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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

Phononic crystals and metamaterials take advantage of pre-designed geometrical structures to sculpt elastic waves, controlling their dispersion using different mechanisms. These mechanisms revolve mostly around Bragg scattering (BS), local…

Applied Physics · Physics 2018-05-23 André Foehr , Osama R. Bilal , Sebastian D. Huber , Chiara Daraio

A reinforcement learning approach to design optimised graded metamaterials for mechanical energy confinement and amplification is described. Through the proximal policy optimisation algorithm, the reinforcement agent is trained to optimally…

Applied Physics · Physics 2023-02-27 Luca Rosafalco , Jacopo Maria De Ponti , Luca Iorio , Raffaele Ardito , Alberto Corigliano

Motivated by recent advances in the inverse design of electromagnetic materials, we develop two methods for manipulating flexural waves on thin elastic plates. Firstly, we derive a technique for determining plate pinning or mass-loading of…

Applied Physics · Physics 2023-10-06 James R Capers

In this paper, we present a novel interdisciplinary approach to study the relationship between diffusive surface structures and their acoustic performance. Using computational design, surface structures are iteratively generated and 3D…

Quadratic unconstrained binary optimization (QUBO) solvers can be applied to design an optimal structure to avoid resonance. QUBO algorithms that work on a classical or quantum device have succeeded in some industrial applications. However,…

Mesoscale and Nanoscale Physics · Physics 2022-09-29 Tadayoshi Matsumori , Masato Taki , Tadashi Kadowaki

Structured metamaterials are at the core of extensive research, promising for acoustic and thermal engineering. Nevertheless, the computational cost required for correctly simulating large systems imposes to use a continuous model to…

Soft Condensed Matter · Physics 2022-03-14 Haoming Luo , Valentina M. Giordano , Anthony Gravouil , Anne Tanguy

Structural vibrations are a source of unwanted noise in engineering systems like cars, trains or airplanes. Minimizing these vibrations is crucial for improving passenger comfort. This work presents a novel design optimization approach…

Computational Engineering, Finance, and Science · Computer Science 2025-06-19 Jan van Delden , Julius Schultz , Sebastian Rothe , Christian Libner , Sabine C. Langer , Timo Lüddecke

This work presents a combined numerical and experimental approach to characterize the macroscopic transport and acoustic behavior of foam materials with a membrane cellular structure. A direct link between the sound absorption behavior of a…

Applied Physics · Physics 2017-12-12 Van Hai Trinh , Camille Perrot , Vincent Langlois , Olivier Pitois , Yacine Khidas

In this work, we present a computational analysis of the planar wave propagation behavior of a one-dimensional periodic multi-stable cellular material. Wave propagation in these materials is interesting because they combine the ability of…

Applied Physics · Physics 2019-11-19 Camilo Valencia , David Restrepo , Nilesh D. mankame , Pablo D. Zavattieri , Juan Gomez

This study presents a topology optimization scheme for realizing a bound state in the continuum along an open acoustic waveguide comprising a periodic array of elastic materials. First, we formulate the periodic problem as a system of…

Numerical Analysis · Mathematics 2022-07-08 Kei Matsushima , Hiroshi Isakari , Toru Takahashi , Toshiro Matsumoto

The elastic wave propagation is investigated in the beam lattice material characterized by a square periodic cell with anti-tetrachiral microstructure. With reference to the Floquet-Bloch spectrum, focus is made on the band structure…

Materials Science · Physics 2016-08-04 Andrea Bacigalupo , Giorgio Gnecco , Marco Lepidi , Luigi Gambarotta

By considering the membrane's dissipation, the membrane-type acoustic metamaterial (MAM) has been demonstrated as a super absorber for low-frequency sound. In the paper, a theoretical vibroacoustic plate model is developed to reveal sound…

Soft Condensed Matter · Physics 2015-06-17 Yangyang Chen , Xiaoming Zhou , Gengkai Hu , Chin-Teh Sun , Guoliang Huang

The paper is devoted to the shape optimization of microstructures generating porous locally periodic materials saturated by viscous fluids. At the macroscopic level, the porous material is described by the Biot model defined in terms of the…

Optimization and Control · Mathematics 2018-12-03 Daniel Hübner , Eduard Rohan , Vladimír Lukeš , Michael Stingl

Wave-guide-based physical systems provide a promising route toward energy-efficient analog computing beyond traditional electronics. Within this landscape, acoustic neural networks represent a promising approach for achieving low-power…

Sound · Computer Science 2025-11-27 Ivan Kalthoff , Marcel Rey , Raphael Wittkowski

Piezoelectric elastic metamaterials offer the ability to overcome the fixed, narrow bandwidth characteristics of passive elastic metamaterials. Interesting ultrasonic band gaps exist in piezoelectric plate metamaterials with periodic…

Applied Physics · Physics 2022-07-19 David R. Schipf , Matthew D. Guild , Caleb F. Sieck

Effective interface conditions for a periodically voided thin layer separating two homogeneous bulk regions are derived for the elastic wave equation by taking the simultaneous limit of vanishing layer periodicity and layer thickness. The…

Analysis of PDEs · Mathematics 2026-03-30 Markus Gahn , Tanja Lochner , Malte A. Peter

We propose the design of an impedance matching acoustic bend in this article. The bending structure is composed of sub-wavelength unit cells with perforated plates and side pipes, whose mass density and bulk modulus can be tuned…

Classical Physics · Physics 2017-03-08 Yuzhen Yang , Han Jia , Wenjia Lu , Zhaoyong Sun , Jun Yang

In this paper, we propose an approach for describing wave propagation in finite-size microstructured metamaterials using a reduced relaxed micromorphic model. This method introduces an additional kinematic field with respect to the…

Applied Physics · Physics 2023-11-30 Plastiras Demetriou , Gianluca Rizzi , Angela Madeo

A topology optimization method is presented for the design of periodic microstructured materials with prescribed homogenized nonlinear constitutive properties over finite strain ranges. The mechanical model assumes linear elastic isotropic…

Computational Engineering, Finance, and Science · Computer Science 2020-05-20 Reza Behrou , Maroun Abi Ghanem , Brianna C. Macnider , Vimarsh Verma , Ryan Alvey , Jinho Hong , Ashley F. Emery , Hyunsun Alicia Kim , Nicholas Boechler