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We develop a model and numerical method to study the large-amplitude flutter of rectangular membranes (of zero bending rigidity) that shed a trailing vortex-sheet wake in a three-dimensional (3D) inviscid fluid flow. We apply small initial…

Fluid Dynamics · Physics 2022-12-21 Christiana Mavroyiakoumou , Silas Alben

In this paper we identify a set of two-dimensional variational inequalities that model the displacement of a linearly elastic flexural shell subjected to a confinement condition, expressing that all the points of the admissible deformed…

Analysis of PDEs · Mathematics 2023-05-02 Paolo Piersanti

Based on previous work for the static problem, in this paper we first derive one form of dynamic finite-strain shell equations for incompressible hyperelastic materials that involve three shell constitutive relations. In order to single out…

Computational Engineering, Finance, and Science · Computer Science 2020-12-16 Xiang Yu , Yibin Fu , Hui-Hui Dai

The structure of flexible polymers endgrafted in cylindrical pores of diameter D is studied as a function of chain length N and grafting density \sigma, assuming good solvent conditions. A phenomenological scaling theory, describing the…

Soft Condensed Matter · Physics 2009-11-11 D. I. Dimitrov , A. Milchev , K. Binder

We consider a discrete model of a graphene sheet with atomic interactions governed by a harmonic approximation of the 2nd-generation Brenner potential that depends on bond lengths, bond angles, and two types of dihedral angles. A continuum…

Materials Science · Physics 2017-05-24 Cesare Davini , Antonino Favata , Roberto Paroni

A method is described for embedding a deformable, elastic, membrane within a lattice Boltzmann fluid. The membrane is represented by a set of massless points which advect with the fluid and which impose forces on the fluid which are derived…

Soft Condensed Matter · Physics 2007-05-23 S V Lishchuk , C M Care

We study the mechanical contact between a deformable body with a wavy surface and a rigid flat taking into account pressurized fluid trapped in the interface. A finite element model is formulated for a general problem of trapped fluid for…

Fluid Dynamics · Physics 2021-03-23 Andrei G. Shvarts , Vladislav A. Yastrebov

We consider a prototypical "stretching plus bending" functional of an elastic shell. The shell is modeled as a d-dimensional Riemannian manifold endowed, in addition to the metric, with a reference second fundamental form. The shell is…

Differential Geometry · Mathematics 2022-06-07 Itai Alpern , Raz Kupferman , Cy Maor

Experimentally measuring the elastic properties of thin biological surfaces is non-trivial, particularly when they are curved. One technique that may be used is the indentation of a thin sheet of material by a rigid indenter, whilst…

In this paper, the validity and accuracy of three interatomic potentials and the continuum shell model of Ghaffari and Sauer [1] are investigated. The mechanical behavior of single-layered graphene sheets (SLGSs) under uniaxial stretching,…

Computational Physics · Physics 2023-05-26 Aningi Mokhalingam , Reza Ghaffari , Roger A. Sauer , Shakti S. Gupta

We report an experimental study of the development of orientational order in a crumpled sheet, with a particular focus on the role played by the geometry of confinement. Our experiments are performed on elastomeric sheets immersed in a…

Soft Condensed Matter · Physics 2014-10-30 Anne Dominique Cambou , Narayanan Menon

Active matter embraces systems that self-organize at different length and time scales, often exhibiting turbulent flows. Here, we use a quasi-two-dimensional nematically ordered layer of a protein-based active gel to experimentally…

Soft Condensed Matter · Physics 2017-11-01 Pau Guillamat , Jordi Ignés-Mullol , Francesc Sagués

We present dynamic light scattering (DLS) measurements of soft polymethyl-methacrylate (PMMA) and polyacrylamide(PA) polymer gels prepared with trapped bodies (latex spheres or maghemite nanoparticles). We show that the anomalous…

Soft Condensed Matter · Physics 2015-06-10 Alvaro V. N. C. Teixeira , Erik Geissler , Pedro Licinio

We study a discrete model of an heterogeneous elastic line with internal disorder, submitted to thermal fluctuations. The monomers are connected through random springs with independent and identically distributed elastic constants drawn…

Statistical Mechanics · Physics 2026-03-05 Maximilien Bernard , Pierre Le Doussal , Alberto Rosso , Christophe Texier

A comprehensive study has been undertaken on the dimensional swelling of graphene-reinforced elastomers in liquids. Anisotropic swelling was observed for samples reinforced with graphene nanoplatelets (GNPs), induced by the in-plane…

Applied Physics · Physics 2020-03-25 Mufeng Liu , Suhao Li , Ian A. Kinloch , Robert J. Young , Dimitrios G. Papageorgiou

We report experimental measurements of particle dynamics on slowly sheared granular matter in a three-dimensional (3D) Couette cell. A closely-packed ensemble of transparent spherical beads is confined by an external pressure and filled…

Soft Condensed Matter · Physics 2009-11-13 Ping Wang , Chaoming Song , Christopher Briscoe , Hernan A. Makse

As graphene became one of the most important materials today, there is a renewed interest on others similar structures. One example is silicene, the silicon analogue of graphene. It share some the remarkable graphene properties, such as the…

Mesoscale and Nanoscale Physics · Physics 2014-10-06 T. Botari , E. Perim , P. A. S. Autreto , A. C. T. van Duin , R. Paupitz , D. S. Galvao

The surface tension of rough interfaces between coexisting phases in 2D and 3D Ising models are discussed in view of the known results and some original calculations presented in this paper. The results are summarised in a formula, which…

Statistical Mechanics · Physics 2009-11-11 J. Kaupuzs

Shear flow is known to induce huge density fluctuations in otherwise clear and uniform polymer solutions. This effect is rooted in the elasticity of the entangled polymer network, and can span distances over a thousand chains wide. It has…

Computational Physics · Physics 2018-08-21 Airidas Korolkovas

Electron properties of graphene are described in terms of Dirac fermions. Here we thoroughly outline the elastic scattering theory for the two-dimensional massive Dirac fermions in the presence of an axially symmetric potential. While the…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 D. S. Novikov