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A simple and popular constitutive model used to describe the compressional strength of a consolidating strongly cohesive particulate gel is tested further with new experimental data. Strong cohesive particulate gels have variously been…

Soft Condensed Matter · Physics 2015-06-09 A. A. Aziz , R. Buscall , R. de Kretzer , M. Kristjansson , P. J. Scales , A. D. Stickland , H-E Teo , S. P. Usher , K. Keiding

We derive from first principles an accurate homogenized description of periodic metamaterials made of magnetodielectric inclusions, highlighting and overcoming relevant limitations of standard homogenization methods. We obtain closed-form…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Andrea Alu

In this work we continue the investigation of different approaches to conception and modeling of composite materials. The global method we focus on, is called 'stochastic homogenization'. In this approach, the classical deterministic…

Computational Engineering, Finance, and Science · Computer Science 2018-02-07 Vladimir Salnikov , Daniel Choi , Philippe Karamian-Surville

Cloaking techniques conceal objects by controlling the flow of electromagnetic waves to minimize scattering. Herein, the effectiveness of homogenized anisotropic materials in non-resonant dielectric multilayer cloaking is studied. Because…

Optics · Physics 2014-01-07 Akihiro Takezawa , Mitsuru Kitamura

We show that the optical properties of an oblique layered system with two kinds of isotropic materials can be described using the concept of transformation media as long as the thickness of the layers is much smaller than the wavelength.…

Optics · Physics 2008-08-28 Huanyang Chen , C. T. Chan

We present an analytical model which permits the calculation of effective material parameters for planar metamaterials consisting of arbitrary unit cells (metaatoms) formed by a set of straight wire sections of potentially different shape.…

The microstructure, electronic structure, and chemical bonding of chromium carbide thin films with different carbon contents have been investigated with high-resolution transmission electron microscopy, electron energy loss spectroscopy and…

Mesoscale and Nanoscale Physics · Physics 2012-05-04 Martin Magnuson , Matilda Andersson , Jun Lu , Lars Hultman , Ulf Jansson

Quasiperiodic arrangements of the constitutive materials in composites result in effective properties with very unusual electromagnetic and elastic properties. The paper discusses the cut-and-projection method that is used to characterize…

Analysis of PDEs · Mathematics 2019-11-12 Niklas Wellander , Sébastien Guenneau , Elena Cherkaev

Atomically thin layered materials are systems with zero limit bulk-to-surface ratio. Their physical properties are determined by two-dimensionality and strongly affected by interfacing with other systems. Therefore, they represent an…

Superconductivity · Physics 2025-01-16 Tomas Samuely , Martin Gmitra , Tristan Cren , Mateo Calandra , Peter Samuely

Micromorphic theories became an established tool to model size effects in materials like dispersion, localization phenomena or (apparently) size dependent properties. However, the formulation of adequate constitutive relations with its…

Materials Science · Physics 2022-11-30 Geralf Hütter

A theory is developed for evaluation of nonlinear elastic moduli of composite materials with nonlinear inclusions dispersed in another nonlinear material (matrix). We elaborate a method aimed for determination of elastic parameters of a…

Disordered Systems and Neural Networks · Physics 2020-02-03 A. A. Semenov , Y. M. Beltukov

Nematic elastomers and glasses are solids that display spontaneous distortion under external stimuli. Recent advances in the synthesis of sheets with controlled heterogeneities have enabled their actuation into non-trivial shapes with…

Soft Condensed Matter · Physics 2016-08-24 Paul Plucinsky , Marius Lemm , Kaushik Bhattacharya

Lattice {\em Kirigami}, ultra-light metamaterials, poly-disperse aggregates, ceramic nano-lattices, and two-dimensional (2-D) atomic materials share an inherent structural discreteness, and their material properties evolve with their shape.…

Dispersion properties of electromagnetic crystals formed by small uniaxial resonant scatterers (magnetic or electric) are studied using the local field approach. The goal of the study is to determine the conditions under which the…

Materials Science · Physics 2009-11-11 Pavel A. Belov , Constantin R. Simovski

In this work, we reconsider the study of 2D materials involving double lattice structures associated with periodic polygons. In tessellated periodic representation, it appears two periodic polygons of $k$ sides of unequal side lengths at…

Materials Science · Physics 2019-05-30 Adil Belhaj , Salah Eddine Ennadifi

We consider an anisotropic homogenized composite medium (HCM) arising from isotropic particulate component phases based on ellipsoidal geometries. For cubically nonlinear component phases, the corresponding zeroth-order…

Optics · Physics 2007-05-23 Tom G. Mackay

Here we would like to discuss the light transmission modulation by periodic and disordered one dimensional (1D) photonic structures. In particular, we will present some theoretical and experimental findings highlighting the peculiar optical…

There are great demands to design functional devices with isotropic materials, however the transformation method usually leads to anisotropic material parameters difficult to be realized in practice. In this letter, we derive the isotropic…

Classical Physics · Physics 2011-03-29 Zheng Chang , Jin Hu , Gengkai Hu , Ran Tao , Yue Wang

We perform a stochastic-homogenization analysis for composite materials exhibiting a random microstructure. Under the assumptions of stationarity and ergodicity, we characterize the Gamma-limit of a micromagnetic energy functional defined…

Analysis of PDEs · Mathematics 2023-06-26 Elisa Davoli , Lorenza D'Elia , Jonas Ingmanns

A dielectric columnar thin film (CTF), characterized macroscopically by a relative permittivity dyadic, was investigated theoretically with the assumption that, on the nanoscale, it is an assembly of parallel, identical, elongated…

Optics · Physics 2015-05-14 Tom G. Mackay , Akhlesh Lakhtakia