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Carbon nanotubes under internal pressure

机译:内压下的碳​​纳米管

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摘要

A considered application of carbon nanotubes is nanopiping in nanofluidic devices. The use of nanotubes for fluid transport requires large-diameter tubes that can sustain prescribed loading without failure. Two models of the stress-strain state of long multiwall carbon nanotubes, subjected to internal pressure, are described. Cylindrical nanotubes having a Russian doll structure have been considered. It is assumed that the deformations are linear elastic and negligible along the tube axis (in comparison with the radial deformations). This assumption is not restrictive for potential applications of nanotubes, where their deformations must he small and reversible. The distance between the layers is small in comparison to the radii of curvature of graphite layers. In the case of several carbon layers, a discrete model (DM) is proposed. The solutions of DM equations, with corresponding boundary conditions, determine the stresses between the layers, the forces in the layers, and the deformation of the layers. For the case of thick walls built of numerous carbon layers, a continuous model (CM) is proposed. The main CM equation is the Euler's differential equation with corresponding boundary conditions. Its solution defines the continuous distribution of the stresses and strains across the wall thickness of the tube.
机译:被认为是碳纳米管的应用是纳米流体装置中的纳米铅。用于流体输送的纳米管需要大直径的管,可以在没有发生故障的情况下维持规定的负载。描述了两种模型的长多壁碳纳米管的应力 - 应变状态,经受内部压力。已经考虑了具有俄罗斯娃娃结构的圆柱形纳米管。假设变形是线性弹性的并且沿管轴可忽略不计(与径向变形相比)。对于纳米管的潜在应用,这种假设并不限于纳米管的潜在应用,其中它们的变形必须小而可逆。与石墨层的曲率的半径相比,层之间的距离很小。在几种碳层的情况下,提出了一种离散模型(DM)。具有相应边界条件的DM方程的解,确定层之间的应力,层中的力,以及层的变形。对于由多个碳层构成的厚壁的情况,​​提出了连续型号(cm)。主CM方程是具有相应边界条件的欧拉的微分方程。其解决方案限定了管壁厚度的应力和应变的连续分布。

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