticity theory can break down in amorphous solids subjected to nonuniform {\em static} loads. The elastic fields are screened by geometric dipoles; these stem from gradients of the quadrupole field…

Disordered Systems and Neural Networks · Physics 2023-12-21 H. George E. Hentschel , Anna Pomyalov , Itamar Procaccia , Oran Szachter

The behavior of electrons in strained graphene is usually described using effective pseudomagnetic fields in a Dirac equation. Here we consider the particular case of a spatially constant strain. Our results indicate that lattice…

Mesoscale and Nanoscale Physics · Physics 2013-09-10 M. Oliva-Leyva , G. G. Naumis

The study shows that errors exist in the derivation of equilibrium equations in terms of displacement. It is discovered that when the equilibrium equations in terms of displacement are derived, the variation of the differential order of…

Soft Condensed Matter · Physics 2024-05-21 Peng Shi
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