Prediction of elastic properties for curved fiber polymer composites

Abstract The objective of this article is to study the effect of fiber curvature on the elastic properties of a long‐fiber composite. The study was carried out using a unit cell homogenization approach and micromechanical modeling. In the first approach, a unit cell with a fiber bundle was defined and used in the analysis. Appropriate boundary conditions were prescribed to extract the elastic stiffness components. The second approach made use of the Eshelby‐Mori‐Tanaka model to compute the stiffness of the aligned fiber composite. Fiber curvature was then accounted for through the variation of fiber orientation within a prescribed range that corresponds to a given degree of fiber curvature. It was found that curved fibers significantly affect the composite properties since they lead to a significant stiffness reduction in the longitudinal direction while relatively small increase in stiffness is achieved in the transverse direction in the plane containing the fiber tow. POLYM. COMPOS., 2008. Published 2008 Society of Plastics Engineers