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The lowest order nonconforming rectangular element in three dimensions involves 54 degrees of freedom for the stress and 12 degrees of freedom for the displacement. With a modest increase in the number of degrees of freedom (24 for the…

数值分析 · 数学 2011-03-04 Gerard Awanou

Metamaterials can enable peculiar static and dynamic behavior (such as negative effective mass density, dynamical stiffness, and Poisson's ratio) due to their geometry rather than their chemical composition. The geometry of these…

软凝聚态物质 · 物理学 2022-01-03 Audrey A. Watkins , Austin Eichelberg , Osama R. Bilal

Heterogeneous materials exhibit anisotropy which is influenced by factors such as individual phase properties and microstructural configuration that form crucial descriptors of heterogeneity. A review of anisotropy indices proposed in the…

材料科学 · 物理学 2025-04-15 Abhilash M Nagaraja

A large family of periodic planar non-linear bimode metamaterials are constructed from rigid bars and pivots. They are affine materials in the sense that their macroscopic deformations are only affine deformations: at large distances any…

材料科学 · 物理学 2015-06-05 Graeme Walter Milton

Engineered assemblies of interacting magnetic elements-magnetic metamaterials-provide a powerful route to tailor collective magnetic order and dynamics. By structuring matter at the mesoscale, they bridge atomic magnetism and macroscopic…

We propose to use a recently introduced Totimorphic metamaterial for constructing morphable space structures. As a first step to investigate the feasibility of this concept, we present a method for morphing such structures autonomously…

材料科学 · 物理学 2023-10-31 Amy Thomas , Jai Grover , Dario Izzo , Dominik Dold

Bistable Auxetic Metamaterials (BAMs) are a class of monolithic perforated periodic structures with negative Poisson's ratio. Under tension, a BAM can expand and reach a second state of equilibrium through a globally large shape…

应用物理 · 物理学 2017-11-28 Xiao Shang , Lu Liu , Ahmad Rafsanjani , Damiano Pasini

Machines enabled the Industrial Revolution and are central to modern technological progress: A machine's parts transmit forces, motion, and energy to one another in a predetermined manner. Today's engineering frontier, building artificial…

软凝聚态物质 · 物理学 2021-11-18 A. Aubret , Q. Martinet , J. Palacci

Temporal metamaterials are artificial materials whose electromagnetic properties change over time. In analogy with spatial media and metamaterials, where their properties change smoothly or abruptly over space, temporal metamaterials can…

光学 · 物理学 2025-02-06 Davide Ramaccia , Andrea Alu , Alessandro Toscano , Filiberto Bilotti

Multi-step pathways, constituted of a sequence of reconfigurations, are central to a wide variety of natural and man-made systems. Such pathways autonomously execute in self-guided processes such as protein folding and self-assembly, but…

软凝聚态物质 · 物理学 2018-10-18 Corentin Coulais , Alberico Sabbadini , Fré Vink , Martin van Hecke

Architected materials that control elastic wave propagation are essential in vibration mitigation and sound attenuation. Phononic crystals and acoustic metamaterials use band gap engineering to forbid certain frequencies from propagating…

In the design and analysis of composite materials based on periodic arrangements of sub-units it is of paramount importance to control the emergent material symmetry in relation to the elastic response. The target material symmetry plays…

数学物理 · 物理学 2023-06-27 Giulio G. Giusteri , Raimondo Penta

Metamaterials exhibit materials response deviation from conventional elasticity. This phenomenon is captured by the generalized elasticity as a result of extending the theory at the expense of introducing additional parameters. These…

计算工程、金融与科学 · 计算机科学 2021-06-10 Bilen Emek Abali , Emilio Barchiesi

Exploring the dynamical response of mechanical metamaterials has gathered increasing attention in the last decades, enabling the design of microstructures exotically interacting with elastic waves (focusing, channeling, band-gaps, negative…

经典物理 · 物理学 2022-10-27 Leonardo A. Perez Ramirez , Gianluca Rizzi , Angela Madeo

Origami designs offer extreme reconfigurability due to hinge rotation and facet deformation. This can be exploited to make lightweight metamaterials with controlled deployability and tunable properties. Here, we create a family of…

应用物理 · 物理学 2018-07-30 Soroush Kamrava , Ranajay Ghosh , Zhihao Wang , Ashkan Vaziri

Architected materials achieve unique mechanical properties through precisely engineered microstructures that minimize material usage. However, a key challenge of low-density materials is balancing high stiffness with stable deformability up…

材料科学 · 物理学 2024-09-20 Matheus I. N. Rosa , Konstantinos Karapiperis , Kaoutar Radi , Dennis M. Kochmann

In this paper we investigate numerically an instance of the problem of G-closure for two-dimensional periodic metamaterials. Specifically, we consider composites with isotropic homogenized elasticity tensor, obtained as a mixture of two…

计算物理 · 物理学 2019-09-18 Igor Ostanin , George Ovchinnikov , Davi Colli Tozoni , Denis Zorin

Metamaterials achieve unprecedented properties from designed architected structures. However, they are often constructed from a single repeating building block that exhibits monotonic shape changes with single degree of freedom, thereby…

材料科学 · 物理学 2021-03-30 Yanbin Li , Qiuting Zhang , Yaoye Hong , Jie Yin

It is shown that a compound elastic structure, which displays a dynamic instability, may be designed as the union (or 'fusion') of two structures which are stable when separately analyzed. The compound elastic structure has two degrees of…

经典物理 · 物理学 2023-01-16 Marco Rossi , Andrea Piccolroaz , Davide Bigoni

Topological acoustic and elastic waves have recently emerged as an exciting interdisciplinary field which is still mainly focused on low-dimensional structures and model systems. Here we demonstrate numerically an elastic-wave analogue of…

介观与纳米尺度物理 · 物理学 2018-05-23 Zhan Xiong , Hai-Xiao Wang , Jinjie Shi , Jie Luo , Yun Lai , Ming-Hui Lu , Jian-Hua Jiang