N-层涂层夹杂体复合材料有效模量显示表达

EXPLICIT EXPRESSION OF THE EFFECTIVE MODULI OF N-LAYERED INCLUSION BASED COMPOSITES

利用 Green函数及积分方程技术 ,在夹杂应变均匀的近似假定下 ,将 Hill界面条件应用于整个二相体内 ,从而得到一种可以预报任意椭球夹杂体复合材料有效模量的广义自洽 Mori- Tanaka方法。采用一种逐步渐进的均匀化技术将该模型推广至 N层涂层夹杂问题 ,得到了 N层涂层夹杂体复合材料的显式表达。与有的实验和理论结果比较表明 ,本文模型准确可靠 ,便于应用。同时本文还证实 ,采用夹杂均匀应变假定并利用 Hill界面条件于两相体内可导出 Mori- Tanaka平均场近似。

The weak point of the generalized self consistent method(GSCM) is that its solution for the effective shear moduli cannot be expressed explicitly and is inconvenient to applications. In this paper, a generalized self consistent Mori Tanaka method(GSCMT) was developed by means of integral equation technique and Hill′s interfacial operator theory, which can be used for predicting the effective moduli of a composite with ellipsoidal inclusions. Furthermore, the present GSCMTM can be easily extended to multiphase and anisotropic inclusion problem. Based upon an step by step homogenization technique, the explicit form of solutions for the effective moduli of N layered coated inclusion based composites was obtained. A compassion with the existing theoretical and experimental results demonstrates that the present scheme is satisfactory. In addition, incorporating the assumption that the strain in the inclusion is uniform into Hill′s interfacial condition can lead to Mori Tanaka average field approximation was discovered in this paper.