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Research into properties of heterogeneous artificial materials, consisting of arrangements of rigid scatterers embedded in a medium with different elastic properties, has been intense throughout last two decades. The capability to prevent…

In the framework of linearized elasticity, we study thin elastic composite plates with thickness $\delta$. The plates contain small, rigid rectangular plates distributed periodically along $\varepsilon$. Between two neighboring rigid plates…

Analysis of PDEs · Mathematics 2025-12-02 Amartya Chakrabortty , Georges Griso , Julia Orlik

We determine the effective behavior of a class of composites in finite-strain crystal plasticity, based on a variational model for materials made of fine parallel layers of two types. While one component is completely rigid in the sense…

Analysis of PDEs · Mathematics 2016-04-13 Fabian Christowiak , Carolin Kreisbeck

This paper investigates the asymptotic behaviors of time-harmonic acoustic waves generated by an incident wave illuminating inhomogeneous medium inclusions with high-contrast material parameters. We derive sharp asymptotic estimates and…

Analysis of PDEs · Mathematics 2024-10-31 Yueguang Hu , Hongyu Liu

This work studies the acoustic band structure of tensegrity metamaterials, and the possibility to tune the dispersion relation of such systems by playing with local and global prestress variables. Building on established results of the…

Pattern Formation and Solitons · Physics 2018-03-12 Ada Amendola , Anastasiia Krushynska , Chiara Daraio , Nicola M. Pugno , Fernando Fraternali

In this paper, we experimentally demonstrate how discrete resonances can be used to image acoustic sources and mechanical changes in thin plates with different boundary shapes. The proposed method uses coupled numerical and experimental…

Applied Physics · Physics 2023-02-06 Martin Lott , Antonio S. Gliozzi , Federico Bosia

A new method for the design of linear-phase robust far-field broadband beamformers using constrained optimization is proposed. In the method, the maximum passband ripple and minimum stopband attenuation are ensured to be within prescribed…

Systems and Control · Computer Science 2015-06-18 R. C. Nongpiur , D. J. Shpak

We present here a Finite Element Method devoted to the simulation of 3D periodic structures of arbitrary geometry. The numerical method based on ARPACK and PARDISO libraries, is discussed with the aim of extracting the eigenmodes of…

Computational Physics · Physics 2014-02-21 Romain Garnier , André Barka , Olivier Pascal

Serpentine interconnects are highly stretchable and frequently used in flexible electronic systems. In this work, we show that the undulating geometry of the serpentine interconnects will generate phononic band gaps to manipulate elastic…

Applied Physics · Physics 2017-10-11 Pu Zhang , William J. Parnell

Amorphous materials of homogeneous structures usually suffer from nonuniform deformation under shear, which can develop into shear localization and eventually destructive shear band. One approach to tackle this issue is to introduce an…

Materials Science · Physics 2019-02-01 Guo-Jie J. Gao , Yun-Jiang Wang , Shigenobu Ogata

By means of the plane wave method, we study nonuniform, i.e., mode- and k-dependent, effects in the spin-wave spectrum of a two-dimensional bicomponent magnonic crystal. We use the crystal based on a hexagonal lattice squeezed in the…

Mesoscale and Nanoscale Physics · Physics 2019-12-18 S. Mamica , M. Krawczyk

This article is devoted to the study of spectral optimisation for inhomogeneous plates. In particular, we optimise the first eigenvalue of a vibrating plate with respect to its thickness and/or density. Our result is threefold. First, we…

Analysis of PDEs · Mathematics 2021-07-26 Elisa Davoli , Idriss Mazari , Ulisse Stefanelli

We deal with the shape reconstruction of inclusions in elastic bodies. For solving this inverse problem in practice, data fitting functionals are used. Those work better than the rigorous monotonicity methods from [5], but have no…

Numerical Analysis · Mathematics 2022-12-13 Sarah Eberle , Bastian Harrach

A complete methodology, based on a two-scale asymptotic approach, that enables the homogenisation of elastic lattices at non-zero frequencies is developed. Elastic lattices are distinguished from scalar lattices in that two or more types of…

Classical Physics · Physics 2014-07-09 D. J. Colquitt , R. V. Craster , M. Makwana

We consider elastic waves in a two-dimensional periodic lattice network of Timoshenko-type beams. We show that for general configurations involving certain highly-contrasting components a high-contrast modification of the homogenization…

Spectral Theory · Mathematics 2018-12-26 I. V. Kamotski , V. P. Smyshlyaev

This research investigates dynamic response of tunable periodic structures and homogenization methods in magnetoelastic composites (MECs). The research on tunable periodic structures is focused on the design, modeling and understanding of…

Applied Physics · Physics 2018-10-16 Alireza Bayat

We study the formation of frequency band gaps in single column woodpile phononic crystals composed of orthogonally stacked slender cylinders. We focus on investigating the effect of the cylinders local vibrations on the dispersion of…

Materials Science · Physics 2015-06-19 Eunho Kim , Jinkyu Yang

We present a computational framework for two-scale asymptotic homogenization to determine the intrinsic magnetic permeability of composites. To this end, considering linear magnetostatics, both vector and scalar potential formulations are…

Materials Science · Physics 2023-01-05 Celal Soyarslan , Jos Havinga , Leon Abelmann , Ton van den Boogaard

Elastic metamaterials are man-made structures with properties that transcend naturally occurring materials. One predominant feature of elastic metamaterials is locally resonant bandgaps, i.e., frequency ranges at which wave propagation is…

Applied Physics · Physics 2024-03-27 Hasan B. Al Ba'ba'a

With active research in audio compression techniques yielding substantial breakthroughs, spectral reconstruction of low-quality audio waves remains a less indulged topic. In this paper, we propose a novel approach for reconstructing higher…

Sound · Computer Science 2021-08-10 Darshan Deshpande , Harshavardhan Abichandani