We
present a coordinated experimental, simulation, and theoretical
study of how polymer network permanent cross-links impact the segmental
relaxation time over a wide range of temperatures and different criteria
for defining the glass transition temperature, T
g. The simulations adopt a coarse-grained model calibrated
to represent the specific polymer chemistry of interest. The elastically
collective nonlinear Langevin equation (ECNLE) theory of activated
segmental relaxation is extended to explicitly treat chain semiflexibility
and network cross-linkers, with the latter modeled as locally pinned
or vibrating sites. Our key findings include the following: (i) tight
cross-linking leads to very large increases of the segmental relaxation
time and elevation of T
g, which grows
roughly linearly with cross-link fraction beyond a low threshold,
(ii) a remarkably good (but not perfect) collapse of Angell plots
of the alpha relaxation time for all cross-link densities studied
based on using the cross-link fraction dependent dynamic T
g, which applies for very different dynamic vitrification
time scale criteria, and (iii) construction of a microscopic understanding
of the experimental and simulation observations based on the central
idea of ECNLE theory that activated structural relaxation involves
cross-link fraction dependent coupled local cage and nonlocal collective
elastic barriers. Overall, excellent agreement between experiment,
theory, and simulation is found. We suggest that our study of how
quenched chemical cross-links strongly modify the alpha relaxation
is more generally valuable as a distinct probe of the basic physics
of glassy polymer dynamics and as a flexible tool to manipulate small-molecule
diffusion in membrane applications.