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We consider the cylindrical bending problem for an infinite plate as modelled with a family of generalized continuum models, including the micromorphic approach. The models allow to describe length scale effects in the sense that thinner…

经典分析与常微分方程 · 数学 2021-03-31 Gianluca Rizzi , Geralf Hütter , Angela Madeo , Patrizio Neff

Reducing electromagnetic scattering from an object has always been a task, inspiring efforts across disciplines such as materials science and electromagnetic theory. The pursuit of electromagnetic cloaking significantly advanced the field…

The paper develops a new integral micromorphic elastic continuum model, which can describe dispersion properties of band-gap metamaterials, i.e., metamaterials that inhibit propagation of waves in a certain frequency range. The enrichment…

应用物理 · 物理学 2024-10-21 Michal Šmejkal , Milan Jirásek , Martin Horák

Metamaterials are artificial composite structures designed for controlling waves or fields, and exhibit interaction phenomena that are unexpected on the basis of their chemical constituents. These phenomena are encoded in effective material…

材料科学 · 物理学 2015-12-21 Mihai Caleap , Bruce W Drinkwater

Mechanical metamaterials leverage geometric design to achieve unconventional properties, such as high strength at low density, efficient wave guiding, and complex shape morphing. The ability to control shape changes builds on the complex…

应用物理 · 物理学 2025-01-28 Krzysztof K. Dudek , Muamer Kadic , Corentin Coulais , Katia Bertoldi

Approximated numerical techniques, for the solution of the elastic wave scattering problem over semi-infinite domains are reviewed. The approximations involve the representation of the half-space by a boundary condition described in terms…

计算工程、金融与科学 · 计算机科学 2014-10-14 Nicolás Guarín-Zapata , Juan Gómez , Juan Jaramillo

Anisotropic mesh adaptation is studied for the linear finite element solution of eigenvalue problems with anisotropic diffusion operators. The M-uniform mesh approach is employed with which any nonuniform mesh is characterized…

数值分析 · 数学 2020-04-20 Jingyue Wang , Weizhang Huang

Metasurfaces are generally designed by placing scatterers in a periodic grid. We propose and discuss design rules for efficient random and functional metasurfaces with anisotropic elements. We investigate the impact of the elements density…

光学 · 物理学 2018-02-05 Matthieu Dupré , Liyi Hsu , Boubacar Kanté

We rigorously determine the scale-independent short range elastic parameters in the relaxed micromorphic generalized continuum model for a given periodic microstructure. This is done using both classical periodic homogenization and a new…

应用物理 · 物理学 2019-10-01 Patrizio Neff , Bernhard Eidel , Marco Valerio d'Agostino , Angela Madeo

Transformation methods have stimulated many interesting applications of manipulating electromagnetic and acoustic waves by using metamaterials, such as super-lens imaging and cloaking. These successes are mainly due to the form-invariant…

应用物理 · 物理学 2019-06-26 Hexuan Gao , Zhihai Xiang

The present study proposes the use of intelligent metasurfaces in the design of products, as enforcers of circular economy principles. Intelligent metasurfaces can tune their physical properties (electromagnetic, acoustic, mechanical) by…

其他计算机科学 · 计算机科学 2018-07-18 Christos Liaskos , Ageliki Tsioliaridou , Sotiris Ioannidis

Controlling systems governed by partial differential equations is an inherently hard problem. Specifically, control of wave dynamics is challenging due to additional physical constraints and intrinsic properties of wave phenomena such as…

信号处理 · 电气工程与系统科学 2023-12-18 Tristan Shah , Feruza Amirkulova , Stas Tiomkin

Multi-element wings are popular in the aerospace community due to their high lift performance. Turbulent flow simulations of these configurations require very fine mesh spacings especially near the walls, thereby making use of a boundary…

流体动力学 · 物理学 2014-02-28 Kedar C. Chitale , Michel Rasquin , Onkar Sahni , Mark S. Shephard , Kenneth E. Jansen

Time modulation of the physical parameters offers interesting new possibilities for wave control. Examples include amplification of waves, harmonic generation and non-reciprocity, without resorting to non-linear mechanisms. Most of the…

数学物理 · 物理学 2025-07-25 Michaël Darche , Raphaël Assier , Sébastien Guenneau , Bruno Lombard , Marie Touboul

Modeling the unusual mechanical properties of metamaterials is a challenging topic for the mechanics community and enriched continuum theories are promising computational tools for such materials. The so-called relaxed micromorphic model…

数值分析 · 数学 2024-05-17 Jörg Schröder , Mohammad Sarhil , Lisa Scheunemann , Patrizio Neff

In this work, we are concerned with the inverse scattering by interfaces for the linearized and isotropic elastic model at a fixed frequency. First, we derive complex geometrical optic solutions with linear or spherical phases having a…

偏微分方程分析 · 数学 2013-11-19 Manas Kar , Mourad Sini

Dielectric structures composed of many inclusions that manipulate light in ways the bulk materials cannot are commonly seen in the field of metamaterials. In these structures, each inclusion depends on a set of parameters such as location…

计算物理 · 物理学 2019-03-05 Boaz Blankrot , Clemens Heitzinger

Acoustic metamaterials offer exceptional control over wave propagation, but their potential remains unfulfilled due to fabrication constraints. Conventional processes yield mostly rigid, planar structures, whereas soft-matter alternatives…

软凝聚态物质 · 物理学 2026-02-03 Thomas Daunizeau , David Gueorguiev , Vincent Hayward , Allison Okamura , Sinan Haliyo

We present a multichannel model for elastic interactions, comprised of an arbitrary number of coupled finite square-well potentials, and derive semi-analytic solutions for its scattering behavior. Despite the model's simplicity, it is…

原子物理 · 物理学 2018-12-11 Nirav P. Mehta , Kaden R. A. Hazzard , Christopher Ticknor

We reveal the unique and fundamental advantage of inerter-based elastic metamaterials by a comparative study among different configurations. When the embedded inerter is connected to the matrix material on both ends, the metamaterial shows…

应用物理 · 物理学 2022-11-15 Faisal Jamil , Fei Chen , Bolei Deng , Robert G. Parker , Pai Wang