整合单层弯曲和表层效应的二维材料均质化

IF 5 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Journal of The Mechanics and Physics of Solids Pub Date : 2024-10-19 DOI:10.1016/j.jmps.2024.105911
Huichao Liu , Yan Chen , Wen Wang , Luqi Liu , Yilun Liu , Quanshui Zheng
{"title":"整合单层弯曲和表层效应的二维材料均质化","authors":"Huichao Liu ,&nbsp;Yan Chen ,&nbsp;Wen Wang ,&nbsp;Luqi Liu ,&nbsp;Yilun Liu ,&nbsp;Quanshui Zheng","doi":"10.1016/j.jmps.2024.105911","DOIUrl":null,"url":null,"abstract":"<div><div>Two-dimensional (2D) materials hold great promise for future electronic, optical, thermal devices and beyond, underpinning which the predictability, stability and reliability of their mechanical behaviors are the fundamental prerequisites. Despite this, due to the layered crystal lattice structure, extremely high anisotropy and the independent deformation mechanism of out-of-plane bending, the proper homogenization for such materials still faces challenge. That is because the monolayer bending is of independent deformation mechanism distinct from the traditional bulk deformation which thereby brings couple stress to the bulk 2D materials, while the different interlayer constraints of bulk and surface layers bring surface layer effect. In this paper, by considering the two effects, a continuum mechanics framework for extremely anisotropic 2D materials (CM2D) is proposed, without necessities of ad hoc experiments for the unclassical parameters. Under the framework of the CM2D, beam-like deformation, plate-like deformation and indentation of 2D materials are studied to showcase its ability and applicability. An analytical expression of the effective bending rigidity is derived, which can be characterized by several dimensionless parameters. It is found that the overall bending deformations of 2D materials are controlled by the competition between the intralayer deformation mode and the interlayer shear deformation mode. Besides, the size-dependent modulus is also identified on the indentation of 2D materials at the pure elastic deformation regime, distinct from the size effect caused by plasticity. In addition, we discussed the effects of monolayer bending and surface layer on the mechanical behaviors of 2D materials. Our work not only provides guidance for the studies and applications of 2D materials, but also serves as a good example with well-defined physical meanings for the strain gradient, high-order moduli and couple stress in high-order continuum mechanics theories.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"194 ","pages":"Article 105911"},"PeriodicalIF":5.0000,"publicationDate":"2024-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Homogenization of two-dimensional materials integrating monolayer bending and surface layer effects\",\"authors\":\"Huichao Liu ,&nbsp;Yan Chen ,&nbsp;Wen Wang ,&nbsp;Luqi Liu ,&nbsp;Yilun Liu ,&nbsp;Quanshui Zheng\",\"doi\":\"10.1016/j.jmps.2024.105911\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Two-dimensional (2D) materials hold great promise for future electronic, optical, thermal devices and beyond, underpinning which the predictability, stability and reliability of their mechanical behaviors are the fundamental prerequisites. Despite this, due to the layered crystal lattice structure, extremely high anisotropy and the independent deformation mechanism of out-of-plane bending, the proper homogenization for such materials still faces challenge. That is because the monolayer bending is of independent deformation mechanism distinct from the traditional bulk deformation which thereby brings couple stress to the bulk 2D materials, while the different interlayer constraints of bulk and surface layers bring surface layer effect. In this paper, by considering the two effects, a continuum mechanics framework for extremely anisotropic 2D materials (CM2D) is proposed, without necessities of ad hoc experiments for the unclassical parameters. Under the framework of the CM2D, beam-like deformation, plate-like deformation and indentation of 2D materials are studied to showcase its ability and applicability. An analytical expression of the effective bending rigidity is derived, which can be characterized by several dimensionless parameters. It is found that the overall bending deformations of 2D materials are controlled by the competition between the intralayer deformation mode and the interlayer shear deformation mode. Besides, the size-dependent modulus is also identified on the indentation of 2D materials at the pure elastic deformation regime, distinct from the size effect caused by plasticity. In addition, we discussed the effects of monolayer bending and surface layer on the mechanical behaviors of 2D materials. Our work not only provides guidance for the studies and applications of 2D materials, but also serves as a good example with well-defined physical meanings for the strain gradient, high-order moduli and couple stress in high-order continuum mechanics theories.</div></div>\",\"PeriodicalId\":17331,\"journal\":{\"name\":\"Journal of The Mechanics and Physics of Solids\",\"volume\":\"194 \",\"pages\":\"Article 105911\"},\"PeriodicalIF\":5.0000,\"publicationDate\":\"2024-10-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of The Mechanics and Physics of Solids\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022509624003776\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of The Mechanics and Physics of Solids","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022509624003776","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

