  We construct weak solutions to the 3D hypoviscous incompressible
elastodynamics with finite kinetic energy which was unknown in literatures. Our
result holds for fractional hypoviscosity $(-\Delta)^\theta$, where
$0\leq\theta<1$. The method is to apply the convex integration scheme with
intermittent building blocks which are based on the inherent geometric
structure of the viscoelastic equations.
