Dynamics Analysis for Polymer-fiber Composites Based on Shear-ellipsoidal Extensional Force Field

Abstract

Abstract. An orientation distribution function is applied to describe the orientation distribution of polymer-fibers composites in shear-ellipsoidal extensional flow. And a mathematical model is established to simulate orientation distribution in this flow. Furthermore, the analytical solutions of differential equations on plant fibers orientation can be acquired in complex flow field. Therefore, analytical solution of differential equation on plant fiber orientation distribution is obtained.