Abstract It is shown on the basis of the micromechanical tensile strength model of a polymer composite, that the strength of an interfacial region material in polymer–high modulus filler nanocomposites decreases as its thickness increases, which contradicts the case of adhesion between two polymers, in which the thickness of an interfacial region is linearly dependent on the degree of interfacial adhesion. A fractal model of phase interactions is used to estimate the threshold values of the nanocluster volume ratio of an epoxy polymer matrix and the metal nanoparticles of a filler, with the mechanical stress transfer from the polymer matrix to the filler being weakened upon reaching these values. It is shown that exceeding a threshold value of the filler volume ratio violates the aggregate stability of the filler and reduces the values of the dimensionless parameter of the micromechanical model, which characterizes the degree of interfacial adhesion. With a further increase in the filler volume ratio, the values of this parameter become negative, while the composite strength virtually does not increase.

中文翻译：

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环氧聚合物纳米复合材料界面区结构和力学特性的分形分析

摘要 基于聚合物复合材料的微机械拉伸强度模型表明，聚合物-高模量填料纳米复合材料中界面区域材料的强度随着其厚度的增加而降低，这与两种聚合物之间粘附的情况相反，在其中界面区域的厚度与界面粘合程度呈线性关系。相相互作用的分形模型用于估计环氧聚合物基体和填料金属纳米颗粒的纳米团簇体积比的阈值，达到这些值时，从聚合物基体到填料的机械应力传递减弱。结果表明，超过填料体积比的阈值会破坏填料的聚集稳定性，并降低表征界面粘附程度的微机械模型的无量纲参数值。随着填料体积比的进一步增加，该参数的值变为负值，而复合材料的强度实际上并没有增加。