【摘要】 基于广义自洽法和平均场理论，推导了包含界面相的纤维复合材料有效反平面剪切模量的封闭解析解．作为界面相模型，该解答被用于研究纳米复合材料的有效反平面剪切模量．在界面相模型中令界面相剪切模量为界面模型中界面剪切模量与界面相厚度之比，当界面相厚度趋于零时，界面相模型的解答可解析退化为界面模型的解答．数值计算时，取界面相厚度充分小即可在任意精度下由界面相模型得到界面模型的结果．以含纳米孔洞的金属铝为例，比较了界面相模型和界面模型计算结果的差异．结果表明，孔洞半径越小、孔洞体积分数越大，两个模型结果差异越显著．更多还原

【Abstract】 Based on the generalized self-consistent method and the average-field theory, the closed-form solution of the effective antiplane shear modulus of fiber reinforced composites with interphase is derived. The interphase model is used to investigate the effective antiplane shear moduli of nano-fiber composites. Letting the interphase shear moduli be the ratio of the interface shear modulus in the interface model to the interphase thickness, the present interphase model can be analytically degraded to the interface model when the interphase thickness tends to zero. In the numerical calculation, the interphase model can generate the results of the interface model with arbitrary precision as long as the interphase thickness is small enough. Taking the aluminium containing nano voids as an example, the results obtained from the interface model and from the interphase model are compared. It is found that a smaller void radius and a higher void volume fraction result in more significant difference between the two models.更多还原