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.
The formation of internal boundaries in a unidirectional fiber strand during isostatic and uniaxial pressing in plastic state is studied. The process is modeled using the finite-element method (FEM). An ideal contact elastoplastic problem for a hexagonal fiber strand undergoing plane deformation is solved taking into account friction at the boundaries. For angles of 0°, 30°, 60°, and 90° between the normal to the contact area and the pressing direction, the contact area width, change in the contact area slope, and the radius vector of the cross-sectional boundary of the fiber inside the pore channel as functions of density are determined for the friction coefficient at the boundaries of fibers equal to 0 and 0.5.
UDC 539.4 Mode I and mode II stress intensity factors (SIFs) are determined for a material with parallel pore channels of Y-shaped cross-section with centers at nodes of a regular hexagonal grid and arms aligned with the sides of hexagons. Calculations are performed for a unit cell that includes halves of two adjacent pore channels with an arbitrary length ratio of the arms. The finite-element method is used. It is shown that the SIFs for an equal-arm Y-shaped pore channel depend on the fiber crosssectional radius of curvature. The range of lengths of periodic equal-arm starlike cracks in which they can be regarded as noninteracting is identified.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.