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High-aspect-ratio mechanical resonators are pivotal in precision sensing, from macroscopic gravitational wave detectors to nanoscale acoustics. However, fabrication challenges and high computational costs have limited the…

Mesoscale and Nanoscale Physics · Physics 2024-06-17 Andrea Cupertino , Dongil Shin , Leo Guo , Peter G. Steeneken , Miguel A. Bessa , Richard A. Norte

Tensor network methods provide a scalable solution to represent high-dimensional data. However, their efficacy is often limited by static, expert-defined structures that fail to adapt to evolving data correlations. We address this…

Computational Engineering, Finance, and Science · Computer Science 2026-03-31 Zheng Guo , Aditya Deshpande , Xinyu Wang , Brian C. Kiedrowski , Alex A. Gorodetsky

Long range order and symmetry in heterogeneous materials architected on crystal lattices lead to elastic and inelastic anisotropies and thus limit mechanical functionalities in particular crystallographic directions. Here, we present a…

Soft Condensed Matter · Physics 2025-11-17 Jehoon Moon , Gisoo Lee , Jaehee Lee , Hansohl Cho

Hierarchically structured natural materials possess functionalities unattainable to the same components organized or mixed in simpler ways. For instance, the bones and teeth of mammals are far stronger and more durable than the mineral…

Soft Condensed Matter · Physics 2014-04-04 Thomas K. Haxton , Stephen Whitelam

Advances in materials science have led to physical instantiations of self-assembled networks of memristive devices and demonstrations of their computational capability through reservoir computing. Reservoir computing is an approach that…

Emerging Technologies · Computer Science 2015-04-28 Jens Bürger , Alireza Goudarzi , Darko Stefanovic , Christof Teuscher

Metamaterials are arrangement of basic building blocks that repeat in space, time, or both. These material systems serve as an excellent platform for controlling waves, such as engineering wavenumber band gaps, flat bands, and…

Applied Physics · Physics 2026-01-13 Mohamed A. Elgamal , Osama R. Bilal

Hierarchical structures are very common in Nature, but only recently have they been systematically studied in materials physics, in order to understand the specific effects they can have on the mechanical properties of various systems.…

Materials Science · Physics 2017-02-07 Gianluca Costagliola , Federico Bosia , Nicola M. Pugno

In this paper, we study the response of 2D framed structures made of rectangular cells, to the sudden removal of columns. We employ a simulation algorithm based on the Discrete Element Method, where the structural elements are represented…

Soft Condensed Matter · Physics 2015-09-08 Enrico Masoero , Falk K. Wittel , Hans J. Herrmann , B. M. Chiaia

Chiral structure can be applied to construct metamaterial with negative refractive index (NRI). In an assembly of double-layered metallic U-shaped resonators with two resonant frequencies wH and wL, the effective induced electric and…

The in-plane motion of an electron on helium can couple to superconducting microwave resonators via electrical dipole coupling, offering a robust and rapid readout scheme. In previous efforts, microwave resonator designs for electrons on…

In this work, a novel hierarchical mechanical metamaterial is proposed that is composed of re-entrant truss-lattice elements. It is shown that this system can deform very differently and can exhibit a versatile extent of the auxetic…

Applied Physics · Physics 2022-11-14 Krzysztof K. Dudek , Julio A. Iglesias Martínez , Muamer Kadic

Micro- and nanomechanical systems with exceptionally low dissipation rates are enabling the next-generation technologies of ultra-sensitive detectors and quantum information systems. New techniques and methods for lowering the dissipation…

Mesoscale and Nanoscale Physics · Physics 2022-07-15 Dennis Høj , Ulrich Busk Hoff , Ulrik Lund Andersen

Throughout biology, hierarchy is a recurrent theme in the geometry of structures where strength is achieved with minimal use of material. Acting over vast timescales, evolution has brought about beautiful solutions to problems of…

Soft Condensed Matter · Physics 2018-09-19 D. Rayneau-Kirkhope , Y. Mao , C. Rauch

High quality micro- and nano-mechanical resonators are widely used in sensing, communications and timing, and have future applications in quantum technologies and fundamental studies of quantum physics. Crystalline thin-films are…

The principle of hierarchical design is a prominent theme in many natural systems where mechanical efficiency is of importance. Here we establish the properties of a particular hierarchical structure, showing that high mechanical efficiency…

Classical Physics · Physics 2013-12-18 Daniel Rayneau-Kirkhope , Yong Mao , Robert Farr

Metamaterials are composed of periodic subwavelength metal/dielectric structures that resonantly couple to the electric and/or magnetic components of the incident electromagnetic fields, exhibiting properties that are not found in nature.…

Optics · Physics 2016-11-29 Hou-Tong Chen , Antoinette J Taylor , Nanfang Yu

Hierarchical structures are abundant in nature, such as in the superhydrophobic surfaces of lotus leaves and the structural coloration of butterfly wings. They consist of ordered features across multiple size scales, and their unique…

Engineered micro- and nanomechanical resonators with ultra-low dissipation constitute the ideal systems for applications ranging from high-precision sensing such as magnetic resonance force microscopy, to quantum transduction between…

Mesoscale and Nanoscale Physics · Physics 2021-10-27 Dennis Høj , Fengwen Wang , Wenjun Gao , Ulrich Busk Hoff , Ole Sigmund , Ulrik Lund Andersen

Materials designed by nature commonly exhibit functional grading and laminated structures, particularly when intended for enhanced impact protection. Synthetic materials have also found success in exploiting this concept with fully dense…

Materials Science · Physics 2026-05-13 Thomas Butruille , Joshua C. Crone , Carlos M. Portela

Martensitic materials show a complex, hierarchical microstructure containing structural domains separated by various types of twin boundaries. Several concepts exist to describe this microstructure on each length scale, however, there is no…