After their generation, cosmological backgrounds of gravitational waves propagate nearly
freely but for the expansion of the Universe and the anisotropic stress of free-streaming
particles. Primordial signals — both that from inflation and the infrared spectrum associated to
subhorizon production mechanisms — would carry clean information about the cosmological history of
these effects. We study the modulation of the standard damping of gravitational waves by
free-streaming radiation due to the decoupling (or recoupling) of interactions. We focus on
nonstandard neutrino interactions in effect after the decoupling of weak interactions as well as
more general scenarios in the early Universe involving other light relics. We develop
semianalytic results in fully free-streaming scenarios to provide intuition for numerical results
that incorporate interaction rates with a variety of temperature dependencies. Finally, we
compute the imprint of neutrino interactions on the B-mode polarization of the cosmic microwave
background, and we comment on other means to infer the presence of such effects at higher
frequencies.