Cargando…

Compression Deformation Prediction of Chiral Metamaterials: A Compression–Shear Coupling Model

A category of metamaterials consisting of chiral cytosolic elements assembled periodically, in which the introduction of a rotatable annular structure gives metamaterials the ability to deform in compression–shear, has been a focus of research in recent years. In this paper, a compression–shear coup...

Descripción completa

Detalles Bibliográficos
Autores principales: Zhou, Xin, Liang, Xi, Liu, Zeliang, Tao, Chenglin, Li, Huijian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9369609/
https://www.ncbi.nlm.nih.gov/pubmed/35897608
http://dx.doi.org/10.3390/ma15155180
_version_ 1784766515736739840
author Zhou, Xin
Liang, Xi
Liu, Zeliang
Tao, Chenglin
Li, Huijian
author_facet Zhou, Xin
Liang, Xi
Liu, Zeliang
Tao, Chenglin
Li, Huijian
author_sort Zhou, Xin
collection PubMed
description A category of metamaterials consisting of chiral cytosolic elements assembled periodically, in which the introduction of a rotatable annular structure gives metamaterials the ability to deform in compression–shear, has been a focus of research in recent years. In this paper, a compression–shear coupling model is developed to predict the compressive deformation behaviour of chiral metamaterials. This behaviour will be analysed by coupling the rotation of the annular node and the bending characteristics of ligament beam, which are obtained as a function of the length of ligament beam and the angle of rotation at the end of the beam. The shape function of the ligament beam under large deformation is obtained based on the elliptic integral theory; the function characterises the potential relationship between key parameters such as displacement and rotation angle at any point on the ligament beam. By simulating the deformation of cells under uniaxial compression, the reasonableness of the large deformation model of the ligament beam is verified. On this basis, a chiral cell-compression mechanical model considering the ductile deformation of the annular node is established. The compression–shear deformation of two-dimensional planar chiral metamaterials and three-dimensional cylindrical-shell chiral metamaterials was predicted; the offset displacements and torsion angles agreed with the experimental and finite element simulation results with an error of less than 10%. The developed compression–shear coupling model provides a theoretical basis for the design of chiral metamaterials, which meet the need for the precise control of shapes and properties.
format Online
Article
Text
id pubmed-9369609
institution National Center for Biotechnology Information
language English
publishDate 2022
publisher MDPI
record_format MEDLINE/PubMed
spelling pubmed-93696092022-08-12 Compression Deformation Prediction of Chiral Metamaterials: A Compression–Shear Coupling Model Zhou, Xin Liang, Xi Liu, Zeliang Tao, Chenglin Li, Huijian Materials (Basel) Article A category of metamaterials consisting of chiral cytosolic elements assembled periodically, in which the introduction of a rotatable annular structure gives metamaterials the ability to deform in compression–shear, has been a focus of research in recent years. In this paper, a compression–shear coupling model is developed to predict the compressive deformation behaviour of chiral metamaterials. This behaviour will be analysed by coupling the rotation of the annular node and the bending characteristics of ligament beam, which are obtained as a function of the length of ligament beam and the angle of rotation at the end of the beam. The shape function of the ligament beam under large deformation is obtained based on the elliptic integral theory; the function characterises the potential relationship between key parameters such as displacement and rotation angle at any point on the ligament beam. By simulating the deformation of cells under uniaxial compression, the reasonableness of the large deformation model of the ligament beam is verified. On this basis, a chiral cell-compression mechanical model considering the ductile deformation of the annular node is established. The compression–shear deformation of two-dimensional planar chiral metamaterials and three-dimensional cylindrical-shell chiral metamaterials was predicted; the offset displacements and torsion angles agreed with the experimental and finite element simulation results with an error of less than 10%. The developed compression–shear coupling model provides a theoretical basis for the design of chiral metamaterials, which meet the need for the precise control of shapes and properties. MDPI 2022-07-26 /pmc/articles/PMC9369609/ /pubmed/35897608 http://dx.doi.org/10.3390/ma15155180 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Zhou, Xin
Liang, Xi
Liu, Zeliang
Tao, Chenglin
Li, Huijian
Compression Deformation Prediction of Chiral Metamaterials: A Compression–Shear Coupling Model
title Compression Deformation Prediction of Chiral Metamaterials: A Compression–Shear Coupling Model
title_full Compression Deformation Prediction of Chiral Metamaterials: A Compression–Shear Coupling Model
title_fullStr Compression Deformation Prediction of Chiral Metamaterials: A Compression–Shear Coupling Model
title_full_unstemmed Compression Deformation Prediction of Chiral Metamaterials: A Compression–Shear Coupling Model
title_short Compression Deformation Prediction of Chiral Metamaterials: A Compression–Shear Coupling Model
title_sort compression deformation prediction of chiral metamaterials: a compression–shear coupling model
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9369609/
https://www.ncbi.nlm.nih.gov/pubmed/35897608
http://dx.doi.org/10.3390/ma15155180
work_keys_str_mv AT zhouxin compressiondeformationpredictionofchiralmetamaterialsacompressionshearcouplingmodel
AT liangxi compressiondeformationpredictionofchiralmetamaterialsacompressionshearcouplingmodel
AT liuzeliang compressiondeformationpredictionofchiralmetamaterialsacompressionshearcouplingmodel
AT taochenglin compressiondeformationpredictionofchiralmetamaterialsacompressionshearcouplingmodel
AT lihuijian compressiondeformationpredictionofchiralmetamaterialsacompressionshearcouplingmodel