We
systematically investigate the effects of composition on the
dynamic mechanical properties of bottlebrush polymer networks self-assembled
by linear–bottlebrush–linear triblock copolymers. We
fix the molecular architecture of the bottlebrush, which consists
of 51 poly(dimethyl siloxane) (PDMS) side chains of 5 kg/mol and has
a molecular weight of 255 kg/mol, and increase only the volume fraction f of the linear poly(benzyl methacrylate) (PBnMA) blocks.
As f increases from 0.05 to 0.41, the network shear
modulus G at room temperature increases from ∼4
to ∼100 kPa. Yet, depending on the network morphology, the
relation between G and f exhibits
two regimes. (i) For sphere morphology, G is nearly
a constant; yet, because of a large fraction of loops, the absolute
value of G is about 40% of the stiffness G
m of the PDMS bottlebrush matrix. (ii) For cylinder
morphology, G increases slowly with f but remains nearly 4 orders of magnitude lower than 109 Pa for the glassy cylinders formed by the end PBnMA blocks. We explain
this remarkable behavior by modeling the polymer as a polycrystalline
material consisting of randomly oriented grains, and each grain is
a fiber-reinforced composite. We propose a modified Halpin–Tsai
model to describe the shear modulus of such a polycrystalline material: G = G
m(1+ζf)/(1–f), in which ζ is an adjustable
parameter that describes the grain size relative to the fiber diameter.
Above the glass-transition temperature of end blocks, the reinforcement
to network modulus from the glassy fibers diminishes, such that G becomes a constant of the matrix stiffness. Our results
not only reveal previously unexplored molecule–structure–property
relations of self-assembled bottlebrush polymer networks but also
provide a new class of soft, solvent-free, and reprocessable polymeric
materials with a wide range of controllable stiffness.