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New connections between static elastic cloaking, low frequency elastic wave scattering and neutral inclusions are established in the context of two dimensional elasticity. A cylindrical core surrounded by a cylindrical shell is embedded in…

Classical Physics · Physics 2021-03-17 Andrew N. Norris , William J. Parnell

We construct a linear response theory of applying shear deformations from boundary walls in the film geometry in Kubo's theoretical scheme. Our method is applicable to any solids and fluids. For glasses, we assume quasi-equilibrium around a…

Soft Condensed Matter · Physics 2018-12-27 Akira Onuki , Takeshi Kawasaki

The traditional approach in the study of hydrodynamic stability of stratified fluids includes the stick boundary conditions between layers. However, this rule may be violated in polymer systems and as a consequence various instabilities may…

Fluid Dynamics · Physics 2015-06-10 Stanislav Patlazhan

We develop a model for steady, laminar boundary layers over small-scale textured surfaces. Although the texture is small relative to the boundary-layer thickness, it modifies the flow via a slip length. We use matched asymptotic expansions…

Fluid Dynamics · Physics 2026-02-27 Samuel D. Tomlinson , Demetrios T. Papageorgiou

We present a general framework for the computation of structure-agnostic bounds on the performance of passive cloaks over a nonzero bandwidth. We apply this framework in 2D to the canonical scenario of cloaking a circular object. We find…

This study examines the mechanical behavior of a novel class of mechanical metamaterials alternating pentamode lattices and stiffening plates. The unit cell of such lattices consists of a sub-lattice of the face cubic-centered unit cell…

Applied Physics · Physics 2020-02-04 F. Fraternali , A. Amendola

Metasurfaces, the ultrathin media with extraordinary wavefront modulation ability, have shown versatile potential in manipulating waves. However, existing acoustic metasurfaces are limited by their narrow-band frequency-dependent…

Anisotropic acoustic metamaterials have been proved very useful for their high potential in guiding and manipulating sound energy. In this paper, we further develop the idea by using periodically layered structures for transformational…

Materials Science · Physics 2015-05-28 Zixian Liang , Jensen Li

We consider transformation-optics based cloaking in acoustic and electromagnetic scattering. The blueprints for an ideal cloak use singular acoustic and electromagnetic materials, posing server difficulties to both theoretical analysis and…

Analysis of PDEs · Mathematics 2014-09-03 Hongyu Liu , Gunther Uhlmann

Artificially structured metamaterials have enabled unprecedented flexibility in manipulating electromagnetic waves and producing new functionalities, including the cloak of invisibility based on coordinate transformation. Here we present…

We propose a scheme of acoustic spherical cloaking by means of background irrotational flow in compressible fluid. The background flow forms a virtual curved spacetime and guides the sound waves bypass the cloaked objects. To satisfy the…

Classical Physics · Physics 2016-08-24 Ruo-Yang Zhang , Qing Zhao , Mo-Lin Ge

The governing equation for elastic waves in flexural plates is not form invariant, and hence designing a cloak for such waves faces a major challenge. Here, we present the design of a perfect broadband cloak for flexural waves through the…

Classical Physics · Physics 2017-06-28 Ahmad Zareei , Mohammad-Reza Alam

The mechanical properties of confining boundaries can fundamentally alter the flow behaviour of shear-thickening suspensions. We study a dense cornstarch suspension sheared beneath a viscous silicone-oil layer, using the oil viscosity to…

Soft Condensed Matter · Physics 2026-03-25 Li-Xin Shi , Meng-Fei Hu , Song-Chuan Zhao

We study the equilibrium configuration of a nematic liquid crystal bounded by a rough surface. The wrinkling of the surface induces a partial melting in the degree of orientation. This softened region penetrates the bulk up to a length…

Soft Condensed Matter · Physics 2007-05-23 Paolo Biscari , Stefano Turzi

It is shown that nonlinear elastic pre-stress of neo-Hookean hyperelastic materials can be used as a mechanism to generate finite cloaks and thus render objects near-invisible to incoming antiplane elastic waves. This approach appears to…

Classical Physics · Physics 2012-04-26 William J. Parnell , Andrew N. Norris , Tom Shearer

The investigation of metasurface, which is of great current interest, has opened up new degrees of freedom to research metamaterials. In this paper, we propose an ultrathin acoustic metasurface consisting of a series of structurally simple…

Classical Physics · Physics 2016-06-03 Shilong Zhai , Changlin Ding , Huaijun Chen , Song Liu , Chunrong Luo , Xiaopeng Zhao

Similar to their optic counterparts, acoustic components are anticipated to flexibly tailor the propagation of sound. However, the practical applications, e.g. for audible sound with large wavelengths, are frequently hampered by the issue…

Other Condensed Matter · Physics 2014-06-16 Kun Tang , Chunyin Qiu , Manzhu Ke , Jiuyang Lu , Yangtao Ye , Zhengyou Liu

From the perspective of physical properties, the cell membrane is an exotic two-dimensional material that has a dual nature: it exhibits characteristics of fluids, i.e., lipid molecules show lateral diffusion, while also demonstrating…

Soft Condensed Matter · Physics 2024-04-19 Vikash Pandey , Dhrubaditya Mitra

In the past few years, carpet cloaking attracted interests because of its feasibility at optical frequencies and potential in stealth technologies. Metasurfaces have been proposed as a method to engineer ultra-thin carpet cloaking surfaces…

Optics · Physics 2019-06-26 L. Y. Hsu , A. Ndao , B. Kanté

A perturbation approach is used for analysis of a near-cloak in shielding a finite scatterer from an incident flexural wave. The effect of the boundary conditions on the interior surface of the cloaking layer is analysed in detail, based on…

Classical Physics · Physics 2015-01-28 I. S. Jones , M. Brun , N. V. Movchan , A. B. Movchan