Semicrystalline
polymers of low glass transition temperature, such
as polyethylene (PE), can be either brittle or ductile depending
on their content of intercrystallite stress transmitterssuch
as tie molecules (TMs), chains that directly bridge the intercrystalline
amorphous layer. TM content will increase with increasing molecular
weight (M) or with the fraction of high-M chains in a disperse polymer and with decreasing intercrystallite
repeat spacing d, which can be manipulated through
thermal history and the incorporation of comonomer. The present work
examines the failure mode of model narrow-distribution linear PEs
(LPEs) of high crystallinity, where d is varied through
crystallization history (either quenching or slowly cooling), and
ethylene-butene copolymers (hydrogenated polybutadienes (hPBs)) of
moderate crystallinity, where d is limited by the
short-branch content. For each series (LPEs with different thermal
histories and quenched hPBs), a rather sharp brittle-to-ductile transition
(BDT) is observed with increasing M, at a value M
BDT. However, across the three series, the value
of M
BDT does not depend solely on the
value of d; indeed, a higher M is
required to achieve ductility in quenched samples of hPB than in LPE,
despite the much lower values of d for hPB. Consequently,
the calculated value of TM fraction at the BDT increases strongly
as crystallinity decreases, by a factor of ∼50 from slow-cooled
LPE to quenched hPB. This strong dependence is explained by considering
the influence of TMs on the brittle fracture stress (σb), with the BDT occurring when there are sufficient TMs for σb to exceed the yield stress (σ
y
), which is strongly dependent on crystallinity but independent
of TM content.