  The interplay of inertia and elasticity is shown to have a significant impact
on the transport of filamentary objects, modelled by bead-spring chains, in a
two-dimensional turbulent flow. We show how elastic interactions amongst
inertial beads result in a non-trivial sampling of the flow, ranging from
entrapment within vortices to preferential sampling of straining regions. This
behavior is quantified as a function of inertia and elasticity and is shown to
be very different from free, non-interacting heavy particles, as well as
inertialess chains [Picardo et al., Phys. Rev. Lett. 121, 244501 (2018)]. In
addition, by considering two limiting cases, of a heavy-headed and a
uniformly-inertial chain, we illustrate the critical role played by the mass
distribution of such extended objects in their turbulent transport.
