A new class of compressible elastic solids, which includes the Blatz-K
o material as a special case, is proposed. A closed-form solution is c
onstructed and studied for a bifurcation problem modeling void formati
on in this class of compressible elastic solids. The relation between
the void-formation condition and the material parameters is obtained a
nalytically. An energy comparison of the void-formation deformation an
d the homogeneous expansion deformation is carried out.