Overall constitutive properties of stratified lattices with alternating chirality.

IF 4.3 3区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-09-23 Epub Date: 2024-08-12 DOI:10.1098/rsta.2023.0355
Andrea Bacigalupo, Paolo Badino, Vito Diana, Luigi Gambarotta
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Abstract

The present research focuses on a continuum description of stratified metamaterials achieved through the superposition of layers with alternating chirality. Each layer is constructed as a periodic assembly of centre-symmetric periodic cells, formed by a recurring arrangement of rigid circular discs connected by elastic ligaments. The layers are interconnected through elastic pins passing through the centres of aligned discs, allowing for either restrained or free relative rotation. A micropolar continuum model is used to describe each individual layer. The overall response of the metamaterials to in-plane forces is derived using a multi-field non-local model, expressed in terms of the average and difference of displacement and rotational fields. The overall micropolar and standard (Cauchy) constitutive tensors have been determined in closed form. The validity of the equivalent generalized micropolar model has been confirmed through comparison with discrete Lagrangian solutions of representative examples. In addition, a detailed analysis of a pseudo-indentation test has been carried out. This article is part of the theme issue 'Current developments in elastic and acoustic metamaterials science (Part 2)'.

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具有交替手性的分层晶格的总体构成特性。
本研究的重点是通过交替手性层的叠加,对分层超材料进行连续描述。每一层都是由中心对称的周期性单元组成的周期性组件,由弹性韧带连接的刚性圆盘重复排列形成。各层之间通过穿过对齐圆盘中心的弹性销钉相互连接,从而实现受约束或自由的相对旋转。每个单独的层都使用微波连续体模型进行描述。超材料对平面力的整体响应是通过多场非局部模型得出的,用位移场和旋转场的平均值和差值表示。以封闭形式确定了整体微波和标准(考奇)构成张量。通过与代表性实例的离散拉格朗日解进行比较,确认了等效广义微极模型的有效性。此外,还对伪压痕试验进行了详细分析。本文是 "弹性和声学超材料科学的最新发展(第 2 部分)"专题的一部分。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
9.30
自引率
2.00%
发文量
367
审稿时长
3 months
期刊介绍: Continuing its long history of influential scientific publishing, Philosophical Transactions A publishes high-quality theme issues on topics of current importance and general interest within the physical, mathematical and engineering sciences, guest-edited by leading authorities and comprising new research, reviews and opinions from prominent researchers.
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