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Invisibility devices based on coordinate transformation have opened up a new field of considerable interest. Such a device is proposed to render the hidden object undetectable under the flow of light or sound, by guiding and controlling the…

Optics · Physics 2015-05-20 Shu Zhang , Chunguang Xia , Nicholas Fang

We analyse wave propagation in two-dimensional bianisotropic media with the Finite Element Method (FEM). We start from the Maxwell-Tellegen's equations in bianisotropic media, and derive some system of coupled Partial Difference Equations…

Optics · Physics 2016-12-21 Yan Liu , Boris Gralak , Sebastien Guenneau

Space-time-varying materials pledge to deliver nonreciprocal dispersion in linear systems by inducing an artificial momentum bias. Although such a paradigm eliminates the need for actual motion of the medium, experimental realization of…

Applied Physics · Physics 2020-02-18 M. A. Attarzadeh , J. Callanan , M. Nouh

Hyperelastic transformation theory has proven shear-wave manipulation devices with various functions can be designed by utilizing neo-Hookean material with appropriate pre-deformation. However, it is still elusive that how can such devices…

Soft Condensed Matter · Physics 2019-09-04 Linli Chen , Chao Ma , Pingping Zheng , Qian Zhao , Zheng Chang

Metamaterials with tunable optical properties provide a versatile platform for controlling electromagnetic interactions at the nanoscale. This study explores the anisotropic thermal behavior of metamaterials composed of planar plates…

A flexible wave localization is investigated using a spatial-temporal modulation of point defects along the periodic array of electromechanical local resonators of a piezoelectric bimorph beam. By changing the electrical resonance of…

Applied Physics · Physics 2022-02-01 Renan Lima Thomes , Danilo Beli , Carlos De Marqui

We use elastomeric polydimethylsiloxane substrates to strain single-walled carbon nanotubes and modulate their electronic properties, with the aim of developing flexible materials that can sense local strain. We demonstrate micron-scale…

Materials Science · Physics 2009-11-11 H. Maune , M. Bockrath

The paper presents a numerical study for the finite element method with anisotropic meshes. We compare the accuracy of the numerical solutions on quasi-uniform, isotropic, and anisotropic meshes for a test problem which combines several…

Numerical Analysis · Mathematics 2014-11-20 Weizhang Huang , Lennard Kamenski , Jens Lang

Application of transformation theory to underwater acoustics has been a challenging task because highly anisotropic density is unachievable in water. A possible strategy is to exploit anisotropic modulus rather than density, while has not…

Classical Physics · Physics 2017-06-07 Yi Chen , Mingye Zheng , Xiaoning Liu , Yafeng Bi , Zhaoyong Sun , Ping Xiang , Jun Yang , Gengkai Hu

Although metamaterials have been widely used for controlling elastic waves through bandgap engineering, the directed guidance of stress waves in non-periodic structures has remained a challenge. This work demonstrates that spatially graded…

Applied Physics · Physics 2023-10-20 Charles Dorn , Dennis M. Kochmann

We provide a theoretical framework to mold time-modulated lattices with frequency conversion and wave-steering capabilities. We initially focus on 1D lattices, whereby a sufficiently slow time-modulation of the stiffness is employed to…

Applied Physics · Physics 2023-02-15 Jonatha Santini , Emanuele Riva

The effect of the anisotropy on the elastoplastic response of two dimensional packed samples of polygons is investigated here, using molecular dynamics simulation. We show a correlation between fabric coefficients, characterizing the…

Materials Science · Physics 2007-05-23 F. Alonso-Marroquin , S. Luding , H. J. Herrmann

The choice of elastic energies for thin plates and shells is an unsettled issue with consequences for much recent modeling of soft matter. Through consideration of simple deformations of a thin body in the plane, we demonstrate that four…

Soft Condensed Matter · Physics 2019-06-04 H. G. Wood , J. A. Hanna

A method to derive homogeneous effective constitutive equations for periodically layered elastic media is proposed. The crucial and novel idea underlying the procedure is that the coefficients of the dynamic effective medium can be…

Materials Science · Physics 2011-04-22 A. L. Shuvalov , A. A. Kutsenko , A. N. Norris , O. Poncelet

We construct a regular isotropic approximate cloak for the Maxwell system of equations. The method of transformation optics has enabled the design of electromagnetic parameters that cloak a region from external observation. However, these…

Analysis of PDEs · Mathematics 2018-05-23 Tuhin Ghosh , Ashwin Tarikere

A method of modelling the three-dimensional microstructure of random isotropic two-phase materials is proposed. The information required to implement the technique can be obtained from two-dimensional images of the microstructure. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 Anthony Roberts

In the present paper, the material parameters of the isotropic relaxed micromorphic model derived for a specific metamaterial in a previous contribution are used to model its transmission properties. Specifically, the reflection and…

In this paper, we present numerical and experimental evidence of directional wave behavior, i.e. beaming and diffraction, along high-order rotational symmetries of quasicrystalline elastic metamaterial plates. These structures are obtained…

Applied Physics · Physics 2022-01-31 Danilo Beli , Matheus Inguaggiato Nora Rosa , Carlos De Marqui , Massimo Ruzzene

We design a two-dimensional ultra-thin elastic metasurface consisting of steel cores coated with elliptical rubbers embedded in epoxy matrix, capable of manipulating bulk elastic wave modes for reflected waves. The energy exchanges between…

Applied Physics · Physics 2018-06-27 Pai Peng , Cheng Feng , Kangcheng Zhou

Density function theory is the workhorse of modern electronic structure theory. However, its accuracy in practical calculations is limited by the choice of the exchange-correlation potential. In this respect, two-dimensional materials pose…

Materials Science · Physics 2026-04-29 Michael Lorke