The basic structural factors enabling the design of high-modulus and high-strength nanocomposites (polymer/carbon-nanotube) with mechanical characteristics analogous to the corresponding parameters of steel are studied in the framework of fractal analysis and percolation theory. The main factor is the formation in the polymer matrix of carbon-nanotube tows consisting of many of them with a structural fractal dimension close to Euclidean (close to three). Such tows have an elastic modulus close to the nominal value of a separate nanotube. The proposed procedure allows the limiting mechanical characteristics of nanocomposites to be determined.

中文翻译：

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设计高模量聚合物纤维和基于它们的纳米复合材料的理论基础

在分形分析和渗流理论的框架内研究了能够设计具有类似于钢的相应参数的机械特性的高模量和高强度纳米复合材料（聚合物/碳纳米管）的基本结构因素。主要因素是在聚合物基质中形成碳纳米管丝束，其中许多具有接近欧几里得（接近 3）的结构分形维数。这种丝束具有接近单独纳米管标称值的弹性模量。所提出的程序允许确定纳米复合材料的极限机械特性。