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This paper introduces for the first time the concepts of non-coherent interfaces and microstructure-driven interface forces in the framework of micromorphic elasticity. It is shown that such concepts are of paramount importance when…

Classical Physics · Physics 2024-01-30 L. A. Perez Ramirez , F. Erel-Demore , G. Rizzi , J. Voss , A. Madeo

We resort to variational methods to evaluate the asymptotic behavior of fine metamaterials as a function of cell size. To zeroth order, the metamaterial behaves as a micropolar continuum with both displacement and rotation degrees of…

Classical Physics · Physics 2024-12-02 J. Ulloa , M. P. Ariza , J. E. Andrade , M. Ortiz

In civil, mechanical, and aerospace engineering, structural dynamics is commonly understood to be a discipline concerned with the analysis and characterization of the vibratory response of structures. Key elements of the response are the…

Applied Physics · Physics 2018-09-13 Clemence L. Bacquet , Mahmoud I. Hussein

Nonlinear elastic metamaterials are known to support a variety of dynamic phenomena that enhance our capacity to manipulate elastic waves. Since these properties stem from complex, subwavelength geometry, full-scale dynamic simulations are…

Applied Physics · Physics 2024-07-31 Samuel P. Wallen , Michael R. Haberman , Washington DeLima

Dynamic mechanical metamaterials (MMs) are artificial media composed of periodic micro-structures, designed to manipulate wave propagation. Modeling and designing these materials can be computationally demanding due to the broad design…

Applied Physics · Physics 2023-07-04 Weidi Wang , Alireza Amirkhizi

Problems of flexible mechanical metamaterials, and highly deformable porous solids in general, are rich and complex due to nonlinear mechanics and nontrivial geometrical effects. While numeric approaches are successful, analytic tools and…

Soft Condensed Matter · Physics 2022-06-08 Yohai Bar-Sinai , Gabriele Librandi , Katia Bertoldi , Michael Moshe

Multi-functional materials are increasingly essential in many applications due to their ability to serve multiple purposes, simultaneously. Metamaterials can offer tailored functionality based on carefully designed tessellating basic…

Applied Physics · Physics 2025-06-12 Evan Kluge , Osama R. Bilal

We propose and verify experimentally a new concept for achieving strong nonlinear coupling between the electromagnetic and elastic properties in metamaterials. This coupling is provided through a novel degree of freedom in metamaterial…

The interaction between microscopic particles has always been a fascinating and intriguing area of science. Direct interrogation of such interactions is often difficult or impossible. Structured electromagnetic systems offer a rich toolkit…

Mechanical metamaterials often exhibit pattern transformations through instabilities, enabling applications in, e.g., soft robotics, sound reduction, and biomedicine. These transformations and their resulting mechanical properties are…

Soft Condensed Matter · Physics 2025-09-23 Fleur Hendriks , Vlado Menkovski , Martin Doškář , Marc G. D. Geers , Kevin Verbeek , Ondřej Rokoš

We determine the material parameters in the relaxed micromorphic generalized continuum model for a given periodic microstructure in this work. This is achieved through a least squares fitting of the total energy of the relaxed micromorphic…

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

An analytical theory is developed for parametric interactions in metamaterial multilayer structures with simultaneous nonlinear electronic and magnetic responses and with near-zero refractive-index. We demonstrate theoretically that…

Materials Science · Physics 2008-04-01 Simin Feng , Klaus Halterman

Material nonlinearities such as hyperelasticity, viscoelasticity, and plasticity have recently emerged as design paradigms for metamaterials based on buckling. These metamaterials exhibit properties such as shape morphing, transition waves,…

Soft Condensed Matter · Physics 2024-10-23 Wenfeng Liu , Bernard Ennis , Corentin Coulais

Although the invention of the metamaterials has stimulated the interest of many researchers and possesses many important applications, the basic design idea is very simple: composing effective media from many small structured elements and…

Optics · Physics 2015-05-20 Hui Liu , Tao LI , Shu-ming Wang , Shi-ning Zhu

We propose herein a method of material-structure integrated design for broadband absorption of dielectric metamaterial, which is achieved by combination of genetic algorithm and simulation platform. A multi-layered metamaterial absorber…

Applied Physics · Physics 2022-01-26 Mengyue Peng , Faxiang Qina , Liping Zhou , Huijie Wei , Zihao Zhu , Xiaopeng Shen

Machine learning models can assist with metamaterials design by approximating computationally expensive simulators or solving inverse design problems. However, past work has usually relied on black box deep neural networks, whose reasoning…

Machine Learning · Computer Science 2022-10-04 Zhi Chen , Alexander Ogren , Chiara Daraio , L. Catherine Brinson , Cynthia Rudin

Aiming at the promising superlensing for the medical ultrasonic and detection, the double-negative metamaterials which possess the negative mass density and elastic modulus simultaneously can be acted as the ideal superlens for breaking the…

Materials Science · Physics 2018-11-09 Hao-Wen Dong , Sheng-Dong Zhao , Yue-Sheng Wang , Chuanzeng Zhang

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…

Applied Physics · Physics 2022-11-15 Faisal Jamil , Fei Chen , Bolei Deng , Robert G. Parker , Pai Wang

Mechanical cloaks are materials engineered to manipulate the elastic response around objects to make them indistinguishable from their homogeneous surroundings. Typically, methods based on material-parameter transformations are used to…

Applied Physics · Physics 2022-04-27 Liwei Wang , Jagannadh Boddapati , Ke Liu , Ping Zhu , Chiara Daraio , Wei Chen

Multiscale techniques have been widely shown to potentially overcome the limitation of homogenization schemes in representing the microscopic failure mechanisms in heterogeneous media as well as their influence on their structural response…

Numerical Analysis · Mathematics 2021-08-10 Fabrizio Greco , Lorenzo Leonetti , Paolo Lonetti , Raimondo Luciano , Andrea Pranno