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Metamaterials posses microstructure designed to acquire properties not found in nature. An epitome in acoustics and solid mechanics is Willis coupling, which refers to the particle velocity-stress coupling, and of great significance since…

Applied Physics · Physics 2019-10-24 René Pernas-Salomón , Gal Shmuel

Analogous to electromagnetic bianisotropy, engineered piezoelectric metamaterials can possess electro-momentum coupling between the macroscopic momentum and electric stimuli. This indicates the applicability of piezoelectric metamaterials…

Materials Science · Physics 2022-10-12 Jeong-Ho Lee , Zhizhou Zhang , Grace X. Gu

Asymmetric piezoelectric composites exhibit coupling between their macroscopic linear momentum and electric field, a coupling that does not appear at the microscopic scale. This electromomentum coupling constitutes an additional knob to…

Materials Science · Physics 2022-02-23 Majd Kosta , Alan Muhafra , René Pernas Salomón , Gal Shmuel , Oded Amir

Willis dynamic homogenization theory revealed that the effective linear momentum of elastic composites is coupled to their effective strain. % This result, which is partially due to asymmetry at the subwavelength scale, implies that…

Materials Science · Physics 2023-08-16 Kevin Muhafra , Michael R. Haberman , Gal Shmuel

Piezoelectric materials have wide sensing and energy transduction applications due to their inherent coupling of mechanical deformation and electric field. Recent discoveries have revealed that asymmetric or heterogeneous microstructures of…

Materials Science · Physics 2022-02-10 Zhizhou Zhang , Jeong-Ho Lee , Grace X. Gu

Electro-momentum coupling in piezoelectric metamaterials with broken inversion symmetry enables asymmetric elastic wave transport by linking macroscopic electric fields to momentum, an effect analogous to Willis coupling in elastic media. A…

Applied Physics · Physics 2025-10-17 Hrishikesh Danawe , Serife Tol

Bianisotropy is common in electromagnetics whenever a cross-coupling between electric and magnetic responses exists. However, the analogous concept for elastic waves in solids, termed as Willis coupling, is more challenging to observe. It…

Recent developments in the engineering of metamaterials have brought forth a myriad of mesmerizing mechanical properties that do not exist in ordinary solids. Among these, twisting metamaterials, acoustical chirality, or Willis coupling are…

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…

Electromagnetic bi-anisotropy finds an analogy in acoustic metamaterial science as Willis coupling. Its impact and emergence in the field of elastodynamic metamaterials is not as well understood however, given the coupling between…

Applied Physics · Physics 2025-05-09 Philip A Cotterill , David Nigro , William J. Parnell

Acoustic metamaterials are structures with exotic acoustic properties, having promising applications in acoustic beam steering, focusing, impedance matching, absorption and isolation. Recent work has shown that the efficiency of many…

Classical Physics · Physics 2019-08-29 Anton Melnikov , Li Quan , Sebastian Oberst , Andrea Alù , Steffen Marburg , David Powell

Acoustic bianisotropy, also known as the Willis parameter, expands the field of acoustics by providing nonconventional couplings between momentum and strain in constitutive relations. Sharing the common ground with electromagnetics, the…

Applied Physics · Physics 2020-08-25 Choonlae Cho , Xinhua Wen , Namkyoo Park , Jensen Li

Acoustic meta-atoms serve as the building blocks of metamaterials, with linear properties designed to achieve functions such as beam steering, cloaking and focusing. They have also been used to shape the characteristics of incident acoustic…

Applied Physics · Physics 2022-02-15 Shahrokh Sepehrirahnama , Sebastian Oberst , Yan Kei Chiang , David A. Powell

In this paper we review the recent advances which have taken place in the understanding and applications of acoustic/elastic metamaterials. Metamaterials are artificially created composite materials which exhibit unusual properties which…

Materials Science · Physics 2015-02-12 Ankit Srivastava

Willis materials are complex media characterized by four macroscopic material parameters, the conventional mass density, and bulk modulus and two additional Willis coupling terms, which have been shown to enable unsurpassed control over the…

Applied Physics · Physics 2019-06-12 Yuxin Zhai , Hyung-Suk Kwon , Bogdan-Ioan Popa

In this paper, we present the realization of an elastic metamaterial allowing independent tuning of negative density and stiffness for elastic waves propagating along a designated direction. In electromagnetic (or acoustic) metamaterials,…

Other Condensed Matter · Physics 2016-01-14 Joo Hwan Oh , Young Eui Kwon , Hyung Jin Lee , Yoon Young Kim

An innovative special class of tunable periodic metamaterials is designed, suitable for realising high-performance acoustic filters. The metamaterial is made up of a phononic crystal coupled to local resonators. Such local resonators…

Applied Physics · Physics 2021-09-28 Andrea Bacigalupo , Maria Laura De Bellis , Diego Misseroni

Precise control of the polarization and propagation direction of elastic waves is a fundamental challenge in elastodynamics. Achieving efficient mode conversion along arbitrary paths with conventional techniques has proven difficult. In…

Applied Physics · Physics 2024-10-24 Shiheng Zhao , Zhan Tian , Jiaji Chen , Heng Jiang , Zheng Chang , Guoliang Huang

In the development of active animate materials, electromechanical coupling is highly attractive to realize mechanoresponsive functionality. Piezoelectricity is the most utilized electromechanical phenomenon due to the wide availability of…

A flexible wave localization is investigated using a spatial-temporal modulation of point defects along the periodic array of electromechanical local resonators of a piezoelectric bimorph beam. By changing the electrical resonance of…

Applied Physics · Physics 2022-02-01 Renan Lima Thomes , Danilo Beli , Carlos De Marqui
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