Exact analytical results are obtained for the flux-pinning-induced mag
netostriction in cylindrical type-II superconductors placed in paralle
l magnetic fields. New modes of irreversible deformation are found: In
contrast to the circular cylinder where shape is conserved, it is sho
wn that a square cross section deforms with considerable distortion. D
uring a field cycle, concave, convex, and even more complicated distor
tions are predicted. Strong implications for dilatometric measurements
on crystals are emphasized. The main results are valid for any critic
al-state model, j(c) = j(c)(B).