基于含夹杂的弹性体内部应变场积分方程，推导了三相复合材料中夹杂的变形协调张量。与传统的Mori-Tanaka方法（M-T方法）相比，此变形协调张量从细观力学角度考虑了复合材料夹杂的分布特征和相互作用，得到了预测复合材料有效弹性性能的修正M-T法，再结合两步均匀化模型得到预测混杂纤维复合材料有效性能的方法。采用损伤力学理论，建立了混杂纤维复合材料拉伸强度的预测模型。采用该方法对文献中椰壳纤维/玻璃纤维增强酚醛树脂复合材料有效弹性性能和抗拉强度进行预测，并将预测结果与现有文献的试验值进行对比。结果表明：修正M-T方法较传统M-T具有更好的预测能力，其预测结果和试验值的误差基本保持在10.485%以内。用该方法定量分析了椰壳纤维和玻璃纤维掺量对混杂纤维复合材料有效弹性性能和拉伸强度的影响。混杂纤维复合材料有效弹性性能和抗拉强度随玻璃纤维的增大而增大。

Based on the integral equations of internal strain fields in elastic bodies containing inclusions, the deformation coordination tensor of inclusions in three-phase composites is derived. Compared with the traditional Mori-Tanaka method (M-T method), the deformation coordination tensor takes into account the distribution characteristics and interactions of inclusions from the perspective of micromechanics, leading to a modified M-T method for predicting the effective elastic properties of composites. Combining with the two-step homogenization model, a method for predicting the effective performance of hybrid fiber composites is derived. Additionally, a prediction model for the tensile strength of hybrid fiber composites is established based on the damage mechanics theory. This method is used to predict the effective elastic properties and tensile strength for coconut husk fiber/glass fiber reinforced phenolic resin composites reported in the literature, and compared the predicted results with experimental data. The results show that the proposed modified M-T method has better predictive ability than the traditional M-T method, with the predicted results and experimental data differing by less than 10.485%. The method is used to quantitatively analyze the effect of the content of coconut husk fiber and glass fiber on the effective elastic properties and tensile strength of hybrid fiber composites. The results show that the effective elastic properties and tensile strength of hybrid fiber composites increase with the increase of glass fiber content.