Modeling the effective elastic properties of materials pressed from a unidirectional hexagonal fiber strand

Abstract

The paper studies the interrelation between the effective elastic properties and the size of contact areas in the unit cell in modeling a unidirectional hexagonal fiber strand under isostatic and uniaxial pressing in a plastic flow. For a range of relative densities (0.907–1), it is shown that effective Young’s modulus and Poisson’s ratio correlate well with the integral projection of the contact areas relative to the corresponding cell size. For pore channels with cross-sectional shapes close to a three-beam hypocycloid with unequal beams, the elastic properties in the plane perpendicular to the fiber axis are anisotropic because the cross-sectional projections of the pore channel have different sizes.