Theories of bulk melting rely on a sudden proliferation of crystalline
defects in order to destabilize the lattice. However, these scenarios
were never confirmed experimentally, as it is impossible to approach
the transition sufficiently to see critical behaviour. In experiments
investigating plastic pow of solid He-4, we observed such critical beh
aviour involving a dramatic decrease of the resistance to shear near t
he first order bcc-hcp transition at 1.772K on the melting curve. By m
easuring the plastic flow over a wide range of sheer stress, we were a
ble to differentiate between the contribution of vacancies and of disl
ocations to this process. We argue that the mechanism by which the cry
stal loses its shear resistance involves coupling of vacancy diffusion
with a transverse phonon which softens as the transition is approache
d. Dislocations seem to play no fundamental role in this process. Thes
e results suggest a refinement of the Lindemann picture, as the phonon
mode which plays a dominant role in this process is near the edge of
the Brillouin zone.