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Metamaterials are constructed such that, for a narrow range of frequencies, the momentum density depends on the local displacement gradient, and the stress depends on the local velocity. In these models the momentum density generally…

数学物理 · 物理学 2009-11-13 Graeme W. Milton

Magnetic fluids are colloidal suspensions of ferromagnetic particles covered with a surfactant layer, dispersed in a host liquid. The existence of cooperative phenomena in such magnetic colloidal systems, makes the determining of their…

材料科学 · 物理学 2007-05-23 D. Andru Vangheli , H. Covlescu , Gh. Ardelean , C. Stelia

Spatially confined rigid membranes reorganize their morphology in response to the imposed constraints. A crumpled elastic sheet presents a complex pattern of random folds focusing the deformation energy while compressing a membrane resting…

We introduce a simple model of self-propelled agents connected by linear springs, with no explicit alignment rules. Below a critical noise level, the agents self-organize into a collectively translating or rotating group. We derive…

软凝聚态物质 · 物理学 2013-01-15 Eliseo Ferrante , Ali Emre Turgut , Marco Dorigo , Cristián Huepe

Energy is in general not conserved for mechanical nonholonomic systems with affine constraints. In this article we point out that, nevertheless, in certain cases, there is a modification of the energy that is conserved. Such a function…

动力系统 · 数学 2022-07-06 Francesco Fassò , Nicola Sansonetto

A novel strongly nonlinear laminar metamaterial supporting new types of solitary and shock waves with impact energy mitigating capabilities is presented. It consists of steel plates with intermittent polymer toroidal rings acting as…

软凝聚态物质 · 物理学 2009-11-13 E. B. Herbold , V. F. Nesterenko

Within a decade of fruitful developments, metamaterials became a prominent area of research, bridging theoretical and applied electrodynamics, electrical engineering and material science. Being man-made structures, metamaterials offer a…

光学 · 物理学 2011-12-23 Mikhail Lapine , Ilya V. Shadrivov , David A. Powell , Yuri S. Kivshar

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…

应用物理 · 物理学 2023-10-20 Charles Dorn , Dennis M. Kochmann

As a service for the solid mechanics community we gather in this paper constitutive properties of a collective list of isotropic elastic energies for compressible materials. Of interest to us are the invertibility and monotonicity of…

经典物理 · 物理学 2025-09-03 Ionel-Dumitrel Ghiba , Robert Martin , Marius Apetrii , Patrizio Neff

The signature topological feature of Maxwell lattices is their polarization, which manifests as an unbalance in stiffness between opposite edges of a finite domain. The manifestation of this asymmetry is especially dramatic in the case of…

材料科学 · 物理学 2024-09-19 Luca Iorio , Raffaele Ardito , Stefano Gonella

Recent progress in understanding the topological properties of condensed matter has led to the discovery of time-reversal invariant topological insulators. Because of limitations imposed by nature, topologically non-trivial electronic order…

This contribution investigates the extension of the microplane formulation to the description of transversely isotropic materials such as shale rock, foams, unidirectional composites, and ceramics. Two possible approaches are considered: 1)…

材料科学 · 物理学 2017-12-07 Congrui Jin , Marco Salviato , Weixin Li , Gianluca Cusatis

Introduction of controllable deformations into periodic materials that lead to disclinations in their structure opens novel routes for construction of higher-order topological insulators hosting topological states at disclinations.…

Time-variant systems have recently garnered considerable attention due to their unique potentials in manipulating electromagnetic waves. Here, a novel class of topological spacetime crystals is introduced, with a traveling-wave modulation…

光学 · 物理学 2025-09-24 João C. Serra , Mário G. Silveirinha

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

Many types of mammalian cells exert active contractile forces and mechanically deform their elastic substrate, to accomplish biological functions such as cell migration. These substrate deformations provide a mechanism by which cells can…

软凝聚态物质 · 物理学 2022-02-22 Subhaya Bose , Patrick S. Noerr , Ajay Gopinathan , Arvind Gopinath , Kinjal Dasbiswas

Topological edge modes are excitations that are localized at the materials' edges and yet are characterized by a topological invariant defined in the bulk. Such bulk-edge correspondence has enabled the creation of robust electronic,…

介观与纳米尺度物理 · 物理学 2020-11-30 Ananya Ghatak , Martin Brandenbourger , Jasper van Wezel , Corentin Coulais

We investigate low energy structures of a lattice with dislocations in the context of nonlinear elasticity. We show that these low energy configurations exhibit in the limit a Cosserat-like behavior. Moreover, we give bounds from above and…

数学物理 · 物理学 2017-03-10 Gianluca Lauteri , Stephan Luckhaus

A constitutive relation between stress and strain relative to a reference state is the basic assumption of elasticity theory. However, in living matter, force generation is governed by motor molecule activity, which does not depend on…

软凝聚态物质 · 物理学 2026-03-17 Nikolas H. Claussen , Fridtjof Brauns , Boris I. Shraiman

The recent years have witnessed an emergence of the field of all-spin-based devices without any flow of charge. An ultimate goal of this scientific direction is the realization of full spectrum of spin-based networks like in modern…

介观与纳米尺度物理 · 物理学 2015-06-18 E. Vedmedenko , D. Altwein