Exact solutions of bending deflection for single-walled BNNTs based on the classical Euler–Bernoulli beam theory

Nanotechnology Reviews

article

Dong Yawei¹  Zhang Yang¹  Yan Jianwei³ 

[1] School of Science, Nanjing University of Science and Technology;Department of Architecture and Civil Engineering, City University of Hong Kong;School of Civil Engineering and Architecture, East China Jiaotong University;National Experimental Teaching Demonstration Center of Civil Engineering, East China Jiaotong University

关键词: Euler–Bernoulli beam model;    boron nitride nanotube;    bending deflection;    material thickness;    scale effect;   

DOI  :  10.1515/ntrev-2020-0075

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

At the nanolevel, a classical continuum approach seems to be inapplicable to evaluate the mechanical behaviors of materials. With the introduction of scale parameter, the scale effect can be reasonably described by the modified continuum theory. For boron nitride nanotubes (BNNTs), the scale effect can be reflected by the curvature and the dangling bonds at both ends, mainly the former for a slender tube. This study aims to achieve a good capability of classical Euler–Bernoulli theory to directly predict the bending behaviors of single-walled BNNTs without introducing scale parameters. Elastic properties of BNNTs involving the scale effect have been first conducted by using an atomistic-continuum multiscale approach, which is directly constructed based on the atomic force field. The well-determined hexagonal boron nitride sheet is inherited in the present study of single-walled BNNTs which can be viewed as rolling up a boron nitride sheet into a seamless hollow cylinder. Euler–Bernoulli theory solution of bending deflection on the basis of the present thickness is found to be much closer to the atomistic-continuum simulation results than the commonly used interlayer space. Case studies with different tubular lengths, radii and constraints are investigated, and from which the yielded scattered scale parameters in modified continuum theories are discussed.

【 授权许可】

CC BY