繊維分散系のシミュレーション法の開発と応用(<小特集>数値計算と現実)

概要

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A particle simulation method is proposed for computing the dynamics of fiber dispersed system. In this method, a particle is modeled by using arrays of spheres. Considering the deformation of the particle, each pair of adjacent spheres is connected with three types of springs; stretch, bend, and twist. The motion of the particles in flow is followed by solving the translational and rotational equations of motion for each constituent sphere. The hydrodynamic interaction among fibers is considered by the mobility matrix for each fiber and the lubrication force between fibers. The method was well validated for the well-known motion of rodlike particle and fracture theory. The method was applied to predicting the rheological properties of fiber dispersed systems, fiber fracture phenomenon of the fiber reinforced polypropylene, the motion of fillers during an injection molding process of thermoplastics, and the motion of fibers in mixing sections of a single screw extruder.
日本応用数理学会の論文
2004-12-22