Elastic behavior of disclination dipole near nanotube with surface/interface effect

doi:10.1088/1674-1056/23/3/030202

中国物理B ›› 2014, Vol. 23 ›› Issue (3): 30202-030202.doi: 10.1088/1674-1056/23/3/030202

Elastic behavior of disclination dipole near nanotube with surface/interface effect

赵迎新^a, 曾鑫^a, 陈昌萍^b

a State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, China;
b College of Civil Engineering and Architecture, Xiamen University of Technology, Xiamen 361024, China

收稿日期:2013-05-08 修回日期:2013-07-18 出版日期:2014-03-15 发布日期:2014-03-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11172094 and 11172095), the Program for New Century Excellent Talents in University of Ministry of Education of China (Grant No. NCET-11-0122), and the Hunan Provincial Natural Science Foundation for Creative Research Groups, China (Grant No. 12JJ7001).

Elastic behavior of disclination dipole near nanotube with surface/interface effect

Zhao Ying-Xin (赵迎新)^a, Zeng Xin (曾鑫)^a, Chen Chang-Ping (陈昌萍)^b

a State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, China;
b College of Civil Engineering and Architecture, Xiamen University of Technology, Xiamen 361024, China

Received:2013-05-08 Revised:2013-07-18 Online:2014-03-15 Published:2014-03-15
Contact: Zhao Ying-Xin E-mail:zhaoyx565@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11172094 and 11172095), the Program for New Century Excellent Talents in University of Ministry of Education of China (Grant No. NCET-11-0122), and the Hunan Provincial Natural Science Foundation for Creative Research Groups, China (Grant No. 12JJ7001).

摘要/Abstract

摘要： In this paper, we present an analytical solution of the interaction of the nanotube (NT) with a wedge disclination dipole in nanotube-based composites. The corresponding boundary value problem is solved exactly by using complex potential functions. The explicit expression of the force exerted on disclination dipole is given by using the generalized Peach–Koehler formula. As a numerical illustration, both the equilibrium position and the stability of the disclination dipole are evaluated for different material combinations, relative thickness of an NT, surface/interface effects, and the features of the disclination dipole. The results show that as the thickness of the NT layer increases, the NT has a relatively major role in the force acting on the disclination dipole in the NT-based composite. The cooperative effect of surface/interface stresses and the NT becomes considerable as the increase of NT layer thickness. The equilibrium position may occur, even more than one, due to the influences of the surface/interface stress and the NT thickening. The influences of the surface/interface stresses and the thickness of the NT layer on the force are greatly dependent on the disclination angle.

关键词: nanotube-based composites, disclination dipole, nanotube thickness, surface/interface effect

Abstract: In this paper, we present an analytical solution of the interaction of the nanotube (NT) with a wedge disclination dipole in nanotube-based composites. The corresponding boundary value problem is solved exactly by using complex potential functions. The explicit expression of the force exerted on disclination dipole is given by using the generalized Peach–Koehler formula. As a numerical illustration, both the equilibrium position and the stability of the disclination dipole are evaluated for different material combinations, relative thickness of an NT, surface/interface effects, and the features of the disclination dipole. The results show that as the thickness of the NT layer increases, the NT has a relatively major role in the force acting on the disclination dipole in the NT-based composite. The cooperative effect of surface/interface stresses and the NT becomes considerable as the increase of NT layer thickness. The equilibrium position may occur, even more than one, due to the influences of the surface/interface stress and the NT thickening. The influences of the surface/interface stresses and the thickness of the NT layer on the force are greatly dependent on the disclination angle.

Key words: nanotube-based composites, disclination dipole, nanotube thickness, surface/interface effect

中图分类号: (Several complex variables and analytic spaces)

02.30.Fn

61.72.-y (Defects and impurities in crystals; microstructure) 68.35.Gy (Mechanical properties; surface strains) 61.46.Np (Structure of nanotubes (hollow nanowires))

赵迎新, 曾鑫, 陈昌萍. Elastic behavior of disclination dipole near nanotube with surface/interface effect[J]. 中国物理B, 2014, 23(3): 30202-030202.

Zhao Ying-Xin (赵迎新), Zeng Xin (曾鑫), Chen Chang-Ping (陈昌萍). Elastic behavior of disclination dipole near nanotube with surface/interface effect[J]. Chin. Phys. B, 2014, 23(3): 30202-030202.

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Elastic behavior of disclination dipole near nanotube with surface/interface effect

Elastic behavior of disclination dipole near nanotube with surface/interface effect

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