Rice University
Houston, Texas, U. S. A.
The constraint of incompressibility has led to the discovery of several exact solutions in isotropic finite elasticity, most notably the controllable or universal solutions of Rivlin and others. Ericksen has examined the problem of finding all such solutions. He has also proved that there are no controllable finite deformations in isotropic compressible elasticity, except for homogeneous deformations.