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Mechanical resonators with high quality factors are of relevance in precision experiments, ranging from gravitational wave detection and force sensing to quantum optomechanics. Beams and membranes are well known to exhibit flexural modes…

We demonstrate that a key elastic parameter of a suspended crystalline membrane---the Poisson ratio (PR) $\nu$---is a non-trivial function of the applied stress $\sigma$ and of the system size $L$, i.e., $\nu=\nu_L(\sigma)$. We consider a…

介观与纳米尺度物理 · 物理学 2018-05-01 I. S. Burmistrov , I. V. Gornyi V. Yu. Kachorovskii , M. I. Katsnelson , J. H. Los , A. D. Mirlin

In layered materials, a common mode of deformation involves buckling of the layers under tensile deformation in the direction perpendicular to the layers. The instability mechanism, which operates in elastic materials from geological to…

材料科学 · 物理学 2012-01-13 Ali Makke , Michel Perez , Olivier Lame , Jean-Louis Barrat

When randomly displacing the nodes of a crystalline and unstressed spring network, we find that the Possion's ratio decreases with the increase of structural disorder and even becomes negative. Employing our finding that longer springs tend…

软凝聚态物质 · 物理学 2019-05-29 Jun Liu , Yunhuan Nie , Hua Tong , Ning Xu

This paper presents a new method for modelling the dynamic behaviour of developable ribbons, two dimensional strips with much smaller width than length. Instead of approximating such surface with a general triangle mesh, we characterize it…

图形学 · 计算机科学 2016-03-15 Zherong Pan , Jin Huang , Hujun Bao

Development of lightweight materials with enhanced mechanical properties has been a long-standing challenge in science and engineering. Lightweight auxetic metastructures (AMSs) provide attractive solutions to this problem. AMSs' negative…

While all materials reduce their intrinsic volume under hydrostatic (uniform) compression, a select few actually \emph{expand} along one or more directions during this process of densification. As rare as it is counterintuitive, such…

材料科学 · 物理学 2016-01-11 Andrew B. Cairns , Andrew L. Goodwin

Plasticity is inherent to many engineering materials such as metals. While it can degrade the load-carrying capacity of structures via material yielding, it can also protect structures through plastic energy dissipation. To fully harness…

计算工程、金融与科学 · 计算机科学 2025-02-05 Yingqi Jia , Xiaojia Shelly Zhang

One of the essential questions in the area of granular matter is, how to obtain macroscopic tensorial quantities like stress and strain from ``microscopic'' quantities like the contact forces in a granular assembly. Different averaging…

统计力学 · 物理学 2007-05-23 Marc Lätzel , Stefan Luding , Hans J. Herrmann

We use a discrete, lattice-based model for two-dimensional materials to show that M\"obius bands made with stretchable materials are less likely to crease or tear. This stems a delocalization of twisting strain that occurs if stretching is…

软凝聚态物质 · 物理学 2016-03-15 David M. Kleiman , Denis F. Hinz , Eliot Fried

Wrinkling is the phenomenon of out-of-plane deformation patterns in thin walled structures, as a result of a local compressive (internal) loads in combination with a large membrane stiffness and a small but non-zero bending stiffness.…

数值分析 · 数学 2025-03-20 H. M. Verhelst , M. Möller , J. H. Den Besten

The downlink of a wireless network where multi-antenna base stations (BSs) communicate with single-antenna mobile stations (MSs) using maximal ratio transmission (MRT) is considered here. The locations of BSs are modeled by a homogeneous…

信息论 · 计算机科学 2015-08-28 George C. Alexandropoulos , Marios Kountouris

The evolution of skyline and ranking queries has created new archetypes like flexible skylines, which have proven to be an efficient method to select relevant data from large datasets using multi objective optimization. This paper aims to…

数据库 · 计算机科学 2022-02-01 Jaime Pons Garrido

Strain plays a critical role in the properties of materials. In silicon and silicon-germanium, strain provides a mechanism for control of both carrier mobility and band offsets. In materials integra-tion, strain is typically tuned through…

We study the Poisson Boolean model where the grains are random convex bodies with a rotation-invariant distribution. We say that a grain distribution is dense if the union of the grains covers the entire space and robust if the union of the…

概率论 · 数学 2024-10-18 Peter Gracar , Marilyn Korfhage , Peter Mörters

Process flexibility is widely adopted as an effective strategy for responding to uncertain demand. Many algorithms for constructing sparse flexibility designs with good theoretical guarantees have been developed for balanced and symmetrical…

数据结构与算法 · 计算机科学 2018-06-11 Xi Chen , Tengyu Ma , Jiawei Zhang , Yuan Zhou

Mechanical metamaterials designed around a zero-energy pathway of deformation, known as a mechanism, have repeatedly challenged the conventional picture of elasticity. However, the complex spatial deformations these structures are able to…

软凝聚态物质 · 物理学 2022-05-30 Michael Czajkowski , D. Zeb Rocklin

Within periodic materials and structures, wave scattering and dispersion occur across constituent material interfaces leading to a banded frequency response. In an earlier paper, the elastodynamics of one-dimensional periodic materials and…

材料科学 · 物理学 2023-12-19 M. I. Hussein , G. M. Hulbert , R. A. Scott

Wave propagation in architectured materials, or materials with microstructure, is known to be dependent on the ratio between the wavelength and a characteristic size of the microstructure. Indeed, when this ratio decreases (i.e. when the…

经典物理 · 物理学 2017-07-24 Rosi Giuseppe , Placidi Luca , Auffray Nicolas

The multiferroic properties of TbMnO3 demonstrate high versatility under applied pressure, making the material potentially suitable for use in flexible electronics. Here, we report on the preparation of elastic freestanding TbMnO3 membranes…

材料科学 · 物理学 2024-05-28 H. Shi , F. Ringe , D. Wang , O. Moran , K. Nayak , A. K. Jaiswal , M. Le Tacon , D. Fuchs