Bending analysis of carbon nanotubes using nonlocal continuum models

24th Condensed Matter Days National Conference

Patra, P.K.^1

Centre for Science Education, North-Eastern Hill University, Shillong

793022, India^1

关键词: Beam deflection;    Bending analysis;    Bending curvature;    Classical theory;    Continuum elastic theory;    Material microstructures;    Nonlinear relations;    Nonlocal continuums;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/765/1/012006/pdf
DOI  :  10.1088/1742-6596/765/1/012006

来源: IOP

【 摘 要 】

Experiments show that a CNT can withstand large bending curvature reversibly. As the deflection is severe for large varying forces, the elementary elastic theory cannot be applied. Again, the classical (or local) continuum elastic theory is questionable at very small length scale (less than 100 nm) because the material microstructure, such as lattice spacing between individual atoms, become important. For studying mechanical properties of carbon nanotubes (CNTs) of small length, the classical theory can be modified by using nonlocal continuum models proposed by Eringen. In the present work, static analysis of CNT is presented using a nonlinear relation between the bending curvature and the beam deflection and the nonlocal continuum mechanics models. It is shown that there is an upper bound on the load on a cantilevered CNT.