When a linear isotropic elastic material is under a uniform pressure, it pr
oduces a uniform contraction. If the material is anisotropic, it in general
does not produce a uniform contraction except for a cubic material. We wil
l show that there are special linear anisotropic elastic materials other th
an cubic materials for which a uniform contraction is possible under a unif
orm pressure. The material can be any one of the eight crystal groups. It m
eans that the material can be monoclinic, orthotropic, trigonal, tetragonal
, transversely isotropic, and, of course, cubic or isotropic. It can also b
e triclinic; that is, the material need not possess a plane of symmetry.