Considering the prominent properties of nanocomposites, the closer their modeling is to reality, the more suitable it is for engineering applications. One of the steps that can be taken for this purpose is to include the waviness of the reinforcements in the study of nanocomposites. In this article, for the first time, the effects of the waviness of reinforcing nanotubes in spherical nanocomposites on the behavior of mechanical waves have been studied. Several different ideas, such as adopting random contact model, the excluded volume of two spherocylinders, microscopic images and experimental results, are used for modeling wavy nanotubes in spherical nanocomposites, each of which has its own characteristics. For modeling the spherical nanocomposite itself, three-dimensional elasticity theory in spherical coordinates is used. For several different cases, the results of the present models are compared and calibrated with the results of experimental tests, which adds to the attractiveness of the work. The influences of various parameters such as radius of spherical nanocomposite, waviness factor, nanotubes volume fraction and wave number on the results are also investigated. From the results of this article, the idea can come to mind that the effects of the waviness of the nanotubes cannot be ignored in some cases and should be included in the modeling, otherwise it will produce significant errors in the results.

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纳米管波纹度对球形纳米复合材料行为影响的研究

考虑到纳米复合材料的突出特性，其建模越接近现实，就越适合工程应用。为此目的可以采取的步骤之一是将增强材料的波纹度纳入纳米复合材料的研究中。在本文中，首次研究了球形纳米复合材料中增强纳米管的波纹度对机械波行为的影响。采用随机接触模型、两个球柱的排除体积、显微图像和实验结果等几种不同的想法来模拟球形纳米复合材料中的波状纳米管，每种想法都有自己的特点。为了对球形纳米复合材料本身进行建模，使用了球坐标中的三维弹性理论。对于几种不同的情况，将当前模型的结果与实验测试的结果进行比较和校准，这增加了工作的吸引力。还研究了球形纳米复合材料的半径、波纹度因子、纳米管体积分数和波数等各种参数对结果的影响。从本文的结果可以想到，在某些情况下，纳米管波纹度的影响不能忽略，应该纳入建模中，否则会在结果中产生明显的误差。