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This paper investigates the dispersion characteristics of a highly anisotropic metamaterial comprised of metal square patches arranged in a glide symmetry pattern and submerged in vacuum. Theoretical formulas are proposed to describe the…

Classical Physics · Physics 2025-08-11 Jim A. Enriquez , Eugene Koreshin , Juan P. Del Risco , Pavel A. Belov , Juan D. Baena

The subject of this paper are spherically symmetric thin shells made of barotropic ideal fluid and moving under the influence of their own gravitational field as well as that of a central black hole; the cosmological constant is assumed to…

General Relativity and Quantum Cosmology · Physics 2009-10-30 P. Hajicek , Berne

Concealing objects by making them invisible to an external electromagnetic probe is coined by the term cloaking. Cloaking devices, having numerous potential applications, are still face challenges in realization, especially in the visible…

We investigate the asymptotic properties of inertial modes confined in a spherical shell when viscosity tends to zero. We first consider the mapping made by the characteristics of the hyperbolic equation (Poincar\'e's equation) satisfied by…

Fluid Dynamics · Physics 2019-06-19 M. Rieutord , B. Georgeot , L. Valdettaro

Linearized stability of incompressible viscous fluid flows in a thin spherical shell is studied by using the two-dimensional Navier--Stokes equations on a sphere. The stationary flow on the sphere has two singularities (a sink and a source)…

Classical Analysis and ODEs · Mathematics 2009-11-11 Ranis N. Ibragimov , Dmitry E. Pelinovsky

We investigate the scattering of 2D cylindrical invisibility cloaks with simplified constitutive parameters with the assistance of scattering coefficients. We show that the scattering of the cloaks originates not only from the boundary…

Optics · Physics 2011-03-14 Liang Peng , Lixin Ran , N. Asger Mortensen

Stochastic homogeneous hyperelastic solids are characterised by strain-energy densities where the parameters are random variables defined by probability density functions. These models allow for the propagation of uncertainties from input…

Classical Physics · Physics 2019-08-13 L. Angela Mihai , Danielle Fitt , Thomas E. Woolley , Alain Goriely

Looking at rational solid-fluid mixture theories in the context of their biomechanical perspectives, this work aims at proposing a two-scale constitutive theory of a poroelastic solid infused with an inviscid compressible fluid. The…

Classical Physics · Physics 2018-08-29 S. Quiligotti , G. Maugin , F. dell'Isola

This paper is concerned with the elastic near cloaking for the Lam\'e system in three-dimensions using the notion of elastic scattering coefficients (ESC). Accordingly, the ESC of arbitrary three-dimensional objects are designed and some of…

Mathematical Physics · Physics 2020-12-08 Hongyu Liu , Wing Yan Tsui , Abdul Wahab , Xianchao Wang

In this paper, we propose a novel electromagnetic (EM) cloaking structure that consists of two annular layers between three spherical shells and model its performance numerically and theoretically by using a Global and Local EM field (GL)…

Optics · Physics 2017-01-02 Ganquan Xie , Jianhua Li , Feng Xie , Lee Xie

Despite being governed by the familiar laws of Hookean mechanics, elastic shells patterned with an internal structure (i.e. metashells) exhibit a wealth of unusual mechanical properties with no counterparts in unstructured materials. Here I…

Soft Condensed Matter · Physics 2025-02-17 Luca Giomi

This paper presents a three-dimensional analytical study of the intrinsic free vibration of an elastic multilayered hollow sphere interacting with an exterior non-Newtonian fluid medium. The fluid is assumed to be characterized by a…

Soft Condensed Matter · Physics 2021-08-02 B. Wu , Y. Gan , E. Carrera3 , W. Q. Chen

A periodically patterned free surface with inclined slits can convert an incident compressional wave into a reflected shear wave with nearly complete efficiency at very low frequency. The system is described by two-dimensional in-plane…

Applied Physics · Physics 2026-01-14 Kaifei Feng , Pai Peng

The physical mechanism of elasticity of liquid surfaces coated with colloidal particles is proposed. It is suggested that particles are separated by water clearings and the capillary interaction between them is negligible. The case is…

Soft Condensed Matter · Physics 2015-03-12 Edward Bormashenko , Gene Whyman , Oleg Gendelman

In the present study, we investigated flow structures and properties of elastic turbulence in straight 2D channel viscoelastic fluid flow and tested earlier observations. We discovered self-organized cycling process of weakly unstable…

Fluid Dynamics · Physics 2020-09-28 Narsing K. Jha , Victor Steinberg

By mixing glass beads with a curable polymer we create a well-defined cohesive granular medium, held together by solidified, and hence elastic, capillary bridges. This material has a geometry similar to a wet packing of beads, but with an…

Soft Condensed Matter · Physics 2016-11-16 Arnaud Hemmerle , Matthias Schröter , Lucas Goehring

We report numerical investigations of wave turbulence in a vibrating plate. The possibility to implement advanced measurement techniques and long time numerical simulations makes this system extremely valuable for wave turbulence studies.…

Soft Condensed Matter · Physics 2017-10-25 Nicolas Mordant , Benjamin Miquel

We investigate the diffraction of singularities of solutions to the linear elastic equation on manifolds with edge singularities. Such manifolds are modeled on the product of a smooth manifold and a cone over a compact fiber. For the…

Analysis of PDEs · Mathematics 2016-11-22 Vitaly Katsnelson

We investigate the properties of small-amplitude inertial waves propagating in a differentially rotating incompressible fluid contained in a spherical shell. For cylindrical and shellular rotation profiles and in the inviscid limit,…

Solar and Stellar Astrophysics · Physics 2015-06-04 C. Baruteau , M. Rieutord

We present the results of an experimental investigation into buoyant rigid spheres rising through highly concentrated collections of hydrated hydrogel particles. The volume fraction of particles is such that the mechanical properties of the…

Soft Condensed Matter · Physics 2026-01-13 Tom Mullin , Tommaso Pettinari , Joshua A. Dijksman