中国科学院理论物理研究所机构知识库
Advanced  
ITP OpenIR  > 理论物理所1978-2010年知识产出  > 期刊论文
题名: Elastic-theory of low-dimensional continua and its applications in bio- and nano-structures
作者: Tu, Z. C. ;  Ou-Yang, Z. C.
刊名: JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE
出版日期: 2008
卷号: 5, 期号:4, 页码:422-448
关键词: WALLED CARBON NANOTUBES ;  RED-BLOOD-CELL ;  SCALE FINITE-ELEMENT ;  DOUBLE-STRANDED DNA ;  SINGLE-WALL ;  SPONTANEOUS-CURVATURE ;  BILAYER-MEMBRANES ;  VESICLE MEMBRANES ;  YOUNGS MODULUS ;  AXISYMMETRICAL VESICLES
学科分类: Physics
通讯作者: Ou-Yang, ZC , Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
部门归属: [Ou-Yang, ZC] Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China; [Tu, ZC] Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China; [Tu, ZC] Univ Stuttgart, Inst Theoret Phys 2, D-70550 Stuttgart, Germany
英文摘要: This review presents the elastic theory of low-dimensional (one- and two-dimensional) continua and its applications in bio- and nano-structures. First, the curve and surface theory, as the geometric representation of the low-dimensional continua, is briefly described through Cartan moving frame method. The elastic theory of Kirchhoff rod, Helfrich rod, bending-soften rod, fluid membrane, and solid shell is revisited. The free energy density of the continua, is constructed on the basis of the symmetry argument. The fundamental equations can be derived from two kinds of viewpoints: the bottom-up and the top-down standpoints. In the former case, the force and moment balance equations are obtained from Newton's laws and then some constitute relations are complemented in terms of the free energy density. In the latter case, the fundamental equations are derived directly from the variation of the free energy. Although the fundamental equations have different forms obtained from these two viewpoints, several examples reveal that they are, in fact, equivalent to each other. Secondly, the application and availability of the elastic theory of low-dimensional continua in bio-structures, including short DNA rings, lipid membranes, and cell membranes, are discussed. The kink stability of short DNA rings is addressed by using the theory of Kirchhoff rod, Helfrich rod, and bending-soften rod. The lipid membranes obey the theory of fluid membrane. The shape equation and the stability of closed lipid vesicles; the shape equation and boundary conditions of open lipid vesicles with free edges as well as vesicles with lipid domains, and the adhesions between a vesicle and a substrate or another vesicle are fully investigated. A cell membrane is simplified as a composite shell of lipid bilayer and membrane skeleton, which is a little similar to the solid shell. The equations to describe the in-plane strains and shapes of cell membranes are obtained. It is found that the membrane skeleton enhances highly the mechanical stability of cell membranes. Thirdly, the application and availability of the elastic theory of low-dimensional continua in nano-structures, including graphene and carbon nanotubes, are discussed. A revised Lenosky lattice model is proposed based on the local density approximation. Its continuum form up to the second order terms of curvatures and strains is the same as the free energy of 2D solid shells. The intrinsic roughening of graphene and several typical mechanical properties of carbon nanotubes are revisited and investigated based on this continuum form. It is possible to avoid introducing the controversial concepts, the Young's modulus and thickness of graphene and single-walled carbon nanotubes, with this continuum form.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000255548400002
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/5555
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

Files in This Item:
File Name/ File Size Content Type Version Access License
Elastic theory of low-dimensional continua and its applications in bio- and nano-structures.pdf(611KB)----开放获取View 联系获取全文

Recommended Citation:
Tu, Z. C.,Ou-Yang, Z. C.. Elastic-theory of low-dimensional continua and its applications in bio- and nano-structures[J]. JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE,2008,5(4):422-448.
Service
 Recommend this item
 Sava as my favorate item
 Show this item's statistics
 Export Endnote File
Google Scholar
 Similar articles in Google Scholar
 [Tu, Z. C.]'s Articles
 [Ou-Yang, Z. C.]'s Articles
CSDL cross search
 Similar articles in CSDL Cross Search
 [Tu, Z. C.]‘s Articles
 [Ou-Yang, Z. C.]‘s Articles
Related Copyright Policies
Null
Social Bookmarking
  Add to CiteULike  Add to Connotea  Add to Del.icio.us  Add to Digg  Add to Reddit 
文件名: Elastic theory of low-dimensional continua and its applications in bio- and nano-structures.pdf
格式: Adobe PDF
此文件暂不支持浏览
所有评论 (0)
暂无评论
 
评注功能仅针对注册用户开放,请您登录
您对该条目有什么异议,请填写以下表单,管理员会尽快联系您。
内 容:
Email:  *
单位:
验证码:   刷新
您在IR的使用过程中有什么好的想法或者建议可以反馈给我们。
标 题:
 *
内 容:
Email:  *
验证码:   刷新

Items in IR are protected by copyright, with all rights reserved, unless otherwise indicated.

 

 

Valid XHTML 1.0!
Copyright © 2007-2017  中国科学院理论物理研究所 - Feedback
Powered by CSpace