抄録
General formulae were derived for the estimation of the number of fiber-to-fiber contacts in fiber assemblies with arbitrary distributions of orientation and fiber length. The main result obtained was the mean number of contacts per unit volume of an assembly, nv given by
where I is as follows.
In the above equation, Ω is the density function of orientation, D the radius of the cross section of the fiber, and Lv the total fiber length per unit volume.
Special applications of the general result were reduced to the formulae presented by van Wyk and O. Kallmes.