A new hybrid homogenization approach is proposed for simulating the homogenized and local response of unidirectional fuzzy fiber nanocomposites undergoing inelastic deformations. Fuzzy fiber composites are hierarchical reinforcing structures where the fibers coated with radially aligned carbon nanotubes (CNTs) are embedded in the matrix. In this spirit, the fuzzy fiber composites are modeled as a three-scale medium. At the microscale, the CNTs-reinforced matrix is homogenized as nanocomposite interphase (NCP) attached to the main fiber via the asymptotic expansion homogenization (AEH). At the mesoscale, an intermediate equivalent fiber that substitutes for the NCP and the main fiber is constructed using the composite cylinder assemblage (CCA) and the transformation field analysis (TFA) techniques. At the macroscale, homogenization of the equivalent fiber and the surrounding matrix is handled by AEH which yields the effective response of the whole fuzzy fiber composites. The new technique facilitates accurate and efficient studies of the inelastic deformation mechanisms of periodic fuzzy fiber arrays with single or multiple inclusions under biaxial and triaxial loading conditions, eliminating exhausting interphase mesh discretizations encountered in the classical full-field homogenization. An added advantage is that the proposed theory captures the fiber-fiber interaction neglected in the classical CCA-TFA, an issue that leads to the exceptionally stiff post-yielding stress-strain response common in the mean-field micromechanics approaches.

提出了一种新的混合均匀化方法，用于模拟经历非弹性变形的单向模糊纤维纳米复合材料的均匀化和局部响应。模糊纤维复合材料是分层增强结构，其中涂有径向排列的碳纳米管 (CNT) 的纤维嵌入基体中。本着这种精神，模糊纤维复合材料被建模为三尺度介质。在微观尺度上，碳纳米管增强基体通过渐近膨胀均质化 (AEH) 被均质化为纳米复合中间相 (NCP)。在中尺度上，使用复合圆柱组合 (CCA) 和转换场分析 (TFA) 技术构建了替代 NCP 和主纤维的中间等效纤维。在宏观层面，等效纤维和周围基体的均质化由 AEH 处理，从而产生整个模糊纤维复合材料的有效响应。新技术有助于在双轴和三轴加载条件下准确有效地研究具有单个或多个夹杂物的周期性模糊纤维阵列的非弹性变形机制，消除了经典全场均匀化中遇到的令人筋疲力尽的相间网格离散化。一个额外的优势是，所提出的理论捕获了经典 CCA-TFA 中忽略的纤维 - 纤维相互作用，这个问题导致了平均场微力学方法中常见的异常僵硬的屈服后应力 - 应变响应。