We prepared carbon fiber (CF) reinforced polycarbonates (CFR-PC) by co-rotating twin screw extruder and injection molding. We simulated the orientational morphology of CFR-PC by inverse calculation from the measured transient stress curve using 8 mm disk rotational rheometer. The shear stress evolution was expressed by a function of the Fredholm integral of the first kind; total stress was expressed by a linear combination contributed from a stress at each orientation state. We employed an extended White–Metzner model with Dinh–Armstrong flow-fiber coupling term as a constitutive equation for the evaluation of stress at each orientation state. The probability density of each orientation state was determined by the Tikhonov regularization method from the measured stress overshoot. Finally, the orientation distribution functions (ODFs) of CFR-PC were determined by maximum entropy method from the determined probability density of orientation state. For the CFR-PCs, the simulated morphology by the ODF was well consistent with the morphology obtained by optical microscopy.

我们通过同向旋转双螺杆挤出机和注塑成型制备了碳纤维（CF）增强聚碳酸酯（CFR-PC）。我们通过使用 8 mm 圆盘旋转流变仪从测量的瞬态应力曲线进行逆计算来模拟 CFR-PC 的取向形态。剪应力演化由第一类 Fredholm 积分的函数表示；总应力由每个取向状态下的应力贡献的线性组合表示。我们采用了扩展的 White-Metzner 模型，其中 Dinh-Armstrong 流动纤维耦合项作为本构方程来评估每个取向状态下的应力。每个取向状态的概率密度是通过 Tikhonov 正则化方法从测量的应力过冲确定的。最后，CFR-PC的取向分布函数（ODFs）由确定的取向状态概率密度通过最大熵法确定。对于 CFR-PC，ODF 模拟的形态与光学显微镜获得的形态非常一致。