High-frequency asymptotics for microstructured thin elastic plates and platonics

Author:

Antonakakis T.12,Craster R. V.1

Affiliation:

1. Department of Mathematics, Imperial College London, London SW7 2AZ, UK

2. European Organization for Nuclear Research, CERN CH-1211, Geneva 23, Switzerland

Abstract

We consider microstructured thin elastic plates that have an underlying periodic structure, and develop an asymptotic continuum model that captures the essential microstructural behaviour entirely in a macroscale setting. The asymptotics are based upon a two-scale approach and are valid even at high frequencies when the wavelength and microscale length are of the same order. The general theory is illustrated via one- and two-dimensional model problems that have zero-frequency stop bands that preclude conventional averaging and homogenization theories. Localized defect modes created by material variations are also modelled using the theory and compared with numerical simulations.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Cited by 54 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Mechanical metamaterials;Reports on Progress in Physics;2023-08-04

2. High frequency homogenization for a one-dimensional acoustic black hole lattice;Wave Motion;2022-11

3. Supersonic wave propagation in heterogeneous solids and the evolution of energy distribution;Mechanics of Advanced Materials and Structures;2022-03-04

4. Theory and experiments for seismic waves propagating within an array of clamped inclusions in a soft matrix;2021 Fifteenth International Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials);2021-09-20

5. Whispering-Bloch elastic circuits;Wave Motion;2021-09

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3