Low-stress creep measurements on a nematic liquid crystal polymer indicate
that it is a viscoelastic solid, with a modulus of 100 dynes/cm(2) and a yi
eld stress of 50 dynes/cm(2). Both smectics and nematics are viscoelastic s
olids at very low stress levels, with a modulus that is related to their de
fect texture. At stress levels somewhat above the yield stress, there is a
yielding regime where the deformation rate and defect spacing are power law
s in the applied stress. We understand these power laws using the ideas dev
eloped long ago by Orowan for the motion of line defects in crystalline sol
ids. The exponents of these power laws are different for nematics and smect
ics, but the nematic universality class also appears to apply to superplast
ic metals and ceramics.