Rolling structure from bilayer nanofilm by mismatch

doi:10.1088/1674-1056/ace032

中国物理B ›› 2023, Vol. 32 ›› Issue (12): 126201-126201.doi: 10.1088/1674-1056/ace032

Rolling structure from bilayer nanofilm by mismatch

Jian-Gang Li(李建刚)^1,†, Xiao-Pi Geng(耿小丕)², Qian-Nan Gao(高倩男)², Jun Zhu(朱俊)³, Zhi-Xiang Gao(高志翔)¹, and Hong-Wei Zhu(朱弘伟)¹

1 School of Physics and Electronic Science, Shanxi Datong University & Shanxi Province Key Laboratory of Microstructure Electromagnetic Functional Materials, Shanxi Datong University, Datong 037009, China;
2 Department of Mathematics and Physics, Hebei Petroleum University of Technology, Chengde 067000, China;
3 School of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China

收稿日期:2023-02-13 修回日期:2023-06-02 接受日期:2023-06-21 出版日期:2023-11-14 发布日期:2023-11-30
通讯作者: Jian-Gang Li E-mail:Lijiangang@sxdtdx.edu.cn,Lijiangang1127@163.com
基金资助:
Project supported by the Natural Science Foundation of Shanxi Province, China (Grant No.201901D111316), the National Natural Science Foundation of China (Grant No.11874245), the Teaching Reform and Innovation Pproject of Colleges and Universities in Shanxi Province, China (Grant No.J2021508), and the Natural Science Foundation of Inner Mongolia Autonomous Region, China (Grant No.2020MS06007).

Rolling structure from bilayer nanofilm by mismatch

Jian-Gang Li(李建刚)^1,†, Xiao-Pi Geng(耿小丕)², Qian-Nan Gao(高倩男)², Jun Zhu(朱俊)³, Zhi-Xiang Gao(高志翔)¹, and Hong-Wei Zhu(朱弘伟)¹

1 School of Physics and Electronic Science, Shanxi Datong University & Shanxi Province Key Laboratory of Microstructure Electromagnetic Functional Materials, Shanxi Datong University, Datong 037009, China;
2 Department of Mathematics and Physics, Hebei Petroleum University of Technology, Chengde 067000, China;
3 School of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China

Received:2023-02-13 Revised:2023-06-02 Accepted:2023-06-21 Online:2023-11-14 Published:2023-11-30
Contact: Jian-Gang Li E-mail:Lijiangang@sxdtdx.edu.cn,Lijiangang1127@163.com
Supported by:
Project supported by the Natural Science Foundation of Shanxi Province, China (Grant No.201901D111316), the National Natural Science Foundation of China (Grant No.11874245), the Teaching Reform and Innovation Pproject of Colleges and Universities in Shanxi Province, China (Grant No.J2021508), and the Natural Science Foundation of Inner Mongolia Autonomous Region, China (Grant No.2020MS06007).

摘要/Abstract

摘要： A continuum theoretical scheme for self-rolling nanotubes from bilayers by mismatch is obtained by considering surface elasticity, surface stress, and symmetry lowering effects. For an ultrathin nanofilm with only several nanometers in thickness, isotropic mismatch, and isotropic surface stress usually induce anisotropic rolling behavior. The isotropic Timoshenko formula should be modified anisotropically to explain the mechanical behavior of anisotropic rolling structure of nanotubes accurately. The nanofilm rolls up in tangential direction while remaining straight in cylindrical direction theoretically. Therefore, in this paper the anisotropic shape of nanotubes is taken into consideration. Along the cylindrical direction, although it maintains straight and its residual strain is uniform, the stress varies in the radial direction due to the Poisson's effect of tangential strain. The results of the current theory applied to Si-Si nanotube, InAs-GaAs nanotube, and InGaAs-Cr nanotube systems show good agreement with the experimental data. Beside the surface elasticity effect and surface stress effect, the symmetry breaking and the anisotropic rolling structure are of great importance in theoretically describing the mechanical behavior of rolling-up of nanotubes.

关键词: nanofilms, nanotubes, surface effects, self rolling

Abstract: A continuum theoretical scheme for self-rolling nanotubes from bilayers by mismatch is obtained by considering surface elasticity, surface stress, and symmetry lowering effects. For an ultrathin nanofilm with only several nanometers in thickness, isotropic mismatch, and isotropic surface stress usually induce anisotropic rolling behavior. The isotropic Timoshenko formula should be modified anisotropically to explain the mechanical behavior of anisotropic rolling structure of nanotubes accurately. The nanofilm rolls up in tangential direction while remaining straight in cylindrical direction theoretically. Therefore, in this paper the anisotropic shape of nanotubes is taken into consideration. Along the cylindrical direction, although it maintains straight and its residual strain is uniform, the stress varies in the radial direction due to the Poisson's effect of tangential strain. The results of the current theory applied to Si-Si nanotube, InAs-GaAs nanotube, and InGaAs-Cr nanotube systems show good agreement with the experimental data. Beside the surface elasticity effect and surface stress effect, the symmetry breaking and the anisotropic rolling structure are of great importance in theoretically describing the mechanical behavior of rolling-up of nanotubes.

Key words: nanofilms, nanotubes, surface effects, self rolling

中图分类号: (Mechanical properties of solids)

62.20.-x

62.20.D- (Elasticity) 68.35.Gy (Mechanical properties; surface strains) 81.40.Jj (Elasticity and anelasticity, stress-strain relations)

Jian-Gang Li(李建刚), Xiao-Pi Geng(耿小丕), Qian-Nan Gao(高倩男), Jun Zhu(朱俊), Zhi-Xiang Gao(高志翔), and Hong-Wei Zhu(朱弘伟). Rolling structure from bilayer nanofilm by mismatch[J]. 中国物理B, 2023, 32(12): 126201-126201.

Jian-Gang Li(李建刚), Xiao-Pi Geng(耿小丕), Qian-Nan Gao(高倩男), Jun Zhu(朱俊), Zhi-Xiang Gao(高志翔), and Hong-Wei Zhu(朱弘伟). Rolling structure from bilayer nanofilm by mismatch[J]. Chin. Phys. B, 2023, 32(12): 126201-126201.

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Rolling structure from bilayer nanofilm by mismatch

Rolling structure from bilayer nanofilm by mismatch

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