Modeling of the Effective Elastic Properties of Material Pressed from a Binder of Hexagonal Unidirectional Fibers.

Abstract

The interrelation of elastic properties with the sizes of contact areas of an elementary cell of the material obtained in modeling isostatic and closed-die pressing of a bunch of unidirectional hexagonal fibers in a plastic flow is considered. For a range of relative densities (0.907–1), it is shown that effective Young’s modulus and Poisson’s ratio in the plane perpendicular to the fiber axis correlate well with the total relative projection of the contact areas onto the axis perpendicular to the direction in which the modulus or ratio are determined. For pore channels with cross-sectional shapes close to a three-beam hypocycloid with unequal lengths of beams, the ani-sotropy of elastic properties is due to the differences in sizes of the cross-sectional projections of the pore channel.