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Materials designed by nature commonly exhibit functional grading and laminated structures, particularly when intended for enhanced impact protection. Synthetic materials have also found success in exploiting this concept with fully dense…

Materials Science · Physics 2026-05-13 Thomas Butruille , Joshua C. Crone , Carlos M. Portela

Developments in metamaterials and related structures such as metasurfaces have opened up new possibilities in designing materials and devices with unique properties. The main progress related to electromagnetic waves applications was done…

Medical Physics · Physics 2016-12-13 Rita Schmidt , Alexey Slobozhanyuk , Pavel Belov , Andrew Webb

Shape-morphing metamaterials enable adaptive structures capable of complex functional deformations, with applications ranging from reconfigurable structures and soft robotics to medical devices. However, their design remains challenging due…

Computational Engineering, Finance, and Science · Computer Science 2026-05-11 Jipeng Cui , Wei "Wayne" Chen

We present a semianalytical method for designing meta-atoms in multilayered metasurfaces (MSs), relying on a rigorous model developed for multielement metagratings. Notably, this model properly accounts for near-field coupling effects,…

Applied Physics · Physics 2019-02-01 Shahar Levy , Yaniv Kerzhner , Ariel Epstein

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…

Applied Physics · Physics 2025-01-28 Krzysztof K. Dudek , Muamer Kadic , Corentin Coulais , Katia Bertoldi

There has been significant recent interest in the mechanics community to design structures that can either violate reciprocity, or exhibit elastic asymmetry or odd elasticity. While these properties are highly desirable to enable mechanical…

Applied Physics · Physics 2024-04-23 Lingxiao Yuan , Emma Lejeune , Harold S. Park

Metamaterials are a new generation of advanced materials, exhibiting engineered microstructures that enable customized material properties not found in nature. The dynamics of metamaterials are particularly fascinating, promising the…

Applied Physics · Physics 2025-07-03 Charles Dorn , Vignesh Kannan , Ute Drechsler , Dennis M. Kochmann

The paper addresses a novel model of metamaterial structure. A system of spinners has been embedded into a two-dimensional periodic lattice system. The equations of motion of spinners are used to derive the expression for the chiral term in…

Mathematical Physics · Physics 2015-06-03 Michele Brun , Ian S. Jones , Alexander B. Movchan

Elastic material with its elastic tensor losing minor symmetry is considered impossible without introducing artificially body torque. Here we demonstrate the feasibility of such material by introducing rotational resonance, the amplified…

Classical Physics · Physics 2020-01-08 Hongkuan Zhang , Yi Chen , Xiaoning Liu , Gengkai Hu

A major limitation of current acoustic metamaterials is that their acoustic properties are either locked into place once fabricated or only modestly tunable, tying them to the particular application for which they are designed. We present…

Classical Physics · Physics 2015-05-05 Bogdan-Ioan Popa , Durvesh Shinde , Adam Konneker , Steven A. Cummer

In this paper the relaxed micromorphic material model for anisotropic elasticity is used to describe the dynamical behavior of a band-gap metamaterial with tetragonal symmetry. Unlike other continuum models (Cauchy, Cosserat, second…

We introduce a compact yet highly expressive design space for shellular metamaterials. By employing only a few dozen degrees of freedom, this design space represents geometries ranging from simple planar configurations to complex triply…

Graphics · Computer Science 2025-11-07 Chang Liu , Bohan Wang

In this paper we model the size-effects of metamaterial beams under bending with the aid of the relaxed micromorphic continuum. We analyze first the size-dependent bending stiffness of heterogeneous fully discretized metamaterial beams…

Numerical Analysis · Mathematics 2024-05-17 Mohammad Sarhil , Lisa Scheunemann , Jörg Schröder , Patrizio Neff

Intelligent metamaterials have attracted widespread research interest due to their self-adaptive capabilities and controllability. They hold great potential for advancing fluid control by providing responsive and flexible solutions.…

Fluid Dynamics · Physics 2024-12-05 Fubao Yang , Yuhong Zhou , Peng Jin , Liujun Xu , Gaole Dai , Jiping Huang

Spinodal metamaterials, with architectures inspired by natural phase-separation processes, have presented a significant alternative to periodic and symmetric morphologies when designing mechanical metamaterials with extreme performance.…

Computational Engineering, Finance, and Science · Computer Science 2025-01-10 Prakash Thakolkaran , Michael A. Espinal , Somayajulu Dhulipala , Siddhant Kumar , Carlos M. Portela

Multi-layer structures are ubiquitous in constructing metamaterial devices to realise various frontier applications including super-resolution imaging and invisibility cloaking. In this paper, we develop a general mathematical framework for…

Classical Physics · Physics 2023-02-28 Youjun Deng , Lingzheng Kong , Hongyu Liu , Liyan Zhu

Metamaterials are composed of periodic subwavelength metal/dielectric structures that resonantly couple to the electric and/or magnetic components of the incident electromagnetic fields, exhibiting properties that are not found in nature.…

Optics · Physics 2016-11-29 Hou-Tong Chen , Antoinette J Taylor , Nanfang Yu

The subject of mechanical metamaterials has been gaining significant attention, however, their widespread application is still halted. Such materials are usually considered as stand-alone, vis-\`a-vis all characteristic length scales being…

Materials Science · Physics 2021-08-17 Adrianos E. F. Athanasiadis , Marcelo A. Dias , Michal K. Budzik

In this paper we derive, by means of a suitable least action principle, the duality jump conditions to be imposed at surfaces of discontinuity of the material properties in non-dissipative, linear-elastic, isotropic, Mindlin's and relaxed…

Mathematical Physics · Physics 2016-08-24 Angela Madeo , Patrizio Neff , Ionel-Dumitrel Ghiba , Giuseppe Rosi

In the present contribution we show that the relaxed micromorphic model is the only non-local continuum model which is able to account for the description of band-gaps in metamaterials for which the kinetic energy accounts separately for…