摘要

二维(2D)材料在未来的电子、光学、热能设备等领域大有可为,其机械行为的可预测性、稳定性和可靠性是其基本前提。尽管如此,由于层状晶格结构、极高的各向异性和平面外弯曲的独立变形机制,对这类材料进行适当的均匀化处理仍然面临挑战。这是因为单层弯曲的独立变形机制不同于传统的块体变形,从而给块体二维材料带来了耦合应力,而块体层和表层不同的层间约束又带来了表层效应。本文通过考虑这两种效应,提出了一种适用于极度各向异性二维材料的连续介质力学框架(CM2D),而无需对非经典参数进行专门实验。在 CM2D 框架下,研究了二维材料的梁状变形、板状变形和压痕,以展示其能力和适用性。推导出了有效弯曲刚度的分析表达式,该表达式可以用几个无量纲参数来表征。研究发现,二维材料的整体弯曲变形受控于层内变形模式和层间剪切变形模式之间的竞争。此外,在纯弹性变形机制下,二维材料的压痕也发现了与尺寸相关的模量,这有别于塑性引起的尺寸效应。此外,我们还讨论了单层弯曲和表面层对二维材料力学行为的影响。我们的工作不仅为二维材料的研究和应用提供了指导,还为高阶连续介质力学理论中的应变梯度、高阶模量和耦合应力提供了一个具有明确物理意义的良好范例。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Homogenization of two-dimensional materials integrating monolayer bending and surface layer effects
Two-dimensional (2D) materials hold great promise for future electronic, optical, thermal devices and beyond, underpinning which the predictability, stability and reliability of their mechanical behaviors are the fundamental prerequisites. Despite this, due to the layered crystal lattice structure, extremely high anisotropy and the independent deformation mechanism of out-of-plane bending, the proper homogenization for such materials still faces challenge. That is because the monolayer bending is of independent deformation mechanism distinct from the traditional bulk deformation which thereby brings couple stress to the bulk 2D materials, while the different interlayer constraints of bulk and surface layers bring surface layer effect. In this paper, by considering the two effects, a continuum mechanics framework for extremely anisotropic 2D materials (CM2D) is proposed, without necessities of ad hoc experiments for the unclassical parameters. Under the framework of the CM2D, beam-like deformation, plate-like deformation and indentation of 2D materials are studied to showcase its ability and applicability. An analytical expression of the effective bending rigidity is derived, which can be characterized by several dimensionless parameters. It is found that the overall bending deformations of 2D materials are controlled by the competition between the intralayer deformation mode and the interlayer shear deformation mode. Besides, the size-dependent modulus is also identified on the indentation of 2D materials at the pure elastic deformation regime, distinct from the size effect caused by plasticity. In addition, we discussed the effects of monolayer bending and surface layer on the mechanical behaviors of 2D materials. Our work not only provides guidance for the studies and applications of 2D materials, but also serves as a good example with well-defined physical meanings for the strain gradient, high-order moduli and couple stress in high-order continuum mechanics theories.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Journal of The Mechanics and Physics of Solids
Journal of The Mechanics and Physics of Solids 物理-材料科学:综合
CiteScore
9.80
自引率
9.40%
发文量
276
审稿时长
52 days
期刊介绍: The aim of Journal of The Mechanics and Physics of Solids is to publish research of the highest quality and of lasting significance on the mechanics of solids. The scope is broad, from fundamental concepts in mechanics to the analysis of novel phenomena and applications. Solids are interpreted broadly to include both hard and soft materials as well as natural and synthetic structures. The approach can be theoretical, experimental or computational.This research activity sits within engineering science and the allied areas of applied mathematics, materials science, bio-mechanics, applied physics, and geophysics. The Journal was founded in 1952 by Rodney Hill, who was its Editor-in-Chief until 1968. The topics of interest to the Journal evolve with developments in the subject but its basic ethos remains the same: to publish research of the highest quality relating to the mechanics of solids. Thus, emphasis is placed on the development of fundamental concepts of mechanics and novel applications of these concepts based on theoretical, experimental or computational approaches, drawing upon the various branches of engineering science and the allied areas within applied mathematics, materials science, structural engineering, applied physics, and geophysics. The main purpose of the Journal is to foster scientific understanding of the processes of deformation and mechanical failure of all solid materials, both technological and natural, and the connections between these processes and their underlying physical mechanisms. In this sense, the content of the Journal should reflect the current state of the discipline in analysis, experimental observation, and numerical simulation. In the interest of achieving this goal, authors are encouraged to consider the significance of their contributions for the field of mechanics and the implications of their results, in addition to describing the details of their work.
期刊最新文献
Parametric extended physics-informed neural networks for solid mechanics with complex mixed boundary conditions Thermodynamic potentials for viscoelastic composites Time-dependent constitutive behaviors of a dynamically crosslinked glycerogel governed by bond kinetics and chain diffusion Magnetostriction of soft-magnetorheological elastomers Micromechanics-based variational phase-field modeling of fatigue fracture
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1