Method for determining random distribution carbon nano tube network rigidity thresholds
A technology of carbon nanotubes and random distribution, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as huge amount of calculation, inability to quickly apply, consuming calculation time and resources, etc., to save computing resources, Facilitate large-scale calculations and reduce the amount of calculations
Active Publication Date: 2015-04-08
BEIHANG UNIV
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However, these methods are computationally intensive, consume a lot of computing time and resources, and cannot be quickly applied to engineering practice. Therefore, it is necessary to develop a new method that can quickly predict the stiffness threshold of carbon nanotube networks and guide experimental research and production applications.
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[0040] The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.
[0041] Such as figure 1 Shown, the specific implementation steps of the present invention are as follows:
[0042] 1. Establish a periodic geometric model of the carbon nanotube network:
[0043] Select the model according to the composition of the network: a two-dimensional model is used for a layered planar network, and a three-dimensional model is used for a blocky spatial network; figure 2 As shown, build a periodic geometric model:
[0044] a) Planar network (two-dimensional model):
[0045] Such as figure 2 As shown in (a), the length and width are L x , L y In the rectangular area of , the length of the random distribution is l CNTThe position and orientation of the carbon nanotubes are determined by the coordinates (X, Y) of the midpoint of the carbon nanotubes and the angle θ between the carbon nanotubes and the X-axis direc...
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The invention provides a method for determining random distribution carbon nano tube network rigidity thresholds. The method comprises the steps of (1) establishing a random distribution carbon nano tube network periodic geometric model, and establishing parameters describing geometric topological relation of carbon nano tubes in the network model, that is, the stability; (2) changing the number of the carbon nano tubes under given carbon nano tube geometric parameters to change the network density and calculating the network stability under different densities; (3) determining the network rigidity threshold according to the variation trend of the stability along with the network density. By the aid of the method, the network rigidity threshold is determined through the geometric topological relation among the carbon nano tubes, and the method has the advantages of being capable of guiding experimental studies and production applications of the carbon nano tube network, good for rapid prediction of rigidity thresholds of the carbon nano tube network, capable of reducing the calculation scale and cost through a computational mechanic method, adaptable to development of advanced nano materials and provided with important engineering application values.
Description
technical field [0001] The invention belongs to the technical field of design and analysis of advanced nanomaterials, and is a method for determining the stiffness threshold of a randomly distributed carbon nanotube network through geometric topology analysis, and is suitable for guiding the experimental research and production application of the carbon nanotube network, such as in nanofiltration membranes and carbon nanotube composites. Background technique [0002] As a new type of synthetic carbon microstructure, carbon nanotubes have excellent mechanical and physical properties. Their Young's modulus is as high as 1TPa, their tensile strength exceeds 100GPa, and their elongation at break reaches 15% to 30%, far exceeding Common fiber materials, in addition, carbon nanotubes have excellent electrical properties, extremely high thermal conductivity, good thermal and chemical stability, high specific surface area and low density, etc., which make them have various applicati...
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Inventor 陈玉丽潘飞刘彬王升涛张建宇
Owner BEIHANG UNIV