The critical lengtn and the breaking strength of staple yarn of fibers of unequal length are theoretically and experimentally studied.
Then, the critical length is gained from the following equation:
where, μ; the coefficient of friction between the fibers
r0: the mean radius of curvature of helix of fiber
C; thickness of the fiber θ; twist angle in the surface layer
R; the radius of the thread
La; the mean fiber length in the raw stock diagram
lc; critical length
And, the breaking strength of the yarn of unequal fiber length is;
where,
T0; breaking strength of fiber σ; number of projecting fibers at cross section of the thread
b; number of fiber at cross section of the thread
f(x); the length of the fiber in raw stock diagram θ
0; mean twist angle (2θ/3)
Furthermore, theoretically the relation between the shape of raw stock diagram and the breaking strength of the yarn was studied. In experiments with viscose staple fibers, the experimental values of breaking strength of the yarn fitted well to the calculation.
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