The asymmetric double cantilever beam fracture test was used to measur
e the critical energy release rate, or fracture toughness, G(c), of an
epoxy-polystyrene (PS) interface as a function of the grafting densit
y, Sigma, and degree of polymerization, N, of carboxylic acid terminat
ed deuterated polystyrene chains (dPS-COOH). The chain ends anchor to
the epoxy, and their tails penetrate into the PS homopolymer. Forward
recoil spectrometry (FRES) on the fracture surfaces provided a method
to determine the total Sigma as well as the mechanism of interface fai
lure. For N = 159 the grafted chains were too short to entangle and pu
ll out of the PS, leading to no enhancement in G(c) over that of a bar
e interface. When the chain length was increased to N = 412 and 535, t
here was sufficient stress transfer to initiate crazes in the PS that
break down by either disentanglement or scission of dPS-COOH chains in
the craze fibrils. For long, well-entangled chains of N = 688, 838, a
nd 1478 the chains broke near the epoxy-PS interface at low Sigma befo
re significant crazing of the PS occurs. A transition from chain sciss
ion to crazing occurred at Sigma(c) = 0.03 chains/nm(2) for all three
chain lengths, agreeing with experiments on diblock copolymer modified
thermoplastic-thermoplastic interfaces' and with the prediction from
the fracture mechanism map(2) that the transition is independent of ch
ain length. We observed a nearly linear decrease in the maximum achiev
able Sigma as N increased that can be explained in part by an entropic
barrier that opposes the addition of new chains to the grafted brush.
The toughest interfaces occurred with intermediate length grafted cha
ins, N = 838, when the chains were well entangled and the grafted brus
h was dense enough, Sigma > Sigma(c), to cause energy dissipation thro
ugh craze formation.