On the elastic rod models for mechanical tests of one-dimensional nanostructures under transverse loads

2020 ◽  
Vol 128 (16) ◽  
pp. 164303
Author(s):  
Shijun Wang ◽  
Zhiping Xu
2015 ◽  
Vol 19 (6) ◽  
pp. 484-497 ◽  
Author(s):  
Chuang Han ◽  
Siqi Liu ◽  
Zi-Rong Tang ◽  
Yi-Jun Xu

Author(s):  
Dominic Vella ◽  
Emmanuel du Pontavice ◽  
Cameron L. Hall ◽  
Alain Goriely

Spherical neodymium–iron–boron magnets are permanent magnets that can be assembled into a variety of structures owing to their high magnetic strength. A one-dimensional chain of these magnets responds to mechanical loadings in a manner reminiscent of an elastic rod. We investigate the macroscopic mechanical properties of assemblies of ferromagnetic spheres by considering chains, rings and chiral cylinders of magnets. Based on energy estimates and simple experiments, we introduce an effective magnetic bending stiffness for a chain of magnets and show that, used in conjunction with classic results for elastic rods, it provides excellent estimates for the buckling and vibration dynamics of magnetic chains. We then use this estimate to understand the dynamic self-assembly of a cylinder from an initially straight chain of magnets.


2014 ◽  
Vol 250 ◽  
pp. 148-156 ◽  
Author(s):  
Xiaomin Guo ◽  
Xiangting Dong ◽  
Jinxian Wang ◽  
Wensheng Yu ◽  
Guixia Liu

2010 ◽  
Vol 13 (7) ◽  
pp. B69 ◽  
Author(s):  
Christiane de Arruda Rodrigues ◽  
Norma R. de Tacconi ◽  
Wilaiwan Chanmanee ◽  
Krishnan Rajeshwar

2016 ◽  
Vol 120 (38) ◽  
pp. 21730-21739 ◽  
Author(s):  
Paden B. Roder ◽  
Sandeep Manandhar ◽  
Arun Devaraj ◽  
Daniel E. Perea ◽  
E. James Davis ◽  
...  

Author(s):  
Weiqiang Ding ◽  
Lorenzo Calabri ◽  
Kevin M. Kohlhaas ◽  
Xinqi Chen ◽  
Rodney S. Ruoff

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