Stress-Strain Relationships in Yarns Subjected to Rapid Impact Loading

The behavior of an infinitely long flexible filament after transverse impact is treated theoretically. The filament is assumed to have a tension-strain curve which is always concave downwards and to have no short time creep or stress relaxation effects. Under most conditions the impact initiates a variable strain that propagates down the filament between an "elastic wave" front and a "plastic wave" front. A transverse wave, shaped like an inverted "V," then travels in the constant strain region behind the plastic wave front. Under special conditions the transverse wave front may propagate faster than the plastic wave front, but the shape of the transverse wave remains the same. The theory for both cases is worked out in detail and some illustrative examples given.