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We present a theory for the toughness, damage tolerance, and tensile strength of a class of hierarchical, fractal, metamaterials. We show that the even though the absolute toughness and damage tolerance decrease with increasing number of…

Materials Science · Physics 2016-11-08 Ashivni Shekhawat

An acoustic negative bulk modulus metamaterial based on the concept of expansion chambers is proposed. It is shown that addition of a neck region to an ordinary expansion chamber improves its transmission loss characteristics at low…

Classical Physics · Physics 2015-01-14 Bhisham Sharma , Chin-teh Sun

Various two-dimensional fabrication methods, such as deposition, etching, milling, laser cutting, and water jetting, suffer from asymmetry between the top and the bottom surface of fabricated parts. Such asymmetry is usually undesirable and…

Applied Physics · Physics 2023-05-19 Majid Kheybari , Osama R. Bilal

We study composite assemblages of dielectrics and metamaterials with respectively positive and negative material parameters. In the continuum case, for a scalar equation, such media may exhibit so-called plasmonic resonances for certain…

Analysis of PDEs · Mathematics 2024-07-30 Kaïs Ammari , Eric Bonnetier , Alessandro Duca

We present a comprehensive review of the physical behavior of yield stress materials in soft condensed matter, which encompass a broad range of materials from colloidal assemblies and gels to emulsions and non-Brownian suspensions. All…

Soft Condensed Matter · Physics 2017-08-25 Daniel Bonn , Morton M. Denn , Ludovic Berthier , Thibaut Divoux , Sébastien Manneville

Flexible mechanical metamaterials are compliant structures engineered to achieve unique properties via the large deformation of their components. While their static character has been studied extensively, the study of their dynamic…

Applied Physics · Physics 2023-02-22 Bolei Deng , Jordan R. Raney , Katia Bertoldi , Vincent Tournat

When stretched in one direction, most solids shrink in the transverse directions. In soft silicone gels, however, we observe that small-scale topographical features grow upon stretching. A quantitative analysis of the topography shows that…

A structural element is designed and investigated, forming the basis for the development of an elastic multistable metamaterial. The leitmotif of the structural design is the implementation of a strut characterized by a bifurcation…

Classical Physics · Physics 2022-07-19 Nikolin Hima , Davide Bigoni , Francesco Dal Corso

The paper studies the interaction of a longitudinal wave with transverse waves in general isotropic and unconstrained hyperelastic materials, including the possibility of dissipation. The dissipative term chosen is similar to the classical…

Soft Condensed Matter · Physics 2013-04-25 Michel Destrade , Giuseppe Saccomandi

The mechanical properties of crystalline materials can be substantially modified under confinement. Such modified macroscopic properties are usually governed by the altered microstructures and internal stress fields. Here, we use a parallel…

Soft Condensed Matter · Physics 2016-10-25 Neil Y. C. Lin , Itai Cohen

The toughness of a polymer material can increase significantly if two networks are combined into one material. This toughening effect is a consequence of a transition from a brittle to a ductile failure response. Although this transition…

Soft Condensed Matter · Physics 2020-07-01 Justin Tauber , Simone Dussi , Jasper van der Gucht

Material responses to static and dynamic stimuli, represented as nonlinear curves, are design targets for engineering functionalities like structural support, impact protection, and acoustic and photonic bandgaps. Three-dimensional…

Mechanical metamaterials are structures designed to exhibit an exotic response, such as topological soft modes at a surface. Here we explore single-material 3D prints of these topological structures by translating a ball-and-spring model…

Soft Condensed Matter · Physics 2023-01-16 Achilles Bergne , Guido Baardink , Evripides G Loukaides , Anton Souslov

Time-varying metamaterials are artificial materials whose electromagnetic properties change over time. Similar to a spatial medium discontinuity, a sudden change in time of the metamaterial refractive index induces the generation of a…

Classical Physics · Physics 2025-02-06 Davide Ramaccia , Alessandro Toscano , Filiberto Bilotti

Soft materials exhibit significant nonlinear geometric deformations and stress-strain relationships under external forces. This paper explores weakly nonlinear elasticity theories, including Landau's and Murnaghan's formulations, advancing…

Soft Condensed Matter · Physics 2025-04-29 Yangkun Du , Nicholas A Hill , XIaoyu Luo

A large variety of materials, widely encountered both in engineering applications and in the biological realm, are characterised by a non-vanishing internal stress distribution, even in the absence of external deformations or applied…

Soft Condensed Matter · Physics 2024-03-15 Artur L. Gower , Tom Shearer , Pasquale Ciarletta , Michel Destrade

Epsilon-Near-Zero materials exhibit a transition in the real part of the dielectric permittivity from positive to negative value as a function of wavelength. Here we study metal-dielectric layered metamaterials in the homogenised regime…

The work discusses specifics of phase transitions for metastable states of substances. The objects of condensed media physics are primarily equilibrium states of substances with metastable phases viewed as an exception, while the…

Materials Science · Physics 2009-11-11 V. V. Brazhkin

According to the classical theory of elasticity, a plate subjected to a bending moment always deflects with symmetric tensile and compressive strains in its two sides, without overall deformation perpendicular to the bending moment. Here,…

Materials Science · Physics 2017-04-12 Douxing Pan , Yao Li , Tzu-Chiang Wang , Wanlin Guo

Passive mechanical response of skeletal muscles at fast time scales is dominated by long range interactions inducing cooperative behavior without breaking the detailed balance. This leads to such unusual "material properties" as negative…

Biological Physics · Physics 2013-06-28 Matthieu Caruel , Jean-Marc Allain , Lev Truskinovsky