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经典广义自洽模型的最大不足是需要确定相材料的位移及应变场,这一过程十分繁杂,而且最后得到的有效剪切模量无法显式表达,难以应用.该文摈弃这一经典做法,而从广义自洽模型的应变等价条件出发,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涂层夹杂体复合材料有效模量的广义自治Mori-Tanaka模型.与已有的实验及理论结果的比较表明,该模型准确可靠,而且有效体积和剪切模量均能显式表达.同时证实,以上的Hill界面条件应用于二相体内相当于Mori-Tanaka平均场近似.
The biggest limitation of the classical generalized self-consistent model is that it is necessary to determine the displacement and strain field of the phase material. This process is very complicated, and the effective shear modulus finally obtained can not be expressed explicitly and is difficult to be applied. This article discards this classical approach, and from the strain equivalence condition of the generalized self-consistent model, under the approximate assumption of inclusion strain uniformity, the Hill interface condition is applied to the entire two-phase body to obtain a predictable coating inclusion Generalized Autonomous Mori-Tanaka Model for Effective Modulus of Bulk Composites. Compared with the existing experimental and theoretical results, the model is accurate and reliable, and both the effective volume and the shear modulus can be expressed explicitly. At the same time, it is confirmed that the above Hill interface condition is applied to the Mori-Tanaka mean field approximation in two-phase body.