For the simulation-based design of fiber melt spinning processes, the accurate modeling of the processed polymer with regard to its material behavior is crucial. In this work, we develop a high-speed elongational rheometer for Carreau-type materials, making use of process simulations and fiber diameter measurements. The procedure is based on a unified formulation of the fiber spinning model for all material types (Newtonian and non-Newtonian), whose material laws are strictly monotone in the strain rate. The parametrically described material law for the elongational viscosity implies a nonlinear optimization problem for the parameter identification, for which we propose an efficient, robust gradient-based method. The work can be understood as a proof of concept, a generalization to other, more complex materials is possible.

翻译：为实现基于仿真的纤维熔融纺丝工艺设计，准确表征加工聚合物的材料行为至关重要。本研究针对Carreau型材料开发了一种高速拉伸流变仪，利用工艺仿真与纤维直径测量数据。该方法基于所有材料类型（牛顿流体及非牛顿流体）纤维纺丝模型的统一表述，其材料本构在应变率下严格单调。采用参数化描述的拉伸粘度本构方程，引出了适用于参数识别的非线性优化问题，并提出了一种高效稳健的梯度求解方法。本工作可视为概念验证，未来可推广至其他更复杂的材料体系。