A fibre bulk of completely uniform density can hardly be prepared as the sample for the compression-recovery test and this locally nonuniform packing affects more or less on its compressionrecovery behavior. So the authors considered the effect mathematically in the cases (1)_??_(3):
(1) Assuming there are many thin layers of density δ_??_ in a bulk, δ_??_ is constant throughout in each layer, but some layers have greater density than the others.
(2) Dividing the bulk into many thin pillars of density δ_??_, δ_??_ is constant throughout in each pillar but in some cases δ_??_ can be different.
(3) Combined cases (1) and (2).
The conclusion is as follows;
The compression-recovery of a fibre bulk can be expressed by an experimental relation;
t(
p+
c)
β=
k, whether the bulk is uniform or nonuniform. Here
t is the specific thickness of the bulk under the pressure
p;
c, β and
k are constants. When the bulk grows less uniform,
t becomes smaller for the smaller pressures and becomes larger for the larger pressures. β remains constant throughout the changes although the value of
c and
k vary. These considerations are adeguate to explain the observed behavior satisfactory.
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