摘要：基于Takayanagi两相模型和脆韧转变方程，建立了复合材料模量Ec与改性剂模量Ed、改性剂含量φ、改性剂粒径d和粒子间距ID等相关参数之间的关系，这些参数决定单相改性剂粒子增韧复合材料的刚度和韧性。利用该关系可定量研究临界脆韧转变点处复合材料模量对Ed、φ、d和ID的依赖，从而通过优化这些参数为设计刚韧平衡的复合材料提供理论指导。结果表明，较低的临界粒子间距IDc会导致橡胶或弹性体增韧聚合物复合材料的刚度大幅损失，这也是高抗冲聚丙烯（HIPP）复合材料难以兼具高刚度的主要原因。

Abstract：Based on Takayanagi's two-phase model and the brittle-ductile transition equations, we established a relation between the composite modulus Ec and related parameters including modifier modulus Ed, modifier content φ, modifier particle size d and interparticle distance ID, which determined the stiffness and toughness of the composite toughened with one phase modifier particle. From this relation, we can quantitatively study how the composite modulus depends on Ed, φ, d, and ID at the critical brittle-ductile transition point, and thereby can give the theoretic guidance for designing the composite with balanced toughness and rigidity by optimizing these parameters. The results show that lower critical interparticle distance (IDc) leads to a great loss of the stiffness for rubber or elastomer toughened polymer composites. This is a main reason that the high impact polypropylene (HIPP) composites with high stiffness is more difficult to be obtained.

论文链接：https://doi.org/10.1016/j.polymer.2019.03.004