Stress-strain relationships in yarns subjected to rapid impact loading: 5. Wave propagation in long textile yarns impacted transversely

Abstract

T he behavior of an infi nitely long flexib le fil a men t after transverse impact is treated theoret.icall y. The fil a ment is ass u med to have a tension-strain curve that is always co ncave dow nward, and to have no short-ti me creep or stress-rei fixation effects. Under most cond itions the impact in itiates a varia bl e strain t hat prop agates down the fil a ment between an "elasLic wave" fro nt a nd a " plastic wave" front. A tra nsverse wave, shaped li ke an inverLed V, then travels in t he co nstan t-strain region behin d the plastic-wave front. Under specia l condi tio ns t he transverse-wave front may propagate faster than the plastic-wave front, b ut the sh ape of t he tra nsverse wave r ema ins t he sam e. T he theory for both cases is worked out in d etail , an d some ill ustrative examples arc given.