ON THE STRAIGHTENING OF COMPRESSIBLE, NONLINEARLY ELASTIC, ANNULAR CYLINDRICAL SECTORS

The authors consider the plane-strain straightening of annular cylindr ical sectors composed of isotropic, compressible, nonlinearly elastic solids. For zero-body forces and boundary conditions of place, the exi stence and uniqueness of solutions are established under the assumptio n that the material satisfies the tension-extension condition. The res ult is exemplified by considering a compressible neo-Hookean material and a generalized Blatz-Ko material for which closed-form solutions ar e displayed. Also discussed are certain cases of nonexistence and nonu niqueness of solutions.