Modeling of a two-stage draw process

In our earlier work (S.E. Bechtel et al., J Appl Mech 2000;67(1):197–206) we created a model for slip of linearly elastic belts on pulleys, and adapted our model to isothermal draw of fibers on rollers (submitted for publication). Here, we: (i) incorporate temperature dependence, (ii) extend the constitutive characterization to piecewise linearly elastic–plastic fibers to capture the softening behavior of as-spun fibers, and (iii) assemble governing equations for fibers on rollers and in freespans, together with matching conditions, to produce a comprehensive model for a two-stage, non-isothermal industrial draw process. The model is then employed to simulate three representative drawlines.