Role of friction in the mechanics of nonbonded fibrous materials.

Discrete element simulations are employed to study the influence of static friction on the mechanical response of assemblies of nonbonded semiflexible fibers during cycles of isostatic compressions and releases. Hysteresis is evidenced during the cycles and is related to the sensitivity of the frictional contacts on normal forces. Nonzero frictions are shown to decrease both the packing density and caging number but do not affect the critical exponents that characterize the pressure and bulk and shear moduli. Assemblies of frictionless fibers are found fragile in the sense that they resist isostatic compressions but have a zero shear modulus at all densities.

Discrete modeling of the mechanics of entangled materials.

We employ a discrete computational model to study the entanglement transition of non-cross-linked semiflexible fibers during isostatic compressions. We determine, as a function of the fiber aspect ratio, packing densities and caging numbers, i.e., the density and number of contacts per fiber at the entanglement transition. The caging number is found to be 8 for short fibers and to drop down to 4 for longer fibers. Compressions beyond the entanglement transition allow us to determine, for these networks that deform primarily by bending, the scaling exponents of the pressure and of the bulk modulus (=3), as well as of the number of contacts per fiber (=1).