Abstract The present study deals with a new micromechanical modeling of the thermal conductivity of multi-coated inclusion-reinforced composites. The proposed approach has been developed in the general frame of anisotropic thermal behavior per phase and arbitrary ellipsoidal inclusions. Based on the Green's function technique, a new formulation of the problem of multi-coated inclusion is proposed. This formulation consists in constructing a system of integral equations, each associated to the thermal conductivity of each coating and the reference medium. Thanks to the concept of interior- and exterior-point Eshelby's conduction tensors, the exact solution of the problem of multicoated inclusion is obtained. Analytical expressions of the intensity in each phase and the effective thermal conductivity of the composite, through homogenizations schemes such as Generalized self-consistent and Mori-Tanaka models are provided. Results of the present model are successfully compared with those issued from both analytical models and finite elements methods for composites with doubly coated inclusions. Moreover, the developed micromechanical model has been applied to a three phase composite materials in order to analyze combined effects of the aspect ratio and the volume fraction of the ellipsoidal inclusions, the anisotropy of the thermal conductivity of interphase, the thermal conductivity contrast between local phases on the predicted effective thermal conductivity.

中文翻译：

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用于复合材料各向异性热导率的新型精确多层椭球夹杂模型

摘要 本研究涉及多涂层夹杂物增强复合材料热导率的新微观力学模型。所提出的方法是在每个相的各向异性热行为和任意椭圆体夹杂物的一般框架中开发的。基于格林函数技术，提出了多层夹杂问题的新表述。该公式包括构建一个积分方程系统，每个方程都与每个涂层和参考介质的热导率相关。由于内点和外点Eshelby传导张量的概念，得到了多层夹杂问题的精确解。各相强度和复合材料有效导热系数的解析表达式，通过同质化方案，例如提供了广义自洽和 Mori-Tanaka 模型。本模型的结果与双涂层夹杂物复合材料的分析模型和有限元方法得到的结果进行了成功的比较。此外，开发的微观力学模型已应用于三相复合材料，以分析椭圆形夹杂物的纵横比和体积分数的综合影响，相间热导率的各向异性，局部相之间的热导率对比关于预测的有效热导率。本模型的结果与双涂层夹杂物复合材料的分析模型和有限元方法得到的结果进行了成功的比较。此外，开发的微观力学模型已应用于三相复合材料，以分析椭圆形夹杂物的纵横比和体积分数的综合影响，相间热导率的各向异性，局部相之间的热导率对比关于预测的有效热导率。本模型的结果与双涂层夹杂物复合材料的分析模型和有限元方法得到的结果进行了成功的比较。此外，开发的微观力学模型已应用于三相复合材料，以分析椭圆形夹杂物的纵横比和体积分数的综合影响，相间热导率的各向异性，局部相之间的热导率对比关于预测的有效热导率。